Strategic planning for probabilistic games with incomplete information

  • Authors:
  • Henning Schnoor

  • Affiliations:
  • Christian-Albrechts-Universität Kiel, Kiel, Germany

  • Venue:
  • Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
  • Year:
  • 2010

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Abstract

Alternating-time Temporal Logic (ATL) [1] is used to reason about strategic abilities of agents. Aiming at strategies that can realistically be implemented in software, many variants of ATL study a setting where strategies may only take available information into account [7]. Another generalization of ATL is Probabilistic ATL [4], where strategies achieve their goal with a certain probability. We introduce a semantics of ATL that takes into account both of these aspects. We prove that our semantics allows simulation relations similar in spirit to usual bisimulations, and has a decidable model checking problem in the case of memoryless strategies (for memory-dependent strategies the problem is undecidable).