Iterated Boolean games

Iterated games are well-known in the game theory literature. We study iterated Boolean games. These are games in which players repeatedly choose truth values for Boolean variables they have control over. Our model of iterated Boolean games assumes that players have goals given by formulae of Linear...

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Asıl Yazarlar: Gutierrez, J, Harrenstein, P, Wooldridge, M
Materyal Türü: Conference item
Baskı/Yayın Bilgisi: AAAI Press / International Joint Conferences on Artificial Intelligence 2013
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author Gutierrez, J
Harrenstein, P
Wooldridge, M
author_facet Gutierrez, J
Harrenstein, P
Wooldridge, M
author_sort Gutierrez, J
collection OXFORD
description Iterated games are well-known in the game theory literature. We study iterated Boolean games. These are games in which players repeatedly choose truth values for Boolean variables they have control over. Our model of iterated Boolean games assumes that players have goals given by formulae of Linear Temporal Logic (LTL), a formalism for expressing properties of state sequences. In order to model the strategies that players use in such games, we use a finite state machine model. After introducing and formally defining iterated Boolean games, we investigate the computational complexity of their associated game-theoretic decision problems as well as semantic conditions characterising classes of LTL properties that are preserved by pure strategy Nash equilibria whenever they exist.
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spelling oxford-uuid:d791b0f7-55c5-4d40-a1b8-419fd5a3536f2022-03-27T08:42:05ZIterated Boolean gamesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:d791b0f7-55c5-4d40-a1b8-419fd5a3536fSymplectic Elements at OxfordAAAI Press / International Joint Conferences on Artificial Intelligence2013Gutierrez, JHarrenstein, PWooldridge, MIterated games are well-known in the game theory literature. We study iterated Boolean games. These are games in which players repeatedly choose truth values for Boolean variables they have control over. Our model of iterated Boolean games assumes that players have goals given by formulae of Linear Temporal Logic (LTL), a formalism for expressing properties of state sequences. In order to model the strategies that players use in such games, we use a finite state machine model. After introducing and formally defining iterated Boolean games, we investigate the computational complexity of their associated game-theoretic decision problems as well as semantic conditions characterising classes of LTL properties that are preserved by pure strategy Nash equilibria whenever they exist.
spellingShingle Gutierrez, J
Harrenstein, P
Wooldridge, M
Iterated Boolean games
title Iterated Boolean games
title_full Iterated Boolean games
title_fullStr Iterated Boolean games
title_full_unstemmed Iterated Boolean games
title_short Iterated Boolean games
title_sort iterated boolean games
work_keys_str_mv AT gutierrezj iteratedbooleangames
AT harrensteinp iteratedbooleangames
AT wooldridgem iteratedbooleangames