Quantum game system for promoting green transformation of building industry

Abstract

The invention discloses a quantum game system for promoting green transformation of the building industry, and relates to the field of low-carbon technology development of the building industry. The quantum game system for promoting green transformation of the building industry comprises a main body and strategy defining module, a quantum game model building module, a quantum strategy implementation and evolution module, a quantum state evolution analysis module, an analogue simulation analysis module and a suggestion generation module. According to the method, decision-making interaction and optimization strategy selection of a low-carbon technology adopted by three parties are simulated to achieve maximization of environmental benefits, and limitation in traditional decision-making is broken through by using quantum entanglement and quantum strategies, so that substantial progress of the building industry in green transformation is promoted, and common benefits of the society and the environment are achieved.

Description

Technical Field

[0001] The present invention relates to the field of low-carbon technology development in the construction industry, and specifically, to a quantum game system for promoting the green transformation of the construction industry. Background Art

[0002] Globally, the impact of the construction industry on the environment has become an issue that cannot be ignored. Construction activities not only consume a lot of energy, but also produce a lot of greenhouse gases, which has a significant impact on climate change. With the increase in public awareness of environmental protection, the green transformation and development of the construction industry has become a key path to achieving sustainable development goals. Although attempts have been made to promote low-carbon technologies, these technologies still face many obstacles in practical application due to the lack of effective strategic coordination and balance of interests. This has led to slow progress in the construction industry's green transformation, and innovative methods are urgently needed to promote technological progress and environmental protection.

[0003] The promotion of low-carbon technologies in the construction industry is constrained by a variety of factors, including high R&D and implementation costs, the market's inertial reliance on traditional technologies, and the inadequacy of existing regulatory tools in stimulating innovation. In addition, due to the lack of a decision-making model that can fully reflect environmental benefits and coordinate the interests of multiple parties, market participants often find it difficult to reach a consensus on promoting the development of low-carbon technologies.

[0004] Currently, no effective solution has been proposed for the problems in the related technologies. Summary of the invention

[0005] 1. Technical issues to be solved

[0006] In view of the shortcomings of the existing technology, the present invention provides a quantum game system to promote the green transformation of the construction industry. It has the advantages of simulating the decision-making interaction of three parties to adopt low-carbon technologies and optimizing strategy selection in order to maximize environmental benefits. It also uses quantum entanglement and quantum strategies to break the limitations of traditional decision-making, promote the construction industry to make substantial progress in green transformation, and realize the common interests of society and the environment, thereby solving the coordination problem in the development of low-carbon technologies in the construction industry.

[0007] (II) Technical solution

[0008] In order to achieve the above-mentioned decision-making interaction of simulating the three parties to adopt low-carbon technologies, optimize the strategy selection, so as to maximize the environmental benefits, and use quantum entanglement and quantum strategies to break the limitations of traditional decision-making, promote the construction industry to make substantial progress in green transformation, and achieve the common interests of society and the environment, the specific technical solutions adopted by the present invention are as follows:

[0009] A quantum game system for promoting green transformation of the construction industry, the quantum game system for promoting green transformation of the construction industry comprising: a subject and strategy definition module, a quantum game model construction module, a quantum strategy implementation and evolution module, a quantum state evolution analysis module, a simulation analysis module and a suggestion generation module;

[0010] The subject and strategy definition module is used to conduct market research and regulatory analysis using pre-defined standardized questionnaires to identify the parties involved and determine the likelihood of them adopting low-carbon technologies;

[0011] The participants include the supervisor, the first game party and the second game party;

[0012] The quantum game model building module is used to use quantum game theory to build a quantum game model and simulate the interactive decision-making of participants in adopting low-carbon technologies through the quantum game model;

[0013] The quantum strategy implementation and evolution module is used by the participants to implement the quantum strategy according to the preset quantum strategy, convert it into the superposition state of quantum bits through quantum gate operation, and determine the output results of the participant's strategy through quantum strategy;

[0014] The quantum state evolution analysis module is used to determine the game strategies and results under different entanglement states by considering the possibility of quantum entanglement;

[0015] The simulation analysis module is used to combine carbon trading management regulations and regulatory measures, and use numerical simulation to analyze the impact of different parameters on the benefits of participants and environmental benefits;

[0016] The suggestion generation module is used to generate management regulations based on simulation results to optimize regulatory strategies and improve cooperation efficiency.

[0017] Further, the use of pre-established standardized questionnaires to conduct market research and regulatory analysis, identify the participants, and determine the likelihood of the participants adopting low-carbon technologies includes:

[0018] Conduct market research and regulatory analysis using pre-defined standardized questionnaires to clarify the roles and responsibilities of supervisors, first players and second players;

[0019] Based on a pre-defined standardized questionnaire and the collection of information publicly available online, the needs of the supervisor, the first player and the second player in adopting low-carbon technologies are obtained;

[0020] Determine the strategy options of the supervisor, the first player, and the second player.

