Repeated Games, Duality and the Central Limit Theorem

This paper is concerned with the repeated zero-sum games with one-sided information and standard signaling. We introduce here dual games that allow us to analyze the “Markovian” behavior of the uninformed player, and to explicitly compute his optimal strategies. We then apply our results on the dual games to explain the appearance of the normal density in the n^−1/2-term of the asymptotic expansion of v_n as a consequence of the Central Limit Theorem.