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The Behaviour Of Solutions To Bargaining Problems On The Basis Of Solidarity

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  • YONGSHENG XU
  • NAOKI YOSHIHARA

Abstract

The main purpose of this paper is to provide a systematic study of the solidarity‐type axioms for classical convex bargaining problems. As a consequence, we present alternative characterizations for some well‐known solutions in the literature. Instead of using the Monotonicity axiom, the paper provides characterizations of the egalitarian solution and the Kalai–Somorodinsky solution using slightly weaker versions of Nash's original IIA for convex bargaining problems with a fixed population.

Suggested Citation

  • Yongsheng Xu & Naoki Yoshihara, 2008. "The Behaviour Of Solutions To Bargaining Problems On The Basis Of Solidarity," The Japanese Economic Review, Japanese Economic Association, vol. 59(1), pages 133-138, March.
    • Handle: RePEc:bla:jecrev:v:59:y:2008:i:1:p:133-138
    DOI: 10.1111/j.1468-5876.2007.00426.x
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    References listed on IDEAS

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    1. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    2. 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.
    3. 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.
    4. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
    5. Marc Fleurbaey & Francois Maniquet, 1999. "Cooperative production with unequal skills: The solidarity approach to compensation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 569-583.
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    Cited by:

    1. Yongsheng Xu & Naoki Yoshihara, 2020. "Nonconvex Bargaining Problems: Some Recent Developments," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 7-41, November.
    2. Gugl, Elisabeth & Leroux, Justin, 2011. "Share the gain, share the pain? Almost transferable utility, changes in production possibilities, and bargaining solutions," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 133-143.
    3. Yongsheng Xu & Naoki Yoshihara, 2019. "An equitable Nash solution to nonconvex bargaining problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 769-779, September.
    4. Lombardi, Michele & Yoshihara, Naoki, 2010. "Alternative characterizations of the proportional solution for nonconvex bargaining problems with claims," Economics Letters, Elsevier, vol. 108(2), pages 229-232, August.

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