AAAI Publications, Workshops at the Twenty-Fourth AAAI Conference on Artificial Intelligence

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Maximum Causal Entropy Correlated Equilibria for Markov Games
Brian D. Ziebart, Drew Bagnell, Anind K. Dey

Last modified: 2010-07-07


In this work, we present maximum causal entropy correlated equilibria, a new solution concept that we apply to Markov games. This contribution extends the existing solution concept of maximum entropy correlated equilibria for normal-form games to settings with elements of dynamic interaction with a stochastic environment by employing the recently developed principle of maximum causal entropy. This solution concept is justified for two purposes: as a mechanism for prescribing actions, it reveals the least additional information about the agents' motives possible; and as a predictive estimator of actions for a group of agents assumed to behave according to an unknown correlated equilibrium, it has the fewest additional assumptions and minimizes worst-case action prediction log-loss. Importantly, equilibria for this solution concept are guaranteed to be unique and Markovian, enabling efficient algorithms for finding them.


game theory;correlated equilibria;maximum causal entropy

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