The complexity of partial-observation parity games

  • Authors:
  • Krishnendu Chatterjee;Laurent Doyen

  • Affiliations:
  • Institute of Science and Technology Austria;LSV, ENS Cachan & CNRS, France

  • Venue:
  • LPAR'10 Proceedings of the 17th international conference on Logic for programming, artificial intelligence, and reasoning
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

We consider two-player zero-sum games on graphs. On the basis of the information available to the players these games can be classified as follows: (a) partial-observation (both players have partial view of the game); (b) one-sided partial-observation (one player has partial-observation and the other player has complete-observation); and (c) complete-observation (both players have complete view of the game). We survey the complexity results for the problem of deciding the winner in various classes of partial-observation games with ω-regular winning conditions specified as parity objectives. We present a reduction from the class of parity objectives that depend on sequence of states of the game to the sub-class of parity objectives that only depend on the sequence of observations. We also establish that partial-observation acyclic games are PSPACE-complete.