A stit-Logic for Extensive Form Group Strategies

  • Authors:
  • Jan Broersen

  • Affiliations:
  • -

  • Venue:
  • WI-IAT '09 Proceedings of the 2009 IEEE/WIC/ACM International Joint Conference on Web Intelligence and Intelligent Agent Technology - Volume 03
  • Year:
  • 2009

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Abstract

We present the logic $\textsf{G.STRAT}$ for reasoning about group strategies. To enable a modal semantics for reasoning about group strategies, strategy profiles will be viewed as structured possible worlds. Although the general logic is undecidable and not finitely axiomatizable for systems with 3 agents or more, we identify more well-behaved logics like $\textsf{ATL}$, and temporal \emph{stit}-logics as fragments. We explain our aim to apply the logics to reasoning about multi-agent programs, such as the programs of 2APL. Finally, we discuss several properties of (multi-)agency expressible in the logic. Among these properties is an axiom characterizing a basic form of autonomy.