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X-WR-CALNAME;VALUE=TEXT:Computing Optimal Equilibria and Mechanisms via Learning in Zero-Sum Extensive-Form Games
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SUMMARY:Computing Optimal Equilibria and Mechanisms via Learning in Zero-Sum Extensive-Form Games
DESCRIPTION:<p>	<strong>Speaker: </strong><span>Brian Zhang (CMU)</span></p><strong>Title: </strong><span>Computing Optimal Equilibria and Mechanisms via Learning in Zero-Sum Extensive-Form Games</span><p>	<strong>Abstract: </strong><span>We introduce a unified framework for understanding <em>optimal equilibria </em>in general games by explicitly augmenting the game with a <em>mediator </em>who can communicate with players. By varying restrictions governing the communication, the framework covers a wide family of solution concepts and problems including---but not limited to---communication equilibria, mechanism and information design, and extensive-form correlated equilibria. We will then demonstrate a reduction from computing optimal equilibria in this framework to solving <em>zero-sum games</em>. This reformulation allows us to apply the vast family of techniques for learning in zero-sum games, yielding the first learning algorithms for optimal equilibria in general games. Within this framework, we show that optimal extensive-form correlated equilibria---which are NP-hard to compute---correspond to the zero-sum game having <em>imperfect recall</em>, and that this imperfect recall is precisely the reason for the hardness of computation. We demonstrate the practical scalability and flexibility of our approach by attaining state-of-the-art performance in benchmark tabular games, and by computing an optimal mechanism for a sequential auction design problem using deep reinforcement learning.</span></p>
LOCATION: SEC 2.122 + 2.123 (second floor). 
STATUS:CONFIRMED
DTSTART:20240304T183000Z
DTEND:20240304T193000Z
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