Optimizing winning strategies in regular infinite games

  • Authors:
  • Wolfgang Thomas

  • Affiliations:
  • RWTH Aachen, Lehrstuhl Informatik, Aachen, Germany

  • Venue:
  • SOFSEM'08 Proceedings of the 34th conference on Current trends in theory and practice of computer science
  • Year:
  • 2008

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Abstract

We consider infinite two-player games played on finite graphs where the winning condition (say for the first player) is given by a regular omega-language. We address issues of optimization in the construction of winning strategies in such games. Two criteria for optimization are discussed: memory size of finite automata that execute winning strategies, and - for games with liveness requests as winning conditions - "waiting times" for the satisfaction of requests. (For the first aspect we report on work of Holtmann and Löding, for the second on work of Horn, Wallmeier, and the author.)