Equilibria in quantitative reachability games

  • Authors:
  • Thomas Brihaye;Véronique Bruyère;Julie De Pril

  • Affiliations:
  • University of Mons - UMONS, Mons, Belgium;University of Mons - UMONS, Mons, Belgium;University of Mons - UMONS, Mons, Belgium

  • Venue:
  • CSR'10 Proceedings of the 5th international conference on Computer Science: theory and Applications
  • Year:
  • 2010

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Abstract

In this paper, we study turn-based quantitative multiplayer non zero-sum games played on finite graphs with reachability objectives. In this framework each player aims at reaching his own goal as soon as possible. We prove existence of finite-memory Nash (resp. secure) equilibria in multiplayer (resp. two-player) games.