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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.

Suggested Citation

  • Arin, J. & Feltkamp, V., 2012. "Coalitional games: Monotonicity and core," European Journal of Operational Research, Elsevier, vol. 216(1), pages 208-213.
    • Handle: RePEc:eee:ejores:v:216:y:2012:i:1:p:208-213
    DOI: 10.1016/j.ejor.2011.07.025
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    Cited by:

    1. Arin Aguirre, Francisco Javier & Katsev, Ilya, 2011. "The SD-prenucleolus for TU games," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    2. J. Arin, 2013. "Monotonic core solutions: beyond Young’s theorem," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 325-337, May.
    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. Pedro Calleja & Francesc Llerena, 2017. "Rationality, aggregate monotonicity and consistency in cooperative games: some (im)possibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 197-220, January.
    5. 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.
    6. Katsev, Ilya & Arin Aguirre, Francisco Javier, 2011. "The SD-prenucleolus for TU games," IKERLANAK 2011-56, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    7. Arin Aguirre, Francisco Javier & Feltkamp, Vicent & Montero García, María, 2013. "Coalitional games with veto players: Myopic and farsighted behavior," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    8. J. Arin & V. Feltkamp & M. Montero, 2015. "A bargaining procedure leading to the serial rule in games with veto players," Annals of Operations Research, Springer, vol. 229(1), pages 41-66, June.
    9. J. Arin & I. Katsev, 2014. "The SD-prenucleolus for TU games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(3), pages 307-327, December.

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