Alternating-time temporal logic
Journal of the ACM (JACM)
Extensive Games as Process Models
Journal of Logic, Language and Information
Coalition games and alternating temporal logics
TARK '01 Proceedings of the 8th conference on Theoretical aspects of rationality and knowledge
Alternating-time temporal logics with irrevocable strategies
TARK '07 Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge
A normal simulation of coalition logic and an epistemic extension
TARK '07 Proceedings of the 11th conference on Theoretical aspects of rationality and knowledge
A Dynamic Logic of Agency II: Deterministic $${\mathcal{DLA}}$$ , Coalition Logic, and Game Theory
Journal of Logic, Language and Information
Strategic games and truly playable effectivity functions
The 10th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
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In this paper we point out that standard PDL-like logics with intersection are useful for reasoning about game structures. In particular, they can express coalitional ability operators known from coalition logic and ATL. An advantage of standard, normal, modal logics is a well understood theoretical foundation and the availability of tools for automated verification and reasoning. We study a minimal variant, multi-modal K with intersection of modalities, interpreted over models corresponding to game structures. There is a restriction: we consider only game structures that are injective. We give a complete axiomatisation of the corresponding models, as well as a characterisation of key complexity problems. We also prove a representation theorem identifying the effectivity functions corresponding to injective games.