IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v159y2017icp7-9.html
   My bibliography  Save this article

Characterization of the lexicographic egalitarian solution in the two-person bargaining problem

Author

Listed:
  • Mori, Osamu

Abstract

In this study, we provide a new characterization of the lexicographic egalitarian solution in the two-person bargaining problem using the Independence of Common Monotone Transformations axiom introduced by Nielsen (1983). We introduce two new axioms, Strict Suppes-Sen Proofness and Restricted Equity. Strict Suppes-Sen Proofness, which is analogous to Mariotti’s (1999) Suppes-Sen Proofness, represents impartiality in the use of the strong Pareto optimality. Restricted Equity represents the ethical notion that the more equitable distribution of utility gains relative to the disagreement point should be preferred if the total gain is fixed. Then, we show that the lexicographic egalitarian solution is characterized by Strict Suppes-Sen Proofness, Restricted Equity, and Independence of Common Monotone Transformations.

Suggested Citation

  • Mori, Osamu, 2017. "Characterization of the lexicographic egalitarian solution in the two-person bargaining problem," Economics Letters, Elsevier, vol. 159(C), pages 7-9.
    • Handle: RePEc:eee:ecolet:v:159:y:2017:i:c:p:7-9
    DOI: 10.1016/j.econlet.2017.06.044
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176517302793
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2017.06.044?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    3. Neilsen, Lars Tyge, 1983. "Ordinal Interpersonal Comparisons in Bargaining," Econometrica, Econometric Society, vol. 51(1), pages 219-221, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nejat Anbarci & Ching-jen Sun, 2011. "Distributive justice and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 453-470, September.
    2. Luís Carvalho, 2014. "A Constructive Proof of the Nash Bargaining Solution," Working Papers Series 2 14-01, ISCTE-IUL, Business Research Unit (BRU-IUL).
    3. Shiran Rachmilevitch, 2019. "Egalitarianism, utilitarianism, and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 741-751, April.
    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.
    5. Attanasi, Giuseppe & Corazzini, Luca & Passarelli, Francesco, 2017. "Voting as a lottery," Journal of Public Economics, Elsevier, vol. 146(C), pages 129-137.
    6. 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.
    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. Eyal Winter & Oscar Volij & Nir Dagan, 2002. "A characterization of the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 811-823.
    9. 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.
    10. Xu, Yongsheng & Yoshihara, Naoki, 2011. "Proportional Nash solutions - A new and procedural analysis of nonconvex bargaining problems," Discussion Paper Series 552, Institute of Economic Research, Hitotsubashi University.
    11. Vartiainen, Hannu, 2007. "Collective choice with endogenous reference outcome," Games and Economic Behavior, Elsevier, vol. 58(1), pages 172-180, January.
    12. Federico Valenciano & Annick Laruelle, 2005. "Bargaining In Committees Of Representatives: The Optimal Voting Rule," Working Papers. Serie AD 2005-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    13. 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.
    14. 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.
    15. Annick Laruelle & Federico Valenciano, 2008. "Bargaining in Committees of Representatives," Journal of Theoretical Politics, , vol. 20(1), pages 93-106, January.
    16. Laruelle, Annick & Valenciano, Federico, 2007. "Bargaining in committees as an extension of Nash's bargaining theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 291-305, January.
    17. Xu, Yongsheng, 2012. "Symmetry-based compromise and the Nash solution to convex bargaining problems," Economics Letters, Elsevier, vol. 115(3), pages 484-486.
    18. Dillenberger, David & Sadowski, Philipp, 2008. "Ashamed to be Selfish," MPRA Paper 8343, University Library of Munich, Germany.
    19. Shiran Rachmilevitch, 2021. "No individual priorities and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 855-863, May.
    20. Shiran Rachmilevitch, 2015. "The Nash solution is more utilitarian than egalitarian," Theory and Decision, Springer, vol. 79(3), pages 463-478, November.

    More about this item

    Keywords

    Bargaining theory; Axiomatic characterization; The lexicographic egalitarian bargaining solution; Independence of common monotone transformations; Impartiality; Equity;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:159:y:2017:i:c:p:7-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.