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Bin packing games

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  • Jeroen Kuipers

Abstract

We consider bin packing games introduced by Faigle and Kern (1993) and we restrict ourselves to the subclass of games for which all bins have unit capacity and all items are larger than 1/3. We adopt the taxation model of Faigle and Kern and we prove that for a tax-rate of ɛ=sk 7/1 the ɛ-core is always non empty. The bound is sharp, since for every ɛ > sk 7/1 there exist instances of the bin packing game within our sublass with an empty ɛ-core. Copyright Physica-Verlag 1998

Suggested Citation

  • Jeroen Kuipers, 1998. "Bin packing games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(3), pages 499-510, October.
    • Handle: RePEc:spr:mathme:v:47:y:1998:i:3:p:499-510
    DOI: 10.1007/BF01198407
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    Cited by:

    1. Michel Le Breton & Juan Moreno-Ternero & Alexei Savvateev & Shlomo Weber, 2013. "Stability and fairness in models with a multiple membership," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 673-694, August.

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