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How to Add Apples and Pears: Non-Symmetric Nash Bargaining and the Generalized Joint Surplus

  • Samuel Danthine

    ()

    (CREST-Ensai and CIRPÉE)

  • Noemí Navarro

    ()

    (Basque Country University (EHU/UPV) and IKERBASQUE, Basque Foundation for Science)

We find how to compute the non-symmetric Nash bargaining solution by means of a generalized property of linear division of the joint surplus, as an alternative of solving the maximization of the generalized Nash product. This generalized property of linear division in the non-symmetric Nash bargaining solution can be applied to the case when bargainers use different utility scales, in particular when they have different attitudes toward risk, as in the case of a risk neutral firm and a risk averse individual. The surplus each agent receives has to be expressed in compatible, or comparable, units across agents. This is contrary to what has been believed in the labor literature, where many authors have partially expressed surpluses in comparable units. We finally illustrate the conditions of applicability of our result by means of a well-known example.

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Article provided by AccessEcon in its journal Economics Bulletin.

Volume (Year): 33 (2013)
Issue (Month): 4 ()
Pages: 2840-2850

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Handle: RePEc:ebl:ecbull:eb-13-00235
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  1. Olivier Jean Blanchard & Peter Diamond, 1994. "Ranking, Unemployment Duration, and Wages," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 417-434.
  2. Boone, Jan & Fredriksson, Peter & Holmlund, Bertil & van Ours, Jan, 2001. "Optimal Unemployment Insurance with Monitoring and Sanctions," Working Paper Series 2001:20, Uppsala University, Department of Economics.
  3. Etienne Lehmann & Bruno Van Der Linden, 2007. "On the Optimality of Search Matching Equilibrium When Workers Are Risk Averse," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(5), pages 867-884, October.
  4. Pissarides, Christopher A, 1985. "Short-run Equilibrium Dynamics of Unemployment Vacancies, and Real Wages," American Economic Review, American Economic Association, vol. 75(4), pages 676-90, September.
  5. Rupert, Peter & Schindler, Martin & Wright, Randall, 2001. "Generalized search-theoretic models of monetary exchange," Journal of Monetary Economics, Elsevier, vol. 48(3), pages 605-622, December.
  6. Kagel,John H. & Battalio,Raymond C. & Green,Leonard, 2007. "Economic Choice Theory," Cambridge Books, Cambridge University Press, number 9780521035927, June.
  7. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Cahuc, Pierre & Lehmann, Etienne, 2000. "Should unemployment benefits decrease with the unemployment spell?," Journal of Public Economics, Elsevier, vol. 77(1), pages 135-153, July.
  9. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 661465000000000387, David K. Levine.
  10. Conley, John P. & Wilkie, Simon, 1996. "An Extension of the Nash Bargaining Solution to Nonconvex Problems," Games and Economic Behavior, Elsevier, vol. 13(1), pages 26-38, March.
  11. Fredriksson, P. & Holmlund, B., 1998. "Optimal Unemployment Insurance in Search Equilibrium," Papers 1998-2, Uppsala - Working Paper Series.
  12. Serrano, Roberto & Shimomura, Ken-Ichi, 1998. "Beyond Nash Bargaining Theory: The Nash Set," Journal of Economic Theory, Elsevier, vol. 83(2), pages 286-307, December.
  13. Lin Zhou, 1997. "The Nash Bargaining Theory with Non-Convex Problems," Econometrica, Econometric Society, vol. 65(3), pages 681-686, May.
  14. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  15. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
  16. C-S Chan, 1995. "A Cognitive Theory of Style," Environment and Planning B, , vol. 22(4), pages 461-474, August.
  17. Manning, Alan, 1987. "An Integration of Trade Union Models in a Sequential Bargaining Framework," Economic Journal, Royal Economic Society, vol. 97(385), pages 121-39, March.
  18. Samuel Danthine & Noemí Navarro, 2013. "How to Add Apples and Pears: Non-Symmetric Nash Bargaining and the Generalized Joint Surplus," Economics Bulletin, AccessEcon, vol. 33(4), pages 2840-2850.
  19. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
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