Measuring Permissivity in Finite Games

  • Authors:
  • Patricia Bouyer;Marie Duflot;Nicolas Markey;Gabriel Renault

  • Affiliations:
  • LSV, CNRS & ENS Cachan, France;LACL, Université Paris 12, France;LSV, CNRS & ENS Cachan, France;Département Informatique, ENS Lyon, France

  • Venue:
  • CONCUR 2009 Proceedings of the 20th International Conference on Concurrency Theory
  • Year:
  • 2009

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Abstract

In this paper, we extend the classical notion of strategies in turn-based finite games by allowing several moves to be selected. We define and study a quantitative measure for permissivity of such strategies by assigning penalties when blocking transitions. We prove that for reachability objectives, most permissive strategies exist, can be chosen memoryless, and can be computed in polynomial time, while it is in NP *** coNP for discounted and mean penalties.