Repeated games with bonuses

G. Schoenmakers*, J. Flesch, F. Thuijsman, K. Vrieze

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


This paper deals with 2-player zero-sum repeated games in which player 1 receives a bonus at stage t if he repeats the action he played at stage t-1. We investigate the optimality of simple strategies for player 1. A simple strategy for player 1 consists of playing the same mixed action at every stage, irrespective of past play. Furthermore, for games in which player 1 has a simple optimal strategy, we characterize the set of stationary optimal strategies for player 2.
Original languageEnglish
Pages (from-to)459-473
Number of pages15
JournalJournal of Optimization Theory and Applications
Publication statusPublished - 1 Jan 2008

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