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About this paper

Han Zhong, Zhuoran Yang, Zhaoran Wang, Michael I. Jordan

The authors develop two reinforcement-learning methods to find Stackelberg–Nash equilibria in sequential games with myopic followers and unknown linear transitions. They estimate the leader’s long-term value while modeling followers’ immediate Nash responses, using optimism online and pessimism offline. Online cumulative regret is bounded by tilde O(H²d³ᐟ²√K); offline rates require coverage of the target equilibrium trajectory, and multiple-follower games require a computational oracle.

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