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

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Author Info
Norde, H.
Reijnierse, H. (Tilburg University, Center for Economic Research)

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Abstract

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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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 99.

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Date of creation: 2000
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Handle: RePEc:dgr:kubcen:200099

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Web page: http://center.uvt.nl

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References listed on IDEAS
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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. [Downloadable!] (restricted)
  2. Moulin, H, 1990. "Cores and Large Cores When Population Varies," International Journal of Game Theory, Springer, vol. 19(2), pages 219-32.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Slikker, M. & Norde, H.W., 2008. "The Monoclus of a Coalitional Game," Discussion Paper 2008-06, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Jesus Fco. Getan Olivan & Jesus Montes & Carlos Rafels Pallarola, 2006. "On the monotonic core," Working Papers in Economics 155, Universitat de Barcelona. Espai de Recerca en Economia. [Downloadable!]
  3. Jesus Getan & Jesus Montes, 2008. "A characterization of cooperative TU-games with large monotonic core," Working Papers in Economics 193, Universitat de Barcelona. Espai de Recerca en Economia. [Downloadable!]
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This page was last updated on 2008-8-25.


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