The Dynamics of the Nash Map for 2 by 2 Games

نویسندگان

  • R. A. BECKER
  • S. K. CHAKRABARTI
چکیده

We describe the dynamics of a better response map from the space of mixed strategy profiles to itself, used by Nash to prove the existence of equilibrium points for finite games. We do it for the case of 2 players and 2 pure strategies. The maps are classified, according to the dynamics, as dominant strategy, elliptic or hyperbolic.

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تاریخ انتشار 2009