Strategic Entropy and Complexity in Repeated Games

Abstract We introduce the entropy-based measure of uncertainty for mixed strategies of repeated games—strategic entropy. We investigate the asymptotic behavior of the maxmin values of repeated two-person zero-sum games with a bound on the strategic entropy of player 1's strategies while player 2 is unrestricted, as the bound grows to infinity. We apply the results thus obtained to study the asymptotic behavior of the value of the repeated games with finite automata and bounded recall. Journal of Economic Literature Classification Numbers: C73, C72.

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