[0021] Furthermore, quantum game theory is used to establish a quantum game model, and the interactive decision-making of participants in adopting low-carbon technologies is simulated through the quantum game model, including:

[0022] Determine the parameter setting of the three-party evolutionary game model including the supervisor, the first game party and the second game party;

[0023] Based on the parameter setting of the three-party evolutionary game model, a quantum game model including the supervisory party, the first game party and the second game party is constructed, and the quantum game model is used to simulate the strategy choices of the supervisory party, the first game party and the second game party under different management regulation tools.

[0024] Furthermore, the participants implement the quantum strategy by converting the quantum gate operation into the superposition state of the quantum bit according to the preset quantum strategy, and determine the output results of the participant's strategy through the quantum strategy, including:

[0025] Based on the quantum game model, quantum strategies are formulated for the supervisor, the first player and the second player respectively;

[0026] Use quantum gates to operate the strategies of the supervisor, the first player, and the second player respectively, convert them into superposition states of quantum bits, and define strategy matrices for the supervisor, the first player, and the second player respectively;

[0027] After the quantum gate operation, the strategy is converted into a quantum superposition state, and the quantum superposition state is quantum measured. According to the principles of quantum mechanics, the superposition state decays to the base state, and the measurement results are displayed as the probability amplitude of each strategy's return.

[0028] Based on the quantum measurement results, calculate and analyze the probability of the game outcome being a specific state;

[0029] The obtained probability of a specific state is combined with the traditional game theory payoff matrix to form a payoff model, and based on the payoff model, the payoff formulas of the supervisor, the first player and the second player are derived respectively;

[0030] According to the quantum strategy and profit formula, the supervisor, the first player and the second player implement corresponding strategies to achieve the optimal game result.

[0031] Furthermore, the formulas for defining the strategy matrix for the supervisor, the first player and the second player are as follows:

[0032]

[0033]

[0034]

[0035] In the formula, Represented as the strategy matrix of the supervisor;

[0036] It is represented as the strategy matrix of the first player;

[0037] Represented as the strategy matrix of the second player;

[0038] e represents the gain obtained under the traditional game;

[0039] i represents the identity matrix;

[0040] g represents the supervisory party;

[0041] d represents the first player;

[0042] c represents the second player;

[0043] θ g The parameter representing the attitude choice of the supervisor, ranging from actively adopting low-carbon technology to passively adopting low-carbon technology;

[0044] θ d It is expressed as the attitude choice of the first game player, which is the parameter of the attitude choice between actively adopting low-carbon technology and passively adopting low-carbon technology;

[0045] θ c It is expressed as the attitude choice of the second player, which is the parameter of the attitude choice between actively adopting low-carbon technology and passively adopting low-carbon technology;

[0046] φ g Represented as the quantum strategy parameters of the supervisory party;

[0047] φ d It is represented as the quantum strategy parameter of the first player;

[0048] φ c Expressed as the quantum strategy parameters of the second player.

[0049] Furthermore, based on the profit model, the profit formulas of the supervisor, the first game player and the second game player are derived as follows:

[0050] E g =e 11 P CCC +e 12 P CCD +e 13 P CDC +e 14 P CDD +e 15 P DCC +e 16 PDCD +e 17 P DDC +e 18 P DDD

[0051] E d =e 21 P CCC +e 22 P CCD +e 23 P CDC +e 24 P CDD +e 25 P DCC +e 26 P DCD +e 27 P DDC +e 28 P DDD

[0052] E c =e 31 P CCC +e 32 P CCD +e 33 P CDC +e 34 P CDD +e 35 P DCC +e 36 P DCD +e 37 P DDC +e 38 P DDD ;

[0053] In the formula, E g It is expressed as the payoff formula of the supervisor;

[0054] E d It is expressed as the payoff formula of the first player;

[0055] E c It is expressed as the payoff formula of the second player;

[0056] P represents the carbon trading price;

[0057] C represents the active adoption of low-carbon technologies;

[0058] D represents passive adoption of low-carbon technologies.

[0059] Furthermore, by considering the possibility of quantum entanglement, the game strategies and results under different entanglement states are determined, including:

[0060] Identify the states where the quantum exists with a degree of entanglement of zero and a degree of entanglement greater than zero, and determine the final state of the quantum bit at the end of the game under the states of zero entanglement and greater than zero entanglement;

[0061] According to the expected return analysis results, the optimal strategy is determined for the supervisor, the first player and the second player, and the strategy combination under the state of entanglement degree zero and entanglement degree greater than zero is identified to constitute a Nash equilibrium;

[0062] Evaluate whether there is a Pareto optimal strategy combination when the entanglement is zero and greater than zero.

