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Cooperative Boolean games
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International Conference on Autonomous Agents archive
Proceedings of the 7th international joint conference on Autonomous agents and multiagent systems - Volume 2 table of contents
Estoril, Portugal
SESSION: Economic paradigms table of contents
Pages 1015-1022  
Year of Publication: 2008
ISBN:978-0-9817381-1-6
Authors
Paul E. Dunne  University of Liverpool, Liverpool, UK
Wiebe van der Hoek  University of Liverpool, Liverpool, UK
Sarit Kraus  Bar-Ilan University, Ramat Gan, Israel
Michael Wooldridge  Bar-Ilan University, Ramat Gan, Israel
Sponsors
AAAI : Association for the Advancement of Artifical Intelligence
ACM: Association for Computing Machinery
Publisher
Bibliometrics
Downloads (6 Weeks): 4,   Downloads (12 Months): 43,   Citation Count: 1
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ABSTRACT

We present and formally investigate Cooperative Boolean Games, a new, natural family of coalitional games that are both compact and expressive. In such a game, an agent's primary aim is to achieve its individual goal, which is represented as a propositional logic formula over some set of Boolean variables. Each agent is assumed to exercise unique control over some subset of the overall set of Boolean variables, and the set of valuations for these variables corresponds to the set of actions the agent can take. However, the actions available to an agent are assumed to have some cost, and an agent's secondary aim is to minimise its costs. Typically, an agent must cooperate with others because it does not have sufficient control to ensure its goal is satisfied. However, the desire to minimise costs leads to preferences over possible coalitions, and hence to strategic behaviour. Following an introduction to the formal framework of Cooperative Boolean Games, we investigate solution concepts of the core and stable sets for them. In each case, we characterise the complexity of the associated solution concept, and discuss the surrounding issues. Finally, we present a bargaining protocol for cooperation in Boolean games, and characterise the strategies in equilibrium for this protocol.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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E. Bonzon. Modélisation des interactions entre agents rationnels: les jeux booléens. PhD thesis, Université Paul Sabatier, Toulouse, 2007.
 
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E. Bonzon, M. Lagasquie, J. Lang, and B. Zanuttini. Boolean games revisited. In Proceedings of the Seventeenth European Conference on Artificial Intelligence (ECAI-2006), Riva del Garda, Italy, 2006.
 
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J. Neumann and O. Morgenstern. Theory of Games and Economic Behaviour. Princeton University Press: Princeton, NJ, 1944.
 
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M. J. Osborne and A. Rubinstein. A Course in Game Theory. The MIT Press: Cambridge, MA, 1994.
 
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Collaborative Colleagues:
Paul E. Dunne: colleagues
Wiebe van der Hoek: colleagues
Sarit Kraus: colleagues
Michael Wooldridge: colleagues