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Coalitional games: Monotonicity and core

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  • Arin, J.
  • Feltkamp, V.

Abstract

We characterize a monotonic core solution defined on the class of veto balanced games. We also discuss what restricted versions of monotonicity are possible when selecting core allocations. We introduce a family of monotonic core solutions for veto balanced games and we show that, in general, the per capita nucleolus is not monotonic.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 216 (2012)
Issue (Month): 1 ()
Pages: 208-213

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Handle: RePEc:eee:ejores:v:216:y:2012:i:1:p:208-213

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: Monotonicity; Core; TU games; Per capita nucleolus;

References

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  1. Muto, S. & Nakayama, M. & Potters, J.A.M. & Tijs, S.H., 1988. "On big boss games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154246, Tilburg University.
  2. Muto, S. & Potters, J.A.M. & Tijs, S.H., 1989. "Information market games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154244, Tilburg University.
  3. J. Arin & V. Feltkamp, 2005. "Monotonicity properties of the nucleolus on the domain of veto balanced games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 13(2), pages 331-341, December.
  4. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
  5. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
  6. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
  7. Muto, Shigeo & Potters, Jos & Tijs, Stef, 1989. "Information Market Games," International Journal of Game Theory, Springer, vol. 18(2), pages 209-26.
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Cited by:
  1. Feltkamp, Vicent & Arin Aguirre, Francisco Javier & Montero García, María, 2013. "Coalitional games with veto players: Myopic and farsighted behavior," IKERLANAK Ikerlanak;2013-73, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  2. J Arin & V Feltkamp & M Montero, 2012. "Coalitional Games with Veto Players: Myopic and Rational Behavior," Discussion Papers 2012-11, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  3. Kamijo, Yoshio & Kongo, Takumi, 2012. "Whose deletion does not affect your payoff? The difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value," European Journal of Operational Research, Elsevier, vol. 216(3), pages 638-646.
  4. J. Arin, 2013. "Monotonic core solutions: beyond Young’s theorem," International Journal of Game Theory, Springer, vol. 42(2), pages 325-337, May.
  5. Arin Aguirre, Francisco Javier & Katsev, Ilya, 2011. "The SD-prenucleolus for TU games," IKERLANAK 2011-56, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.

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