[0063] Furthermore, combined with carbon trading management regulations and regulatory measures, numerical simulation is used to analyze the impact of different parameters on the benefits of participants and environmental benefits, including:

[0064] Obtain the current carbon trading management regulations and supervisory framework to set the simulation parameters;

[0065] Use numerical simulation to simulate the game results under different carbon trading management regulations;

[0066] The simulation results are analyzed to evaluate the impact of carbon trading management regulations on the revenue and environmental benefits of the supervisory party, the first game party and the second game party respectively.

[0067] Furthermore, when the entanglement degree is zero, the formula for determining the final state of the quantum bit at the end of the game is:

[0068]

[0069] When the entanglement degree is greater than zero, the formula for determining the final state of the quantum bit at the end of the game is:

[0070]

[0071] In the formula, ψ f 〉 represents the final quantum state in the state where the entanglement degree is zero;

[0072] ψ f1 〉 represents the final quantum state in a state where the entanglement degree is greater than zero;

[0073] B1, B2, B3, B4, B5, B6, B7, B8 represent the probability amplitude under each basis vector;

[0074] γ represents the degree of entanglement;

[0075] T represents the transpose of the matrix.

[0076] Furthermore, based on the simulation results, management regulations are generated to optimize the supervision strategy and improve the cooperation efficiency, including:

[0077] Integrate simulation results and stakeholder feedback to extract management regulation recommendations;

[0078] Formulate a report on recommendations for management regulations.

[0079] (III) Beneficial effects

[0080] Compared with the prior art, the present invention provides a quantum game system for promoting the green transformation of the construction industry, which has the following beneficial effects:

[0081] (1) The present invention provides a new incentive mechanism through quantum game theory, which can effectively solve the "prisoner's dilemma" in traditional game theory, promote cooperation between the supervisor, the first game party and the second game party, and jointly promote the application of low-carbon technology. By simulating the decision-making interaction of the three parties in adopting low-carbon technology, the strategy selection is optimized in order to maximize the environmental benefits, and quantum entanglement and quantum strategy are used to break the limitations of traditional decision-making, thereby promoting the construction industry to make substantial progress in green transformation and realize the common interests of society and the environment.

[0082] (2) The present invention can simulate and analyze the impact of different regulatory tools on promoting the use of low-carbon technologies, helping supervisors to accurately design regulatory strategies, including subsidies and penalties, to promote the green transformation of the construction industry.

[0083] (3) The present invention utilizes quantum game models to provide regulatory policy makers and industry participants with deeper insights, thereby improving efficiency and accuracy in the process of making decisions on low-carbon technology strategies.

[0084] (4) The management regulation recommendation report generated by the present invention not only includes a detailed description of the management regulation tool and expected effects, but also integrates potential risks and implementation guidelines. The depth and breadth of such recommendations provide a more comprehensive perspective for the management regulation makers. BRIEF DESCRIPTION OF THE DRAWINGS

[0085] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0086] Figure 1 It is a principle block diagram of a quantum game system for promoting green transformation of the construction industry according to an embodiment of the present invention.

[0087] In the figure:

[0088] 1. Subject and strategy definition module; 2. Quantum game model construction module; 3. Quantum strategy implementation and evolution module; 4. Quantum state evolution analysis module; 5. Simulation analysis module; 6. Suggestion generation module. DETAILED DESCRIPTION

[0089] To further illustrate each embodiment, the present invention provides drawings, which are part of the disclosure of the present invention and are mainly used to illustrate the embodiments and can be used in conjunction with the relevant descriptions in the specification to explain the operating principles of the embodiments. With reference to these contents, ordinary technicians in the field should be able to understand other possible implementations and advantages of the present invention. The components in the figures are not drawn to scale, and similar component symbols are generally used to represent similar components.

[0090] According to an embodiment of the present invention, a quantum game system for promoting the green transformation of the construction industry is provided.

[0091] The present invention is further described with reference to the accompanying drawings and specific embodiments. Figure 1 As shown, according to an embodiment of the present invention, the quantum game system for promoting the green transformation of the construction industry includes: a subject and strategy definition module 1, a quantum game model construction module 2, a quantum strategy implementation and evolution module 3, a quantum state evolution analysis module 4, a simulation analysis module 5 and a suggestion generation module 6;

[0092] Module 1 on subject and strategy definition, which uses a pre-defined standardized questionnaire to conduct market research and regulatory analysis, identify the parties involved, and determine the likelihood of them adopting low-carbon technologies;

[0093] The participants include the supervisor, the first game party and the second game party;

[0094] Quantum game model building module 2 is used to use quantum game theory to establish a quantum game model, and simulate the interactive decision-making of participants in adopting low-carbon technology through the quantum game model;

[0095] It needs to be explained that quantum game theory is used to establish a model including quantum superposition and quantum entanglement to simulate the interactive decision-making of the supervisory party, the first game party and the second game party to adopt low-carbon technology.

