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Alternative characterizations of three bargaining solutions for nonconvex problems

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  • Xu, Yongsheng
  • Yoshihara, Naoki

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  • 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.
    • Handle: RePEc:eee:gamebe:v:57:y:2006:i:1:p:86-92
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    1. Conley, John P. & Wilkie, Simon, 1991. "The bargaining problem without convexity : Extending the egalitarian and Kalai-Smorodinsky solutions," Economics Letters, Elsevier, vol. 36(4), pages 365-369, August.
    2. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    3. Herrero, Maria Jose, 1989. "The nash program: Non-convex bargaining problems," Journal of Economic Theory, Elsevier, vol. 49(2), pages 266-277, December.
    4. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    5. Xu, Yongsheng & Yoshihara, Naoki & 吉原, 直毅 & ヨシハラ, ナオキ, 2006. "Axiomatic barganing theory on opportunity assignments," Discussion Paper Series a473, Institute of Economic Research, Hitotsubashi University.
    6. Marco Mariotti, 1999. "Fair Bargains: Distributive Justice and Nash Bargaining Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 733-741.
    7. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    8. 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.
    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. P. L. Yu, 1973. "A Class of Solutions for Group Decision Problems," Management Science, INFORMS, vol. 19(8), pages 936-946, April.
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    Cited by:

    1. Xu, Yongsheng & Yoshihara, Naoki, 2013. "Rationality and solutions to nonconvex bargaining problems: Rationalizability and Nash solutions," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 66-70.
    2. 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.
    3. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    4. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2015. "Bargaining with non-convexities," Games and Economic Behavior, Elsevier, vol. 90(C), pages 151-161.
    5. Yongsheng Xu & Naoki Yoshihara, 2022. "Bargaining theory over opportunity assignments and the egalitarian solution," Metroeconomica, Wiley Blackwell, vol. 73(1), pages 198-219, February.
    6. Cheng-Zhong Qin & Shuzhong Shi & Guofu Tan, 2015. "Nash bargaining for log-convex problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 413-440, April.
    7. 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.
    8. Michael R. Caputo, 2016. "Intrinsic Comparative Statics of a Nash Bargaining Solution," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-11, December.
    9. 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.
    10. 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.
    11. Xu, Yongsheng & Yoshihara, Naoki & 吉原, 直毅, 2011. "Proportional Nash solutions - A new and procedural analysis of nonconvex bargaining problems," CCES Discussion Paper Series 42, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    12. Rabia Nessah & Kristiaan Kerstens, 2008. "Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets," Working Papers 2008-ECO-13, IESEG School of Management.
    13. David H. Wolpert & James Bono, 2010. "A theory of unstructured bargaining using distribution-valued solution concepts," Working Papers 2010-14, American University, Department of Economics.
    14. Hans Peters & Dries Vermeulen, 2012. "WPO, COV and IIA bargaining solutions for non-convex bargaining problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 851-884, November.

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