A NECESSARY AND SUFFICIENT CONDITION FOR THE NON-EMPTINESS OF THE SOCIALLY STABLE CORE IN STRUCTUREDTU-GAMES

Juan Carlos Cesco ()
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Juan Carlos Cesco: Instituto de Matemática Aplicada San Luis (UNSL-CONICET), Av. Ejército de los Andes 950, 5700 San Luis, Argentina;

International Game Theory Review (IGTR), 2009, vol. 11, issue 03, 383-389

Abstract: In this note we provide a neccesary and sufficient condition for the non-emptiness of the socially stable core of a general structuredTU-game which resembles closely the classical condition of balancedness given by Bondareva (1963) and Shapley (1967) to guarantee the non-emptiness of the classical core. Structured games have been introduced in Heringset al.(2007a) and more recently, in Heringset al.(2007b), studied in the framework of games with transferable utility. In the latter paper, the authors provide suffcient conditions for the non-emptiness of the socially stable core, but up to now, no necessary and sufficient condition is known.

Keywords: Transferable utility games; socially stable core; existence theorem (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219198909002376

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