A dual description of the class of games with a population monotonic allocation scheme
AbstractA 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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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 41 (2002)
Issue (Month): 2 (November)
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Web page: http://www.elsevier.com/locate/inca/622836
Other versions of this item:
- Norde, H.W. & Reijnierse, J.H., 2000. "A Dual Description of the Class of Games with a Population Monotonic Allocation Scheme," Discussion Paper 2000-99, Tilburg University, Center for Economic Research.
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.:
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"The Monoclus of a Coalitional Game,"
2008-6, Tilburg University, Center for Economic Research.
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- 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.
- Barış Çiftçi & Peter Borm & Herbert Hamers, 2010.
"Population monotonic path schemes for simple games,"
Theory and Decision,
Springer, vol. 69(2), pages 205-218, August.
- Ciftci, B.B. & Borm, P.E.M. & Hamers, H.J.M., 2006. "Population Monotonic Path Schemes for Simple Games," Discussion Paper 2006-113, Tilburg University, Center for Economic Research.
- 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.
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