The Subset Sum game

Andreas Darmann, Gaia Nicosia, Ulrich Pferschy and Joachim Schauer

European Journal of Operational Research, 2014, vol. 233, issue 3, 539-549

Abstract: In this work we address a game theoretic variant of the Subset Sum problem, in which two decision makers (agents/players) compete for the usage of a common resource represented by a knapsack capacity. Each agent owns a set of integer weighted items and wants to maximize the total weight of its own items included in the knapsack. The solution is built as follows: Each agent, in turn, selects one of its items (not previously selected) and includes it in the knapsack if there is enough capacity. The process ends when the remaining capacity is too small for including any item left.

Keywords: Subset Sum problem; Multi-agent optimization; Performance analysis; Game theory (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:233:y:2014:i:3:p:539-549

DOI: 10.1016/j.ejor.2013.08.047

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