Models of Strategic Reasoning pp 93-136

Part of the Lecture Notes in Computer Science book series (LNCS, volume 8972) | Cite as

Logics for Reasoning About Strategic Abilities in Multi-player Games

Chapter

Abstract

We introduce and discuss basic concepts, ideas, and logical formalisms used for reasoning about strategic abilities in multi-player games. In particular, we present concurrent game models and the alternating time temporal logic \(\mathsf {ATL}^{*}\) and its fragment \(\mathsf {ATL}\). We discuss variations of the language and semantics of \(\mathsf {ATL}^{*}\) that take into account the limitations and complications arising from incomplete information, perfect or imperfect memory of players, reasoning within dynamically changing strategy contexts, or using stronger, constructive concepts of strategy. Finally, we briefly summarize some technical results regarding decision problems for some variants of \(\mathsf {ATL}\).

Keywords

Logics Game theory Strategic reasoning Strategic logic Multi-agent systems Automated reasoning 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Nils Bulling
    • 1
  • Valentin Goranko
    • 2
    • 3
  • Wojciech Jamroga
    • 4
    • 5
  1. 1.Department of Intelligent SystemsTU DelftDelftThe Netherlands
  2. 2.Department of PhilosophyStockholm UniversityStockholmSweden
  3. 3.Department of MathematicsUniversity of JohannesburgJohannesburgSouth Africa
  4. 4.Institute of Computer Science, Polish Academy of SciencesWarszawaPoland
  5. 5.Computer Science and Communication Research Unit and Interdisc. Centre on Security, Reliability and TrustUniversity of LuxembourgLuxembourg CityLuxembourg

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