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-Consistent equilibrium in repeated games

  • Ehud Lehrer


    (School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel)

  • Sylvain Sorin


    (Laboratoire d'EconomÊtrie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France)

We introduce the concept of -consistent equilibrium where each player plays a -best response after every history reached with positive probability. In particular, an -consistent equilibrium induces an -equilibrium in any subgame reached along the play path. The existence of -consistent equilibrium is examined in various repeated games. The main result is the existence in stochastic games with absorbing states.

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Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 27 (1998)
Issue (Month): 2 ()
Pages: 231-244

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Handle: RePEc:spr:jogath:v:27:y:1998:i:2:p:231-244
Note: Received January 1995/Revised version October 1996/Final version September 1997
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