🤖 AI Summary
This work addresses the inefficiency arising from self-interested behavior in shared economies and the fairness concerns inherent in conventional monetary mechanisms due to wealth inequality. To reconcile efficiency with equity while preserving user autonomy, the paper proposes a token-based mechanism grounded in integer pricing. The authors innovatively model the token economy as a continuous-time dynamic game, leveraging mean-field approximation and evolutionary dynamics of boundedly rational agents to achieve a strong approximation of finite-population interactions and enable closed-form control. Theoretically, the mechanism guarantees convergence—regardless of initial conditions—to an allocation that simultaneously optimizes system efficiency and fairness.
📝 Abstract
Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This issue can be addressed by designing rules that align individual preferences with system-level objectives. Unfortunately, rules based on conventional monetary mechanisms introduce unfairness by discriminating among users based on their wealth. To solve this problem, in this paper, we propose a token-based mechanism for congestion games that achieves efficient and fair dynamic resource allocation. Specifically, we model the token economy as a continuous-time dynamic game with finitely many boundedly rational agents, explicitly capturing their evolutionary policy-revision dynamics. We derive a mean-field approximation of the finite-population game and establish strong approximation guarantees between the mean-field and the finite-population games. This approximation enables the design of integer tolls in closed form that provably steer the aggregate dynamics toward an optimal efficient and fair allocation from any initial condition.