IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v149y2025icp112-117.html
   My bibliography  Save this article

Axiomatic bargaining theory: New wine from old bottles

Author

Listed:
  • Karos, Dominik
  • Rachmilevitch, Shiran

Abstract

Five classical and uncontroversial axioms—symmetry, weak Pareto optimality, restricted monotonicity, midpoint domination, and superadditivity—characterize a bargaining solution. It assigns to each player their midpoint, that is, the n-th share of their utopia point, and equally divides what remains.

Suggested Citation

  • Karos, Dominik & Rachmilevitch, Shiran, 2025. "Axiomatic bargaining theory: New wine from old bottles," Games and Economic Behavior, Elsevier, vol. 149(C), pages 112-117.
  • Handle: RePEc:eee:gamebe:v:149:y:2025:i:c:p:112-117
    DOI: 10.1016/j.geb.2024.11.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825624001659
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2024.11.009?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. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    2. Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
    3. Diskin, A. & Koppel, M. & Samet, D., 2011. "Generalized Raiffa solutions," Games and Economic Behavior, Elsevier, vol. 73(2), pages 452-458.
    4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    5. Nejat Anbarci, 1998. "Simple Characterizations of the Nash and Kalai/smorodinsky Solutions," Theory and Decision, Springer, vol. 45(3), pages 255-261, December.
    6. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    Full references (including those not matched with items on IDEAS)

    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. Anbarci, Nejat & Sun, Ching-jen, 2013. "Robustness of intermediate agreements and bargaining solutions," Games and Economic Behavior, Elsevier, vol. 77(1), pages 367-376.
    2. Shiran Rachmilevitch, 2014. "Randomized dictatorship and the Kalai–Smorodinsky bargaining solution," Theory and Decision, Springer, vol. 76(2), pages 173-177, February.
    3. Dominik Karos & Nozomu Muto & Shiran Rachmilevitch, 2018. "A generalization of the Egalitarian and the Kalai–Smorodinsky bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1169-1182, November.
    4. José-Manuel Giménez-Gómez & António Osório & Josep E. Peris, 2015. "From Bargaining Solutions to Claims Rules: A Proportional Approach," Games, MDPI, vol. 6(1), pages 1-7, March.
    5. l'Haridon, Olivier & Malherbet, Franck & Pérez-Duarte, Sébastien, 2013. "Does bargaining matter in the small firms matching model?," Labour Economics, Elsevier, vol. 21(C), pages 42-58.
    6. Shiran Rachmilevitch, 2021. "Step-by-step negotiations and utilitarianism," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 433-445, June.
    7. Forgo, F. & Szidarovszky, F., 2003. "On the relation between the Nash bargaining solution and the weighting method," European Journal of Operational Research, Elsevier, vol. 147(1), pages 108-116, May.
    8. 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.
    9. Gomez, Juan Camilo, 2006. "Achieving efficiency with manipulative bargainers," Games and Economic Behavior, Elsevier, vol. 57(2), pages 254-263, November.
    10. Karos, Dominik & Rachmilevitch, Shiran, 2018. "The Midpoint-Constrained Egalitarian Bargaining Solution," Research Memorandum 007, Maastricht University, Graduate School of Business and Economics (GSBE).
    11. Jaume García-Segarra & Miguel Ginés-Vilar, 2019. "Stagnation proofness in n-agent bargaining problems," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(1), pages 215-224, March.
    12. Safra, Zvi & Samet, Dov, 2004. "An ordinal solution to bargaining problems with many players," Games and Economic Behavior, Elsevier, vol. 46(1), pages 129-142, January.
    13. Claus-Jochen Haake & Cheng-Zhong Qin, 2018. "On unification of solutions to the bargaining problem," Working Papers CIE 113, Paderborn University, CIE Center for International Economics.
    14. S. Nuray Akin & Murat R. Sertel, 2007. "The Kalai-Smorodinsky Bargaining Solution Manipulated by Pre-Donations is Concessionary," Working Papers 0718, University of Miami, Department of Economics.
    15. Rachmilevitch, Shiran, 2013. "Cooperative bargaining: Independence and monotonicity imply disagreement," Economics Letters, Elsevier, vol. 118(1), pages 240-242.
    16. Chatterjee, Kalyan & Chaturvedi, Rakesh, 2024. "Integrating Raiffa and Nash approaches to bargaining using interim agreements," Games and Economic Behavior, Elsevier, vol. 146(C), pages 105-120.
    17. O'Neill, Barry & Samet, Dov & Wiener, Zvi & Winter, Eyal, 2004. "Bargaining with an agenda," Games and Economic Behavior, Elsevier, vol. 48(1), pages 139-153, July.
    18. Navarro, Noemí & Veszteg, Róbert F., 2020. "On the empirical validity of axioms in unstructured bargaining," Games and Economic Behavior, Elsevier, vol. 121(C), pages 117-145.
    19. Julian J. Arevalo, 2005. "Gradual Nash Bargaining with Endogenous Agenda: A Path-Dependent Model," Game Theory and Information 0502004, University Library of Munich, Germany.
    20. Shiran Rachmilevitch, 2016. "Egalitarian–utilitarian bounds in Nash’s bargaining problem," Theory and Decision, Springer, vol. 80(3), pages 427-442, March.

    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:gamebe:v:149:y:2025:i:c:p:112-117. 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/inca/622836 .

    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.