Best Response Dynamics for Continuous Zero–sum Games

نویسندگان

  • Josef Hofbauer
  • Sylvain Sorin
  • JOSEF HOFBAUER
  • SYLVAIN SORIN
چکیده

We study best response dynamics in continuous time for continuous concave-convex zero-sum games and prove convergence of its trajectories to the set of saddle points, thus providing a dynamical proof of the minmax theorem. Consequences for the corresponding discrete time process with small or diminishing step-sizes are established, including convergence of the fictitious play procedure.

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تاریخ انتشار 2005