[0096] Quantum strategy implementation and evolution module 3, used by the participants to implement quantum strategies according to the preset quantum strategies, convert them into superposition states of quantum bits through quantum gate operations, and determine the output results of the strategies of the participants through quantum strategies;

[0097] The quantum state evolution analysis module 4 is used to determine the game strategy and results under different entanglement states by considering the possibility of quantum entanglement;

[0098] Simulation analysis module 5 is used to combine carbon trading management regulations and regulatory measures, and use numerical simulation to analyze the impact of different parameters on the benefits of participants and environmental benefits;

[0099] The suggestion generation module 6 is used to generate management regulations based on the simulation results to optimize the supervision strategy and improve the cooperation efficiency.

[0100] It should be explained that based on the simulation results, management regulation recommendations are generated to provide decision support for supervisory parties and industry participants to optimize regulatory strategies and improve cooperation efficiency.

[0101] Preferably, the market research and regulatory analysis using pre-defined standardized questionnaires are used to identify the parties involved and determine the likelihood of the parties adopting low-carbon technologies including:

[0102] Complete market research and regulatory analysis using pre-defined standardized questionnaires to clarify the roles and responsibilities of supervisors, first players and second players;

[0103] Based on a pre-defined standardized questionnaire and the collection of information publicly available online, the needs of the supervisor, the first player and the second player in adopting low-carbon technologies are obtained;

[0104] Determine the strategy options of the supervisor, the first player, and the second player.

[0105] It needs to be explained that the strategy options of the supervisory party, the first game party and the second game party are determined. The supervisory party can choose between active supervision and passive supervision, and the first game party and the second game party can choose between actively adopting low-carbon technology and passively adopting low-carbon technology.

[0106] Preferably, quantum game theory is used to establish a quantum game model, and the interactive decision-making of participants in adopting low-carbon technologies is simulated through the quantum game model, including:

[0107] Determine the parameter setting of the three-party evolutionary game model including the supervisor, the first game party and the second game party;

[0108] It should be explained that the parameters of the three-party evolutionary game model are shown in Table 1:

[0109] Table 1: Parameter description of the three-party evolutionary game model

[0110]

[0111]

[0112] Based on the parameter setting of the three-party evolutionary game model, a quantum game model including the supervisory party, the first game party and the second game party is constructed, and the quantum game model is used to simulate the strategy choices of the supervisory party, the first game party and the second game party under different management regulation tools.

[0113] Preferably, the participants implement the quantum strategy by converting the quantum gate operation into a superposition state of quantum bits according to the preset quantum strategy, and determine the output result of the participant's strategy through the quantum strategy, including:

[0114] Based on the quantum game model, quantum strategies are formulated for the supervisor, the first player and the second player respectively;

[0115] Use quantum gates to operate the strategies of the supervisor, the first player, and the second player respectively, convert them into superposition states of quantum bits, and define strategy matrices for the supervisor, the first player, and the second player respectively;

[0116] After the quantum gate operation, the strategy is converted into a quantum superposition state, and the quantum superposition state is quantum measured. According to the principles of quantum mechanics, the superposition state decays to the base state, and the measurement results are displayed as the probability amplitude of each strategy's return.

[0117] Based on the quantum measurement results, calculate and analyze the probability of the game outcome being a specific state;

[0118] The obtained probability of a specific state is combined with the traditional game theory payoff matrix to form a payoff model, and based on the payoff model, the payoff formulas of the supervisor, the first player and the second player are derived respectively;

[0119] It needs to be explained that the traditional game theory payoff matrix is ​​shown in Table 2:

[0120] Table 2: Description of the payoff matrix of the three-party traditional evolutionary game

[0121]

[0122] According to the quantum strategy and profit formula, the supervisor, the first player and the second player implement corresponding strategies to achieve the optimal game result.

