Logics for reasoning about strategic abilities in multi-player games
2015 (English)In: Models of strategic reasoning: logics, games and communities / [ed] Johan van Benthem, Sujata Ghosh, Rineke Verbrugge, Berlin: Springer, 2015, 93-136 p.Chapter in book (Refereed)
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 ATL∗ and its fragment ATL. We discuss variations of the language and semantics of 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 ATL.
Place, publisher, year, edition, pages
Berlin: Springer, 2015. 93-136 p.
, FoLLI Publications on Logic, Language and Information, ISSN 0302-9743 ; 8972
Logic, strategic abilities, multi-player games
Algebra and Logic
Research subject Mathematical Logic; Computer Science; Theoretical Philosophy
IdentifiersURN: urn:nbn:se:su:diva-123449DOI: 10.1007/978-3-662-48540-8_4ISBN: 978-3-662-48540-8OAI: oai:DiVA.org:su-123449DiVA: diva2:894207