Universally Balanced Combinatorial Optimization Games

Gabrielle Demange and Xiaotie Deng
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Xiaotie Deng: Department of Computer Science, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

Games, 2010, vol. 1, issue 3, 1-18

Abstract: This article surveys studies on universally balanced properties of cooperative games defined in a succinct form. In particular, we focus on combinatorial optimization games in which the values to coalitions are defined through linear optimization programs, possibly combinatorial, that is subject to integer constraints. In economic settings, the integer requirement reflects some forms of indivisibility. We are interested in the classes of games that guarantee a non-empty core no matter what are the admissible values assigned to the parameters defining these programs. We call such classes universally balanced. We present characterization and complexity results on the universally balancedness property for some classes of interesting combinatorial optimization games. In particular, we focus on the algorithmic properties for identifying universally balancedness for the games under discussion.

Keywords: combinatorial cooperative games; balanced; blocking; core; integrality (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2010
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Related works:
Working Paper: Universally Balanced Combinatorial Optimization Games (2010)
Working Paper: Universally Balanced Combinatorial Optimization Games (2010)
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