A monotonic core concept for convex games: The SD-prenucleolus

Francisco Javier Arin Aguirre and Ilya Katsev

IKERLANAK from Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I

Abstract: We prove that the SD-prenucleolus satisfies monotonicity in the class of convex games. The SD-prenucleolus is thus the only known continuous core concept that satisfies monotonicity for convex games. We also prove that for convex games the SD-prenucleolus and the SD-prekernel coincide.

Keywords: TU games; prenucleolus; monotonicity (search for similar items in EconPapers)
Date: 2013-02-26
New Economics Papers: this item is included in nep-gth and nep-mic
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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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