Real-time wagering payoff function prevents arbitrage
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
In computer-implemented prediction markets, arbitrage opportunities can lead to financial losses for service centers and incentivize users to make wagers not based on their true beliefs, as participants can risklessly profit or split wagers across multiple identities.
Innovation Solution
A multi-user, multi-event real-time online wagering system with a payoff function that computes scores based on probability estimates and aggregate wagers, ensuring that payoffs are zero or less than zero for at least one outcome, preventing arbitrage and rewarding accurate information while discouraging identity splitting.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If a traditional wagering system allows participants to place wagers with positive payoff guarantees, then users can risklessly profit, but the service center loses money and arbitrage opportunities arise
Solution Approach 1:
The patent transforms the payoff structure from traditional binary win/loss to a continuous scoring system based on probability predictions. The payoff function P(o|w) calculates expected payoffs based on outcome o and wager w, changing the fundamental parameter of how winnings are determined. This eliminates arbitrage opportunities while maintaining user engagement through accurate probability-based scoring.
Solution Approach 2:
The system implements feedback by revealing aggregate probability distributions to participants after each event. This feedback loop allows users to see how their predictions compare to the collective wisdom, enabling them to adjust future wagers based on actual performance rather than exploiting arbitrage. The feedback mechanism aligns user incentives with accurate prediction rather than riskless profit.
2Measurement precision
If the payoff function rewards accurate predictions, then users provide better information about true beliefs, but arbitrage opportunities can still occur without true belief wagering
Solution Approach 1:
Instead of rewarding users for being right about outcomes, the system inverts the approach by rewarding users for accurately predicting probability distributions. The payoff function evaluates how well a user's predicted probabilities match the actual outcome frequencies across multiple events, not just whether individual predictions were correct. This inversion prevents arbitrage while maintaining measurement precision.
Solution Approach 2:
The system requires users to submit probability distributions as preliminary actions before outcomes are known, rather than allowing post-hoc wagering adjustments. Users must commit to a complete probability distribution over all possible outcomes in advance, preventing them from exploiting knowledge of upcoming events or manipulating the system after seeing patterns. This preliminary commitment ensures reliability while maintaining accurate belief measurement.
3Productivity
If the system processes wagers in real-time for multiple events, then transaction speed increases, but system complexity and computational load increase
Solution Approach 1:
The patent segments the wagering system into independent event modules, where each event is processed separately through its own payoff function evaluation. This segmentation allows parallel processing of multiple events without increasing overall system complexity, as each event's probability distributions and outcomes are evaluated independently. The modular architecture maintains real-time processing capability while managing computational load through division of labor.
Solution Approach 2:
The system implements self-service through automated payoff calculations that occur without human intervention. The payoff function P(o|w) automatically computes expected payoffs based on stored probability distributions and actual outcomes, eliminating manual processing steps. This automation maintains high productivity while reducing the operational complexity of managing multiple simultaneous wagers across events.
Data Source
AI summary
A computer system includes a server computer that handles transactions with user devices to create and manage events, create and manage user accounts and process wagers. Transactions regarding wagers in connection with events can be processed in real-time. The wagers are processed using a payoff function that rewards participation and accurate information, yet does not permit arbitrage or otherwise reward splitting a wager by participating under multiple identities. To compute a payoff, a first score is computed based on the probability estimate by a participant and the outcome. A second score is computed based on an aggregate of wagers of all other participants for each participant, where the first score for the participant is no more than the second score for at least one outcome. The payoff for the participant is then computed as a function of the first score and the second score.