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Games 2010, 1(3), 338-356; doi:10.3390/g1030338
Article

Partial Cooperative Equilibria: Existence and Characterization

1,* , 2, 3 and 4
1 CRESE, Université de Franche-Comté, 30, Avenue de l’Observatoire, 25009 Besançon, France 2 School of Management and Economics, Queen’s University Belfast, 25, University Square, Belfast BT7 1NN, Northern Ireland, UK 3 Keleti Faculty of Economics, Obuda University, Tavaszmezo 15-17, H-1084 Budapest, Hungary 4 GATE Lyon Saint-Etienne, Université de Saint-Etienne, 6, rue basse des rives, 42023 Saint-Etienne, France
* Author to whom correspondence should be addressed.
Received: 18 May 2010 / Revised: 6 August 2010 / Accepted: 14 September 2010 / Published: 21 September 2010
(This article belongs to the Special Issue Coalition Formation)
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Abstract

We study the solution concepts of partial cooperative Cournot-Nash equilibria and partial cooperative Stackelberg equilibria. The partial cooperative Cournot-Nash equilibrium is axiomatically characterized by using notions of rationality, consistency and converse consistency with regard to reduced games. We also establish sufficient conditions for which partial cooperative Cournot-Nash equilibria and partial cooperative Stackelberg equilibria exist in supermodular games. Finally, we provide an application to strategic network formation where such solution concepts may be useful.
Keywords: partial cooperative equilibrium; supermodular games; network formation partial cooperative equilibrium; supermodular games; network formation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Béal, S.; Chakrabarti, S.; Ghintran, A.; Solal, P. Partial Cooperative Equilibria: Existence and Characterization. Games 2010, 1, 338-356.

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