UNLEARNING BY NOT DOING - REPEATED GAMES WITH VANISHING ACTIONS

We examine two-person zero-sum repeated games in which the players' ac tion choices are restricted in the following way. Let r(1), r2 epsilon N, where N also represents the set of stages of the game. If, at any stage tau, player epsilon {1, 2} did not select action i at any of the preceding r(k) stages, then action i will vanish from his set of acti ons and will no longer be available in the remaining play. For several (r(1), r(2))-cases we show the existence of optimal strategies for li miting average optimal play. Journal of Economic Literature Classifica tion Numbers: C72, C73. (C) 1995 Academic Press, Inc.