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On the Counting of Strategies

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Sep 2015 France, Italy, United Kingdom Publisher:IEEEJournal:2015 22nd International Symposium on Temporal Representation and Reasoning (TIME)

Authors: MALVONE, VADIM; Fabio Mogavero; MURANO, ANIELLO; SORRENTINO, LOREDANA;

doi: 10.1109/time.2015.19

handle: 11588/618897

On the Counting of Strategies

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Abstract

In game-theory, a classic qualitative question is to check whether a designed set of the players has a winning strategy. In several safety-critical applications, however, it is important to ensure that some redundant strategies also exist, to be used in case of some fault. By establishing how many different strategies a game admits, one can grade its resilience. In this paper, we introduce and study Graded Strategy Logic (GSL), an extension of Strategy Logic (SL) along with graded quantifiers. SL is a powerful formalism that allows to describe useful game concepts in multi-agent settings by explicitly quantifying over strategies treated as first-order citizens. In GSL, by means of the existential construct(x =g) f, one can state that at least g strategies satisfy f. Dually, via the universal construct [x

Countries

France, Italy, United Kingdom

Related Organizations

Keywords

[INFO.INFO-AI] Computer Science [cs]/Artificial Intelligence [cs.AI], game theory, [INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], graded logic, Multiagent systems, Strategy Logic, [INFO.INFO-GT] Computer Science [cs]/Computer Science and Game Theory [cs.GT], [INFO.INFO-MA] Computer Science [cs]/Multiagent Systems [cs.MA], Strategy Logic, Multiagent systems, strategic reasoning, formal verification, game theory, graded logic, formal verification, strategic reasoning

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	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%