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The SD-prenucleolus for TU games

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  • J. Arin
  • I. Katsev

Abstract

We introduce and characterize a new solution concept for TU games: The Surplus Distributor Prenucleolus. The new solution is a lexicographic value although it is not a weighted prenucleolus. The SD-prenucleolus satisfies core stability, strong aggregate monotonicity, null player out property in the class of balanced games and coalitional monotonicity in the class of monotonic games with veto players. We characterize the solution in terms of balanced collections of sets and we provide a simple formula for computing it in the class of monotonic games with veto players. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • 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.
    • Handle: RePEc:spr:mathme:v:80:y:2014:i:3:p:307-327
    DOI: 10.1007/s00186-014-0482-9
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    References listed on IDEAS

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    1. Arin, J. & Feltkamp, V., 2012. "Coalitional games: Monotonicity and core," European Journal of Operational Research, Elsevier, vol. 216(1), pages 208-213.
    2. Kleppe, J., 2010. "Modelling interactive behaviour, and solution concepts," Other publications TiSEM b9b96884-5761-48f0-9ee4-4, Tilburg University, School of Economics and Management.
    3. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    1. Arin Aguirre, Francisco Javier & Katsev, Ilya, 2016. "The SD-prekernel for TU games," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    2. Calleja, Pere & Llerena Garrés, Francesc, 2015. "On the (in)compatibility of rationality, monotonicity and consistency for cooperative games," Working Papers 2072/247807, Universitat Rovira i Virgili, Department of Economics.
    3. J. Arin & I. Katsev, 2016. "A monotonic core solution for convex TU games," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1013-1029, November.
    4. 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.

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