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Characterizations of bargaining solutions in production economies with unequal skills

  • Yoshihara, Naoki

In production economies with unequal skills, this paper characterizes bargaining solutions by using axioms on allocation rules rather than axioms on classical bargaining solutions. Instead of Consistency of Resource Allocation across Dimension (CONRAD)[Roemer (1986, 1988)], which is essentially equivalent to the axiom of Welrfarism [Roemer (1988)], we introduce a weaker axiom, Consistency w.r.t. Technological Innovations (CTI), so that the non-welfaristic characterizations of bargaining solutions in the production economies are provided. By the characterizations, we can classify the three bargaining solutions (the Nash, the Kalai-Smorodinsky, and the Egalitarian solutions)from the viewpoint of responsibility and compensation discussed by Dwokin (1981, 1981a).

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 108 (2003)
Issue (Month): 2 (February)
Pages: 256-285

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Handle: RePEc:eee:jetheo:v:108:y:2003:i:2:p:256-285
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Thomson, William, 1980. "Two characterizations of the Raiffa solution," Economics Letters, Elsevier, vol. 6(3), pages 225-231.
  2. Diamantaras, Dimitrios & Wilkie, Simon, 1996. "On the Set of Pareto Efficient Allocations in Economies with Public Goods," Economic Theory, Springer, vol. 7(2), pages 371-79, February.
  3. Moulin, Herve & Roemer, John, 1989. "Public Ownership of the External World and Private Ownership of Self," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 347-67, April.
  4. Roemer, John E., 1988. "Axiomatic bargaining theory on economic environments," Journal of Economic Theory, Elsevier, vol. 45(1), pages 1-31, June.
  5. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
  6. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
  7. Moulin, Herve, 1990. "Joint Ownership of a Convex Technology: Comparison of Three Solutions," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 439-52, July.
  8. Chen, Mark A. & Maskin, Eric S., 1999. "Bargaining, Production, and Monotonicity in Economic Environments," Journal of Economic Theory, Elsevier, vol. 89(1), pages 140-147, November.
  9. Roemer, John E, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 751-84, November.
  10. 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.
  11. Gines, M. & Marhuenda, F., 2000. "Welfarism in Economic Domains," Journal of Economic Theory, Elsevier, vol. 93(2), pages 191-204, August.
  12. Howe, Roger, 1987. "Sections and extensions of concave functions," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 53-64, February.
  13. John P. Conley & Simon Wilkie & Richard P. McLean, 1996. "Reference functions and possibility theorems for cardinal social choice problems," Social Choice and Welfare, Springer, vol. 14(1), pages 65-78.
  14. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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