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Nash bargaining theory when the number of alternatives can be finite

Author

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  • Marco Mariotti

    (Department of Economics, Royal Holloway College, University of London, Egham, Surrey TW20 0EX, UK)

Abstract

Nash (1950) considered a domain of convex bargaining problems. We analyse domains including, or even consisting of, finite problems and provide various characterisations of the Nash Bargaining Solution (NBS). In particular, we extend Kaneko's (1980) results.

Suggested Citation

  • Marco Mariotti, 1998. "Nash bargaining theory when the number of alternatives can be finite," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 413-421.
  • Handle: RePEc:spr:sochwe:v:15:y:1998:i:3:p:413-421
    Note: Received: 12 July 1996 / Accepted: 6 February 1997
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    Citations

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    Cited by:

    1. Fabio Galeotti & Maria Montero & Anders Poulsen, 2017. "The attraction and compromise effects in bargaining: Experimental evidence," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 17-04, School of Economics, University of East Anglia, Norwich, UK..
    2. Paola Manzini & Marco Mariotti, 2006. "Two-stage Bargaining Solutions," Working Papers 572, Queen Mary University of London, School of Economics and Finance.
    3. 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.
    4. 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.
    5. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    6. Attanasi, Giuseppe & Corazzini, Luca & Passarelli, Francesco, 2017. "Voting as a lottery," Journal of Public Economics, Elsevier, vol. 146(C), pages 129-137.
    7. 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.
    8. 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.
    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. Zambrano, Eduardo, 2016. "‘Vintage’ Nash bargaining without convexity," Economics Letters, Elsevier, vol. 141(C), pages 32-34.
    11. Yanhong Gu & Jing Fan & Guochun Tang & Jiaofei Zhong, 2013. "Maximum latency scheduling problem on two-person cooperative games," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 71-81, July.
    12. Yongsheng Xu & Naoki Yoshihara, 0. "Nonconvex Bargaining Problems: Some Recent Developments," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 0, pages 1-35.
    13. Agnetis, Alessandro & Chen, Bo & Nicosia, Gaia & Pacifici, Andrea, 2019. "Price of fairness in two-agent single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 276(1), pages 79-87.
    14. Y. H. Gu & M. Goh & Q. L. Chen & R. D. Souza & G. C. Tang, 2013. "A new two-party bargaining mechanism," Journal of Combinatorial Optimization, Springer, vol. 25(1), pages 135-163, January.
    15. Xu, Yongsheng & Yoshihara, Naoki, 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.
    16. 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.
    17. Vincenzo Denicolò & Marco Mariotti, 2000. "Nash Bargaining Theory, Nonconvex Problems and Social Welfare Orderings," Theory and Decision, Springer, vol. 48(4), pages 351-358, June.
    18. Michele Lombardi & Marco Mariotti, 2009. "Uncovered bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 601-610, November.
    19. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, University Library of Munich, Germany, revised 06 Dec 1996.
    20. John Conley & Simon Wilkie, 2012. "The ordinal egalitarian bargaining solution for finite choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 23-42, January.

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