[0123] Preferably, the formulas for defining the strategy matrix for the supervisor, the first player and the second player are as follows:

[0124]

[0125]

[0126]

[0127] In the formula, Represented as the strategy matrix of the supervisor;

[0128] It is represented as the strategy matrix of the first player;

[0129] Represented as the strategy matrix of the second player;

[0130] e represents the gain obtained under the traditional game;

[0131] i represents the identity matrix;

[0132] g represents the supervisory party;

[0133] d represents the first player;

[0134] c represents the second player;

[0135] θ g The parameter representing the attitude choice of the supervisor, ranging from actively adopting low-carbon technology to passively adopting low-carbon technology;

[0136] θ d It is expressed as the attitude choice of the first game player, which is the parameter of the attitude choice between actively adopting low-carbon technology and passively adopting low-carbon technology;

[0137] θ c It is expressed as the attitude choice of the second player, which is the parameter of the attitude choice between actively adopting low-carbon technology and passively adopting low-carbon technology;

[0138] φ g Represented as the quantum strategy parameters of the supervisory party;

[0139] φ d It is represented as the quantum strategy parameter of the first player;

[0140] φ c Expressed as the quantum strategy parameters of the second player.

[0141] Preferably, the profit formulas of the supervisor, the first game party and the second game party are derived based on the profit model as follows:

[0142] E g =e 11 P CCC +e 12 P CCD +e 13 P CDC +e 14 P CDD +e 15 P DCC +e 16 P DCD +e17 P DDC +e 18 P DDD

[0143] E d =e 21 P CCC +e 22 P CCD +e 23 P CDC +e 24 P CDD +e 25 P DCC +e 26 P DCD +e 27 P DDC +e 28 P DDD

[0144] E c =e 31 P CCC +e 32 P CCD +e 33 P CDC +e 34 P CDD +e 35 P DCC +e 36 P DCD +e 37 P DDC +e 38 P DDD ;

[0145] In the formula, E g It is expressed as the payoff formula of the supervisor;

[0146] E d It is expressed as the payoff formula of the first player;

[0147] E c It is expressed as the payoff formula of the second player;

[0148] P represents the carbon trading price;

[0149] C represents the active adoption of low-carbon technologies;

[0150] D represents passive adoption of low-carbon technologies.

[0151] It should be explained that the probability that the result of the measurement game is (σ1, σ2) is P σ1σ2 ,at this time:

[0152]

[0153] These probabilities are at the core of decision-making outcomes in quantum games, revealing the possibilities of game gains for each party at the quantum level. Next, these probabilities are combined with the traditional game theory gain matrix to form a comprehensive gain model. This allows the gain formulas for the supervisor, the first player, and the second player to be derived.

[0154] Preferably, by considering the possibility of quantum entanglement, determining the game strategies and results under different entanglement states includes:

[0155] Identify the states where the quantum exists with a degree of entanglement of zero and a degree of entanglement greater than zero, and determine the final state of the quantum bit at the end of the game under the states of zero entanglement and greater than zero entanglement;

[0156] It should be explained that in the three-party quantum game involving the supervisor, the first game party and the second game party, the degree of quantum entanglement presents two different situations: one is the situation where the quantum entanglement value is zero, and the other is the situation where the quantum entanglement value is greater than zero. This application aims to clarify the game strategies and their corresponding results under different degrees of entanglement by comparing these two different entanglement states.

[0157] It should be explained that, in the context of quantum games, combined with the payoff matrix of the supervisor, assuming that both the first and second players choose the betrayal strategy, then in this case, the quantum strategies adopted by the first and second players are:

[0158]

[0159] At this time, the expected profit formula of the supervisor is:

[0160]

[0161] In the traditional static game dilemma, if the conditions T1+T1+Q1 are met g +C g , then we can deduce T1+T1-B g +C g <0. According to this derivation, it can be found that the expected benefit of the supervisor is as θ g increases with the increase of φ, and this increase is not affected by g Therefore, the optimal strategy for the supervisor is U g (π,φ g ). The expected benefit of the supervisor is When the first and second players choose to betray, the supervisor cannot increase his profit by changing his strategy even if he does not adopt the betrayal strategy. ​In the absence of quantum entanglement, this strategy combination is still a Nash equilibrium. This means that the dilemma of the game has not been solved. Analyzing this Nash equilibrium point from the perspective of the first and second players will also lead to the same conclusion.

[0162] It should be explained that when examining the expected benefits of the supervisor, if both the first and second players adopt a specific strategy Then in this case, the quantum strategies adopted by the first and second players are:

[0163]

[0164] At this time, the expected profit formula of the supervisor is:

[0165]

[0166] By analyzing the above expected benefit formula of the supervisor, it can be seen that the expected benefit of the supervisor increases with θ g increases with the increase of φ g Therefore, the strategy finally chosen by the supervisor is

[0167] Under this strategy, we can observe that the supervisor’s profit function E g increases with the increase of γ, which means that γ has a positive impact on the revenue of the supervisor. The original strategy combination It no longer constitutes a Nash equilibrium. Since quantum games have a certain symmetry, we can draw similar conclusions by conducting similar analysis on the first and second players. In this case, assuming that the strategies of the other two parties remain unchanged, the supervisory party alone cannot exceed the profit limit set by the strategies of other participants, and therefore cannot promote the growth of the supervisory party's profit.

