Repeated games with bonuses

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

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
Volume136
DOIs
Publication statusPublished - 1 Jan 2008

Cite this