Unlearning by not doing: Repeated games with vanishing actions

Reinoud Joosten*, Hans Peters, Frank Thuijsman

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


We examine two-person zero-sum repeated games in which the players' action 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 actions 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 limiting average optimal play. Journal of Economic Literature Classification Numbers: C72, C73.
Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalGames and Economic Behavior
Issue number1
Publication statusPublished - Apr 1995


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