[0168] It should be explained that when examining the expected return of the first player, if both the supervisor and the second player adopt a specific strategy In this case, the quantum strategies adopted by the supervisor and the second player are:

[0169]

[0170] At this time, the expected profit of the first player is:

[0171]

[0172] By analyzing the above formula, we can see that the expected return of the first player increases with θ d increases with the increase of φ dTherefore, the strategy finally chosen by the first player is Under this strategy, it can be observed that the first player's profit increases with the increase of γ, which means that γ has a positive impact on the first player's profit. In this case, the first player chooses the strategy When the first player reaches the highest point, its profit will reach the highest point. Based on its own interests, the first player will eventually tend to choose the same strategy as the supervisor and the second player.

[0173] It should be explained that when examining the expected return of the second player, if both the supervisor and the first player adopt a specific strategy Then in this case, the quantum strategies adopted by the first player and the supervisor are:

[0174]

[0175] At this time, the expected profit formula of the second player is:

[0176]

[0177] By analyzing the expected return formula of the second player above, we can see that the expected return of the second player increases with θ c increases with the increase of θ c Therefore, the final strategy chosen by the second player is Under this strategy, it can be observed that the revenue of the second player increases with the increase of γ, which means that γ has a positive impact on the revenue of the second player. The second player chooses a strategy When the second player reaches the highest point, its profit will reach the highest point. Based on its own interests, the second player will eventually tend to choose the same strategy as the supervisor and the first player.

[0178] In this scenario, for the system where the supervisor, the first player, and the second player jointly adopt low-carbon technology, the strategy combination is It constitutes a Nash equilibrium, that is, when the strategies of other participants are fixed, no party can increase its benefits by changing its own strategy alone; moreover, this strategy combination also represents the Pareto optimal state of the system, that is, under this strategy configuration, there is no way to redistribute resources that can at least improve the interests of one participant without causing harm to other participants.

[0179] According to the expected return analysis results, the optimal strategy is determined for the supervisor, the first player and the second player, and the strategy combination under the state of entanglement degree zero and entanglement degree greater than zero is identified to constitute a Nash equilibrium;

[0180] Evaluate whether there is a Pareto optimal strategy combination when the entanglement is zero and greater than zero.

[0181] Preferably, in combination with carbon trading management regulations and regulatory measures, numerical simulation is used to analyze the impact of different parameters on the benefits of participants and environmental benefits, including:

[0182] Obtain the current carbon trading management regulations and supervisory framework, that is, determine the current carbon trading data and supervisory attitude of the supervisor, and set the simulation parameters accordingly;

[0183] Use numerical simulation to simulate the game results under different carbon trading management regulations and different management frameworks of regulators;

[0184] The simulation results are analyzed to evaluate the impact of carbon trading management regulations on the revenue and environmental benefits of the supervisory party, the first game party and the second game party respectively.

[0185] It needs to be explained that ψ f > is the final quantum state, |C> represents the cooperative state, and |D> represents the defective state is a quantum gate, is the Pauli-x matrix, γ represents the degree of entanglement, The strategy space available to all parties involved is They are the strategy matrices of the supervisor, the first player and the second player respectively.

[0186] It should be explained that in quantum game theory, the traditional three-party game strategy is mapped and associated to the matrix representation of the strategy. In addition, under this quantum game framework, a unique strategy option will be derived

[0187] Preferably, in a state where the entanglement degree is zero, the formula for determining the final state of the quantum bit at the end of the game is:

[0188]

[0189] When the entanglement degree is greater than zero, the formula for determining the final state of the quantum bit at the end of the game is:

[0190]

[0191] In the formula, ψ f > is represented as the final quantum state in a state where the entanglement degree is zero;

[0192] ψ f1 > is represented as the final quantum state in a state where the entanglement degree is greater than zero;

[0193] B1, B2, B3, B4, B5, B6, B7, B8 represent the probability amplitude under each basis vector;

[0194] γ represents the degree of entanglement;

[0195] T represents the transpose of the matrix.

[0196] It needs to be explained that by calculating the final state of quantum, the corresponding results can be obtained:

[0197]

[0198]

[0199]

[0200]

[0201]

[0202]

[0203]

[0204]

[0205]

[0206] It should be explained that by adjusting the strategies of the participating parties f >The superposition state is quantum measured, and the superposition state will decay to each mutually orthogonal basis state with a specific probability according to the fundamental laws of quantum mechanics. The results obtained from the measurement will show the probability amplitude of each strategy's return.

