Strategy Composition in Compositional Games

  • Marcus Gelderie
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7966)

Abstract

When studying games played on finite arenas, the arena is given explicitly, hiding the underlying structure of the arena. We study games where the global arena is a product of several smaller, constituent arenas. We investigate how these “global games” can be solved by playing “component games” on the constituent arenas. To this end, we introduce two kinds of products of arenas. Moreover, we define a suitable notion of strategy composition and show how, for the first notion of product, winning strategies in reachability games can be composed from winning strategies in games on the constituent arenas. For the second kind of product, the complexity of solving the global game shows that a general composition theorem is equivalent to proving Pspace = Exptime.

Keywords

Arena Rovan 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Marcus Gelderie
    • 1
  1. 1.Logic and Theory of Discrete SystemsRWTH AachenAachenGermany

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