Abstract.
We introduce the concept of ɛ-consistent equilibrium where each player plays a ɛ-best response after every history reached with positive probability. In particular, an ɛ-consistent equilibrium induces an ɛ-equilibrium in any subgame reached along the play path. The existence of ɛ-consistent equilibrium is examined in various repeated games. The main result is the existence in stochastic games with absorbing states.
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Received January 1995/Revised version October 1996/Final version September 1997
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Lehrer, E., Sorin, S. ɛ-Consistent equilibrium in repeated games. Game Theory 27, 231–244 (1998). https://doi.org/10.1007/s001820050069
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DOI: https://doi.org/10.1007/s001820050069