Infinite coordination games

  • Authors:
  • Dietmar Berwanger

  • Affiliations:
  • Laboratoire Spécification et Vérification, Centre National de la Recherche Scientifique & École Normale Supérieure de Cachan, Cachan, France

  • Venue:
  • LOFT'08 Proceedings of the 8th international conference on Logic and the foundations of game and decision theory
  • Year:
  • 2008

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Abstract

We investigate the prescriptive power of sequential iterated admissibility in coordination games of the Gale-Stewart style, i.e., perfect-information games of infinite duration with only two payoffs. We show that, on this kind of games, the procedure of eliminating weakly dominated strategies is independent of the elimination order and that, under maximal simultaneous elimination, the procedure converges after at most ω many stages.