The maxmin value of repeated games with incomplete information on one side and tail-measurable payoffs
研究了单边不完全信息下、收益函数为尾部可测的两人零和重复博弈,证明了极大极小值等于非揭示博弈值函数的凹化,并举例说明此时博弈值可能不存在。
We study two-player zero-sum repeated games with incomplete information on one side, where the payoff function is tail measurable (and not necessarily the long-run average payoff). We show that the maxmin value equals the concavification of the value function of the non-revealing game. In addition, we provide an example demonstrating that, under tail-measurable payoffs, the value of the game may fail to exist.