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The SD-prenucleolus for TU games

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  • Arin Aguirre, Francisco Javier
  • Katsev, Ilya

Abstract

We introduce and characterize a new solution concept for TU games. The new soluction is called SD-prenucleolus and is a lexicographic value although is not a weighted prenucleolus. The SD-prenucleolus satisfies several desirable poperties and is the only known solution that satisfies core stability, strong aggegate monotonicity and null player out property in the class of balanced games. The SD-prenucleolus is the only known solution that satisfies core stability continuity and is monotonic in the class of veto balanced games.

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Bibliographic Info

Paper provided by Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I in its series IKERLANAK with number 2011-56.

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Date of creation: Dec 2011
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Handle: RePEc:ehu:ikerla:201156

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Postal: Dpto. de Fundamentos del Análisis Económico I, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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Keywords: TU games; prenucleolus; per capita prenucleolus;

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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. Arin, J. & Feltkamp, V., 1994. "The nucleolus and kernel of veto-rich transferable utility games," Discussion Paper 1994-40, Tilburg University, Center for Economic Research.
  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. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer, vol. 15(3), pages 187-200.
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