A Survey of Quantum Algorithmic Game Theory and Mechanism Design
Northeus (University)
Abstract
Quantum information processing changes the representation of strategies, the struc- ture of correlations, and the communication models available in games and mecha- nisms. As a result, it provides a new perspective on several classical problems in algorithmic game theory and mechanism design. This survey reviews recent progress on three related topics: the complexity of equilibrium computation in quantum strat- egy spaces, algorithms and learning dynamics in zero-sum quantum games, and the quantum communication complexity of auctions and data trading problems. For the game-theoretic part, we discuss how quantum resources affect equilibrium concepts, computational complexity, and algorithm design. For the mechanism-design part, we review recent results showing how quantum communication can alter implementa- tion costs while introducing new constraints on payments, interaction, and incentives. Based on these developments, we summarize how quantum resources reshape compu- tational, learning, and implementation complexity in strategic settings, and conclude with a discussion of several open problems.