Computing equilibria in two-player timed games via turn-based finite games

  • Authors:
  • Patricia Bouyer;Romain Brenguier;Nicolas Markey

  • Affiliations:
  • LSV, CNRS & ENS Cachan, France;LSV, CNRS & ENS Cachan, France;LSV, CNRS & ENS Cachan, France

  • Venue:
  • FORMATS'10 Proceedings of the 8th international conference on Formal modeling and analysis of timed systems
  • Year:
  • 2010

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Abstract

We study two-player timed games where the objectives of the two players are not opposite. We focus on the standard notion of Nash equilibrium and propose a series of transformations that builds two finite turn-based games out of a timed game, with a precise correspondence between Nash equilibria in the original and in final games. This provides us with an algorithm to compute Nash equilibria in two-player timed games for large classes of properties.