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A dual description of the class of games with a population monotonic allocation scheme

  • Norde, Henk
  • Reijnierse, Hans

A vector of balanced weights infers an inequality that games with a nonempty core obey.This paper gives a generalization of the notion `vector of balanced weights'.Herewith it provides necessary and sufficient conditions to determine whether a TU-game has a population monotonic allocation scheme or not. Furthermore it shows that every 4-person integer valued game with a population monotonic allocation scheme has an integer valued population monotonic allocation scheme and it gives an example of a 7-person integer valued game that has only non-integer valued population monotonic allocation schemes.

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File URL: http://www.sciencedirect.com/science/article/B6WFW-473M7T3-6/2/129a80c88c7fec05252f7985f27c53d1
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 41 (2002)
Issue (Month): 2 (November)
Pages: 322-343

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Handle: RePEc:eee:gamebe:v:41:y:2002:i:2:p:322-343
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
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