Publication

Strategy logic

2010
Conference Papers

Abstract

We introduce strategy logic, a logic that treats strategies in two-player games as explicit first-order objects. The explicit treatment of strategies allows us to specify properties of nonzero-sum games in a simple and natural way. We show that the one-alternation fragment of strategy logic is strong enough to express the existence of Nash equilibria and secure equilibria, and subsumes other logics that were introduced to reason about games, such as ATL, ATL*, and game logic. We show that strategy logic is decidable, by constructing tree automata that recognize sets of strategies. While for the general logic, our decision procedure is nonelementary, for the simple fragment that is used above we show that the complexity is polynomial in the size of the game graph and optimal in the size of the formula (ranging from polynomial to 2EXPTIME depending on the form of the formula). (C) 2010 Elsevier Inc. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/9ed7d60d-521c-4f80-b2f0-0169194ca8f8

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2010
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/9ed7d60d-521c-4f80-b2f0-0169194ca8f8

About this result

Related concepts (32)

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Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or logical truths. It studies how conclusions follow from premises due to the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. It examines arguments expressed in natural language while formal logic uses formal language.

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