Relaxing Exclusive Control in Boolean Games

Belardinelli, Francesco, Grandi, Umberto, Herzig, Andreas, Longin, Dominique, Lorini, Emiliano, Novaro, Arianna and Perrussel, Laurent (2017) Relaxing Exclusive Control in Boolean Games. In: 16th Conference on Theoretical Aspects of Rationality and Knowledge (TARK 2017).

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Abstract

In the typical framework for boolean games (BG) each player can change the truth value of some propositional atoms, while attempting to make her goal true. In standard BG goals are propositional formulas, whereas in iterated BG goals are formulas of Linear Temporal Logic. Both notions of BG are characterised by the fact that agents have exclusive control over their set of atoms, meaning that no two agents can control the same atom. In the present contribution we drop the exclusivity assumption and explore structures where an atom can be controlled by multiple agents. We introduce Concurrent Game Structures with Shared Propositional Control (CGS-SPC) and show that they account for several classes of repeated games, including iterated boolean games, influence games, and aggregation games. Our main result shows that, as far as verification is concerned, CGS-SPC can be reduced to concurrent game structures with exclusive control. This result provides a polynomial reduction for the model checking problem of specifications in Alternating-time Temporal Logic on CGS-SPC.

Item Type: Conference or Workshop Item (Paper)
Language: English
Date: 2017
Uncontrolled Keywords: Knowledge representation - Iterated games - Alternating-time temporal logic - Propositional control - Reasoning about strategies
Subjects: H- INFORMATIQUE
Divisions: Institut de Recherche en Informatique de Toulouse
Site: UT1
Date Deposited: 14 Mar 2019 13:40
Last Modified: 14 Mar 2019 13:40
URI: http://publications.ut-capitole.fr/id/eprint/28595

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