The Core in Normal Form Games

KUL Centre for Economic Studies, CLIMNEG Working Paper No. 53

22 Pages Posted: 24 Feb 2003

See all articles by Laszlo A. Koczy

Laszlo A. Koczy

Hungarian Academy of Sciences (HAS) - Research Centre for Economic and Regional Studies (HAS); Quantitative Social and Management Sciences Research Group, Budapest University of Technology and Economics

Date Written: February 17, 2003

Abstract

Due to the externalities, in normal form games a deviation changes the payoff of all players inducing a retaliation by the remaining or residual players. The stability of an outcome depends on the expectations potential deviators have about this reaction, but so far no satisfactory theory has been provided. The present paper continues the work of Chander and Tulkens (1997) where deviators consider residual equilibria, but we allow coalitions to form, moreover introduce consistency between the residual solution and the solution of the original game. Optimistic and pessimistic considerations produce a pair of cores. These cores are compared to some existing cooperative concepts such as the gamma- and r-cores and the equilibrium binding agreements. In our final section we discuss the predominance of the grand coalition and suggest a generalisation of the normal form where such a precedence can be removed.

Keywords: externalities, residual game, cohesiveness

JEL Classification: C71, C70, C72

Suggested Citation

Koczy, Laszlo A., The Core in Normal Form Games (February 17, 2003). KUL Centre for Economic Studies, CLIMNEG Working Paper No. 53. Available at SSRN: https://ssrn.com/abstract=380720 or http://dx.doi.org/10.2139/ssrn.380720

Laszlo A. Koczy (Contact Author)

Hungarian Academy of Sciences (HAS) - Research Centre for Economic and Regional Studies (HAS) ( email )

Budaörsi 45
Budapest, H-1112
Hungary

HOME PAGE: http://www.mtakti.hu/en/kutatok/laszlo-a-koczy/276/

Quantitative Social and Management Sciences Research Group, Budapest University of Technology and Economics ( email )

Magyar Tudósok krt. 2.
Budapest, 1117
Hungary

HOME PAGE: http://qsms.mokk.bme.hu/index.php/koczy/

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