[0207] Preferably, according to the simulation results, management regulations are generated to optimize the supervision strategy and improve the cooperation efficiency, including:

[0208] Integrate simulation results and stakeholder feedback to extract management regulation recommendations;

[0209] Prepare a management regulations recommendation report, including the optimization direction and implementation details of the regulatory strategy.

[0210] In summary, with the help of the above technical solutions of the present invention, the present invention provides a new incentive mechanism through quantum game theory, which can effectively solve the "prisoner's dilemma" in traditional game theory, promote the cooperation between the supervisor, the first game party and the second game party, and jointly promote the application of low-carbon technology. By simulating the decision-making interaction of the three parties to adopt low-carbon technology, the strategy selection is optimized in order to maximize the environmental benefits, and quantum entanglement and quantum strategy are used to break the limitations of traditional decision-making, thereby promoting the construction industry to make substantial progress in green transformation and achieve the common interests of society and the environment. The present invention can simulate and analyze the impact of different management tools on promoting the application of low-carbon technology, and help the supervisor to accurately design regulatory strategies, including subsidies and penalties, to promote the green transformation of the construction industry. The present invention uses quantum game models to provide deeper insights for management policy makers and industry participants, thereby improving efficiency and accuracy in the process of adopting low-carbon technology strategy decisions. The management rule recommendation report generated by the present invention not only contains a detailed description of the management tool and expected effects, but also integrates potential risks and implementation guidelines. The depth and breadth of this recommendation provide a more comprehensive perspective for management policy makers.

[0211] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims

1. A quantum game system for promoting green transformation of the construction industry, characterized in that: The quantum game system for promoting green transformation of the construction industry includes: subject and strategy definition module, quantum game model construction module, quantum strategy implementation and evolution module, quantum state evolution analysis module, simulation analysis module and suggestion generation module; The subject and strategy definition module is used to conduct market research and management regulations analysis using a pre-established standardized questionnaire to identify the participants and determine the likelihood of the participants adopting low-carbon technologies; The participants include a supervisor, a first gaming party and a second gaming party; The quantum game model building module is used to establish a quantum game model using quantum game theory, and to simulate the interactive decision-making of participants in adopting low-carbon technologies through the quantum game model; The quantum strategy implementation and evolution module is used by the participants to implement the quantum strategy according to the preset quantum strategy, convert it into the superposition state of quantum bits through quantum gate operation, and determine the output result of the participant's strategy through the quantum strategy; The quantum state evolution analysis module is used to determine the game strategies and results under different entanglement states by considering the possibility of quantum entanglement; The simulation analysis module is used to combine carbon trading management regulations and regulatory measures to use numerical simulation to analyze the impact of different parameters on the benefits of participants and environmental benefits; The suggestion generation module is used to generate management regulations based on the simulation results to optimize the supervision strategy and improve the cooperation efficiency.

2. According to claim 1, a quantum game system for promoting green transformation of the construction industry is characterized in that: The method for conducting market research and regulatory analysis using a pre-defined standardized questionnaire to identify the participants and determine the likelihood of the participants adopting low-carbon technologies includes: Conduct market research and regulatory analysis using pre-defined standardized questionnaires to clarify the roles and responsibilities of supervisors, first players and second players; Based on a pre-defined standardized questionnaire and the collection of information publicly available online, the needs of the supervisor, the first player and the second player in adopting low-carbon technologies are obtained; Determine the strategy options of the supervisor, the first player, and the second player.

3. A quantum game system for promoting green transformation of the construction industry according to claim 2, characterized in that: The quantum game model is established by using quantum game theory, and the interactive decision-making of participants in adopting low-carbon technology is simulated by the quantum game model, including: Determine the parameter setting of the three-party evolutionary game model including the supervisor, the first game party and the second game party; Based on the parameter setting of the three-party evolutionary game model, a quantum game model including the supervisory party, the first game party and the second game party is constructed, and the quantum game model is used to simulate the strategy choices of the supervisory party, the first game party and the second game party under different management regulation tools.

4. A quantum game system for promoting green transformation of the construction industry according to claim 3, characterized in that: The participants implement the quantum strategy by converting the quantum gate operation into a superposition state of quantum bits according to the preset quantum strategy, and determine the output result of the participant's strategy through the quantum strategy, including: Based on the quantum game model, quantum strategies are formulated for the supervisor, the first player and the second player respectively; Use quantum gates to operate the strategies of the supervisor, the first player, and the second player respectively, convert them into superposition states of quantum bits, and define strategy matrices for the supervisor, the first player, and the second player respectively; After the quantum gate operation, the strategy is converted into a quantum superposition state, and the quantum superposition state is quantum measured. According to the principles of quantum mechanics, the superposition state decays to the base state, and the measurement results are displayed as the probability amplitude of each strategy's return. Based on the quantum measurement results, calculate and analyze the probability of the game outcome being a specific state; The obtained probability of a specific state is combined with the traditional game theory payoff matrix to form a payoff model, and based on the payoff model, the payoff formulas of the supervisor, the first player and the second player are derived respectively; According to the quantum strategy and profit formula, the supervisor, the first player and the second player implement corresponding strategies to achieve the optimal game result.

