Nash equilibria for reachability objectives in multi-player timed games

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

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

  • Venue:
  • CONCUR'10 Proceedings of the 21st international conference on Concurrency theory
  • Year:
  • 2010

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Abstract

We propose a procedure for computing Nash equilibria in multi-player timed games with reachability objectives. Our procedure is based on the construction of a finite concurrent game, and on a generic characterization of Nash equilibria in (possibly infinite) concurrent games. Along the way, we use our characterization to compute Nash equilibria in finite concurrent games.