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Equivalence and axiomatization of solutions for cooperative games with circular communication structure

Selçuk, Özer; Suzuki, Takamasa; Talman, Dolf - In: Economics Letters 121 (2013) 3, pp. 428-431

We study cooperative games with transferable utility and limited cooperation possibilities. The focus is on communication structures where the set of players forms a circle, so that the possibilities of cooperation are represented by the connected sets of nodes of an undirected circular graph....

Persistent link: https://www.econbiz.de/10011041728

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

Aguirre, Arin; Javier, Francisco; Katsev, Ilya - Departamento de Fundamentos del Análisis Económico I, … - 2013

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 …

Persistent link: https://www.econbiz.de/10011129018

The positive core for games with precedence constraints

Grabisch, Michel; Sudhölter, Peter - Institut for Virksomhedsledelse og Økonomi, Syddansk … - 2014

, a weak version of CRGP (the converse RGP) has to be added, and CLOS can be deleted. For classical games the prenucleolus …

Persistent link: https://www.econbiz.de/10010818963

The positive core for games with precedence constraints.

Grabisch, Michel; Sudhölter, Peter - Centre d'Économie de la Sorbonne, Université Paris 1 … - 2014

, a weak version of CRGP (the converse RGP) has to be added, and CLOS can be deleted. For classical games the prenucleolus …

Persistent link: https://www.econbiz.de/10010791268

The positive core for games with precedence constraints

Grabisch, Michel; Sudhölter, Peter - HAL - 2014

, a weak version of CRGP (the converse RGP) has to be added, and CLOS can be deleted. For classical games the prenucleolus …

Persistent link: https://www.econbiz.de/10011026097

The SD-prenucleolus for TU games

Arin, J.; Katsev, I. - In: Mathematical Methods of Operations Research 80 (2014) 3, pp. 307-327

<Para ID="Par1">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 …

Persistent link: https://www.econbiz.de/10011152061

The SD-prenucleolus for TU games

Katsev, Ilya; Aguirre, Arin; Javier, Francisco - Departamento de Fundamentos del Análisis Económico I, … - 2011

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 … of balanced games. The SD-prenucleolus is the only known solution that satisfies core stability continuity and is …

Persistent link: https://www.econbiz.de/10009366886

EGALITARIAN DISTRIBUTIONS IN COALITIONAL MODELS

ARIN, J. - In: International Game Theory Review (IGTR) 09 (2007) 01, pp. 47-57

The paper presents a framework in which the most important single-valued solutions in the literature of TU games are jointly analyzed. None of the main results is original.

Persistent link: https://www.econbiz.de/10005047542

Egalitarian distributions in coalitional models: The Lorenz criterion

Aguirre, Arin; Javier, Francisco - Departamento de Fundamentos del Análisis Económico I, … - 2003

The paper presents a framework where the most important single-valued solutions in the literature of TU games are jointly analyzed. The paper also suggests that similar frameworks may be useful for other coalitional models.

Persistent link: https://www.econbiz.de/10005121345

Coincidence of Cooperative Game Theoretic Solutions in the Appointment Problem

yengin, duygu; Chun, Youngsub; Park, Nari - School of Economics, University of Adelaide - 2015

in the cooperative game theory. We show that the well-known solutions of the cooperative game theory, the Shapley value …, the nucleolus (or the prenucleolus), and the t -value, coincide under a mild condition onthe traveling cost. …

Persistent link: https://www.econbiz.de/10011245946