Browsing Ikerlanak by Author "Katsev, Ilya"
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A monotonic core concept for convex games: The SD-prenucleolus
Arin Aguirre, Francisco Javier; Katsev, Ilya (Departamento de Fundamentos dle Análisis Económico I, 2013-02-26)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 ... -
The coincidence of the kernel and nucleolus of a convex game: an alternative proof
Arin Aguirre, Francisco Javier; Katsev, Ilya (2013)In 1972, Maschler, Peleg and Shapley proved that in the class of convex the nucleolus and the kernel coincide. The only aim of this note is to provide a shorter, alternative proof of this result. -
The SD-prekernel for TU games
Arin Aguirre, Francisco Javier; Katsev, Ilya (Departamento Fundamentos del Análisis Económico I, 2016-03-14)We introduce and analyze a new solution concept for TU games:The Surplus Distributor Prekernel. Like the prekermel, the new solu- tion is based on the an alternative motion of complaint of one player against other with ... -
The SD-prenucleolus for TU games
Arin Aguirre, Francisco Javier; Katsev, Ilya (2011-12)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 ...