5. A quantum game system for promoting green transformation of the construction industry according to claim 4, characterized in that: The formulas for defining the strategy matrices for the supervisor, the first player and the second player are: In the formula, Represented as the strategy matrix of the supervisor; It is represented as the strategy matrix of the first player; Represented as the strategy matrix of the second player; e represents the gain obtained under the traditional game; i represents the identity matrix; g represents the supervisory party; d represents the first player; c represents the second player; θ g The parameter representing the attitude choice of the supervisor, ranging from actively adopting low-carbon technology to passively adopting low-carbon technology; θ d It is expressed as the attitude choice of the first game player, which is the parameter of the attitude choice between actively adopting low-carbon technology and passively adopting low-carbon technology; θ c It is expressed as the attitude choice of the second player, which is the parameter of the attitude choice between actively adopting low-carbon technology and passively adopting low-carbon technology; φ g Represented as the quantum strategy parameters of the supervisory party; φ d It is represented as the quantum strategy parameter of the first player; φ c Expressed as the quantum strategy parameters of the second player.

6. A quantum game system for promoting green transformation of the construction industry according to claim 5, characterized in that: The profit formulas derived from the profit model for the supervisor, the first game player and the second game player are: AND g =and 11 P CCC +e 12 P CCD +e 13 P CDC +e 14 P CDD +e 15 P DCC +e 16 P DCD +e 17 P DDC +e 18 P DDD AND d =and 21 P CCC +e 22 P CCD +e 23 P CDC +e 24 P CDD +e 25 P DCC +e 26 P DCD +e 27 P DDC +e 28 P DDD AND c =and 31 P CCC +e 32 P CCD +e 33 P CDC +e 34 P CDD +e 35 P DCC +e 36 P DCD +e 37 P DDC +e 38 P DDD ; In the formula, E g It is expressed as the payoff formula of the supervisor; E d It is expressed as the payoff formula of the first player; E c It is expressed as the payoff formula of the second player; P represents the carbon trading price; C represents the active adoption of low-carbon technologies; D represents passive adoption of low-carbon technologies.

7. A quantum game system for promoting green transformation of the construction industry according to claim 6, characterized in that: The determination of the gaming strategies and results under different entanglement states by considering the possibility of quantum entanglement includes: Identify the states where the quantum exists with a degree of entanglement of zero and a degree of entanglement greater than zero, and determine the final state of the quantum bit at the end of the game under the states of zero entanglement and greater than zero entanglement; According to the expected return analysis results, the optimal strategy is determined for the supervisor, the first player and the second player, and the strategy combination under the state of entanglement degree zero and entanglement degree greater than zero is identified to constitute a Nash equilibrium; Evaluate whether there is a Pareto optimal strategy combination when the entanglement is zero and greater than zero.

8. A quantum game system for promoting green transformation of the construction industry according to claim 7, characterized in that: The above-mentioned combination of carbon trading management regulations and regulatory measures, using numerical simulation to analyze the impact of different parameters on the benefits of participants and environmental benefits includes: Obtain the current carbon trading management regulations and supervisory framework to set the simulation parameters; Use numerical simulation to simulate the game results under different carbon trading management regulations; The simulation results are analyzed to evaluate the impact of carbon trading management regulations on the revenue and environmental benefits of the supervisory party, the first game party and the second game party respectively.

9. A quantum game system for promoting green transformation of the construction industry according to claim 8, characterized in that: In the state of zero entanglement, the formula for determining the final state of the quantum bit at the end of the game is: When the entanglement degree is greater than zero, the formula for determining the final state of the quantum bit at the end of the game is: In the formula, ψ f 〉 represents the final quantum state in the state where the entanglement degree is zero; ψ f1 〉 represents the final quantum state in a state where the entanglement degree is greater than zero; B1, B2, B3, B4, B5, B6, B7, B8 represent the probability amplitude under each basis vector; γ represents the degree of entanglement; T represents the transpose of the matrix.

10. A quantum game system for promoting green transformation of the construction industry according to claim 9, characterized in that: The generation of management regulations based on simulation results to optimize regulatory strategies and improve cooperation efficiency includes: Integrate simulation results and stakeholder feedback to extract management regulation recommendations; Formulate a report on recommendations for management regulations.

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