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Bargaining Theory over Opportunity Assignments and the Egalitarian Solution

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  • Xu, Yongsheng
  • Yoshihara, Naoki
  • 吉原, 直毅
  • ヨシハラ, ナオキ

Abstract

This paper discusses issues of axiomatic bargaining problems over opportunity assignments. The fair arbitrator uses the principle of "equal opportunity" for all players to make the recommendation on resource allocations. A framework in such a context is developed and the egalitarian solution to standard bargaining problems is reformulated and axiomatically characterized.

Suggested Citation

  • Xu, Yongsheng & Yoshihara, Naoki & 吉原, 直毅 & ヨシハラ, ナオキ, 2009. "Bargaining Theory over Opportunity Assignments and the Egalitarian Solution," Discussion Paper Series a517, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hit:hituec:a517
    Note: First Version: December, 2005; This version: March 2009
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    References listed on IDEAS

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    1. Thomson, William, 1983. "Equity in exchange economies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 217-244, April.
    2. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    3. Kranich, Laurence, 1996. "Equitable Opportunities: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 71(1), pages 131-147, October.
    4. Carmen Herrero, 1996. "Capabilities and utilities," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 69-88, December.
    5. Wulf Gaertner & Yongsheng Xu, 2006. "Capability Sets as the Basis of a New Measure of Human Development," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 7(3), pages 311-321.
    6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    7. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
    8. Xu, Yongsheng, 2003. "On ranking compact and comprehensive opportunity sets," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 109-119, April.
    9. Yoshihara, Naoki, 2003. "Characterizations of bargaining solutions in production economies with unequal skills," Journal of Economic Theory, Elsevier, vol. 108(2), pages 256-285, February.
    10. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On Ranking Opportunity Sets in Economic Environments," Journal of Economic Theory, Elsevier, vol. 93(1), pages 48-71, July.
    11. Yongsheng Xu, 2004. "On ranking linear budget sets in terms of freedom of choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(1), pages 281-289, February.
    12. Reiko Gotoh & Naoki Yoshihara, 2003. "A class of fair distribution rules à la Rawls and Sen," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(1), pages 63-88, August.
    13. Yongsheng Xu, 2002. "Functioning, capability and the standard of living - an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 387-399.
    14. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74, pages 132-132.
    15. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    16. Prasanta K. Pattanaik & Yongsheng Xu, 2007. "Minimal relativism, dominance, and standard of living comparisons based on functionings," Oxford Economic Papers, Oxford University Press, vol. 59(2), pages 354-374, April.
    17. Roemer, John E., 1988. "Axiomatic bargaining theory on economic environments," Journal of Economic Theory, Elsevier, vol. 45(1), pages 1-31, June.
    18. W. M. Gorman, 1980. "A Possible Procedure for Analysing Quality Differentials in the Egg Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(5), pages 843-856.
    19. Xu, Yongsheng & Yoshihara, Naoki, 2006. "Alternative characterizations of three bargaining solutions for nonconvex problems," Games and Economic Behavior, Elsevier, vol. 57(1), pages 86-92, October.
    20. Ernesto Savaglio & Stefano Vannucci, 2006. "On the Volume-Ranking of Opportunity Sets in Economic Environments," Department of Economics University of Siena 479, Department of Economics, University of Siena.
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    Cited by:

    1. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    2. Sakamoto, Norihito, 2017. "Characterizations of Social Choice Correspondences Based on Equality of Capabilities in a Pure Exchange Economy," RCNE Discussion Paper Series 4, Research Center for Normative Economics, Institute of Economic Research, Hitotsubashi University.

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    More about this item

    Keywords

    Opportunity sets; bargaining over opportunity assignments; egalitarian solution;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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