Is Learning Effective in Dynamic Strategic Interactions? Evidence from Stackelberg Games
A Google TechTalk, presented by Michael Albert, 2025-04-08
Google Algorithms Seminar - ABSTRACT: In many settings of interest, a policy is set by one party, the leader, in order to influence the action of another party, the follower, where the follower's response is determined by some private information. A natural question to ask is, can the leader improve their strategy by learning about the unknown follower through repeated interactions? A well known folk theorem from dynamic pricing, a special case of this leader-follower setting, would suggest that the leader cannot learn effectively from the follower when the follower is fully strategic, leading to a large literature on learning in strategic settings that relies on limiting the strategic space of the follower in order to provide positive results. In this paper, we study dynamic Bayesian Stackelberg games, where a leader and a fully strategic follower interact repeatedly, with the follower's type unknown. Contrary to existing results, we show that the leader can improve their utility through learning in repeated play. Using a novel average-case analysis, we demonstrate that learning is effective in these settings, without needing to weaken the follower's strategic space. Importantly, this improvement is not solely due to the leader's ability to commit, nor does learning simply substitute for communication between the parties. We provide an algorithm, based on a mixed-integer linear program, to compute the optimal leader policy in these games and develop heuristic algorithms to approximate the optimal dynamic policy more efficiently. Through simulations, we compare the efficiency and runtime of these algorithms against static policies.
ABOUT THE SPEAKER: Michael Albert is an assistant professor in the Data Analytics and Decision Sciences area at the University of Virginia Darden School of Business. His research focuses on combining machine learning and algorithmic techniques to automate the design of markets. His work has appeared in leading artificial intelligence and machine learning venues such as the Association for the Advancement of Artificial Intelligence (AAAI) and the International Joint Conference on Artificial Intelligence (IJCAI) as well as leading operations research and business journals such as Operations Research (OR).
Prior to joining Darden in 2018, Albert received his Ph.D. in financial economics at Duke University’s Fuqua School of Business. He has also worked as a visiting assistant professor of finance at the Ohio State University, as a postdoctoral researcher at the Learning Agents Research Group at the University of Texas at Austin under Peter Stone, and as a postdoctoral researcher in the artificial intelligence group headed by Vincent Conitzer at Duke University.
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