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The Complexity of Egalitarian Mechanisms for Linear Programming Games

Nelson A. Uhan (uhan***at***usna.edu)

Abstract: We show that the most cost-efficient subset problem for linear programming games is NP-hard, and in fact inapproximable within a constant factor in polynomial time, unless P = NP. This in turn implies that computing the prices output by an egalitarian mechanism and computing a cost allocation in the equal split-off set for linear programming games is NP-hard.

Keywords: cost sharing mechanisms; cooperative games; computational complexity

Category 1: Other Topics (Game Theory )

Category 2: Combinatorial Optimization

Citation: Operations Research Letters 42(1) 76-81, 2014.

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Entry Submitted: 07/18/2011
Entry Accepted: 07/22/2011
Entry Last Modified: 01/02/2014

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