Half-Positional Determinacy of Infinite Games

  • Eryk Kopczyński
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4052)


We study infinite games where one of the players always has a positional (memory-less) winning strategy, while the other player may use a history-dependent strategy. We investigate winning conditions which guarantee such a property for all arenas, or all finite arenas. We establish some closure properties of such conditions, and discover some common reasons behind several known and new positional determinacy results. We exhibit several new classes of winning conditions having this property: the class of concave conditions (for finite arenas) and the classes of monotonic conditions and geometrical conditions (for all arenas).


Geometrical Condition Closure Property Countable Union Monotonic Condition Tree Automaton 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Eryk Kopczyński
    • 1
  1. 1.Institute of InformaticsWarsaw University 

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