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Reconciling the Nash and Kalai-Smorodinsky Cooperative Solutions: Generalized Maximands of CES Form

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  • Ana Paula Martins

Abstract

This note suggests variations to the baseline Nash cooperative solution that take into account the Kalai-Smorodinsky critique. One the one hand, a CES form of the maximand is proven to accommodate both the generalized two-person Nash and the Kalai-Smorodinsky - as other proportional - solutions as special cases. As an alternative, a Stone-Geary formulation is forwarded, weighing both the distances to the threat and to the ideal point, along with the corresponding CES generalization. Interpretations of the implied equilibrium solutions – generalizable to n-person cooperative games – are provided, arising as equations balancing geometric averages of measures of attitude towards (large) risk(s) of the players.

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Bibliographic Info

Paper provided by Economics and Econometrics Research Institute (EERI), Brussels in its series EERI Research Paper Series with number EERI_RP_2002_05.

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Date of creation: 05 Nov 2002
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Handle: RePEc:eei:rpaper:eeri_rp_2002_05

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Keywords: Two-Person Cooperative Games; Cooperative Games Maximands; Opportunism; Pessimism.;

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Cited by:
  1. Ana Paula Martins, 2010. "Splitting Games: Nash Equilibrium and the Optimisation Problem," Journal of Economics and Econometrics, Economics and Econometrics Research Institute (EERI), Brussels, vol. 53(1), pages 1-28.
  2. Ana Paula Martins, 2011. "Compliance with the Institutional Wage in Dualistic Models," EERI Research Paper Series EERI_RP_2011_04, Economics and Econometrics Research Institute (EERI), Brussels.

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