IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2211.06830.html
   My bibliography  Save this paper

Two-Person Bargaining when the Disagreement Point is Private Information

Author

Listed:
  • Eric van Damme
  • Xu Lang

Abstract

We consider two-person bargaining problems in which (only) the disagreement outcome is private (and possibly correlated) information and it is common knowledge that disagreement is inefficient. We show that if the Pareto frontier is linear, the outcome of an ex post efficient mechanism cannot depend on the disagreement payoffs. If the frontier is non-linear, the result continues to hold when the disagreement payoffs are independent or there is a player with at most two types. We discuss implications of these results for axiomatic bargaining theory and for full surplus extraction in mechanism design.

Suggested Citation

  • Eric van Damme & Xu Lang, 2022. "Two-Person Bargaining when the Disagreement Point is Private Information," Papers 2211.06830, arXiv.org, revised Jan 2024.
    • Handle: RePEc:arx:papers:2211.06830
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2211.06830
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Myerson, Roger B, 1977. "Two-Person Bargaining Problems and Comparable Utility," Econometrica, Econometric Society, vol. 45(7), pages 1631-1637, October.
    2. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-1797, November.
    3. Johannes Hörner & Massimo Morelli & Francesco Squintani, 2015. "Mediation and Peace," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1483-1501.
    4. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    5. Kim, Semin, 2017. "Ordinal versus cardinal voting rules: A mechanism design approach," Games and Economic Behavior, Elsevier, vol. 104(C), pages 350-371.
    6. Jean-François Mertens, 2004. "Ordinality in non cooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(3), pages 387-430, June.
    7. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    8. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    9. Tymofiy Mylovanov & Thomas Tröger, 2014. "Mechanism Design by an Informed Principal: Private Values with Transferable Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1668-1707.
    10. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    11. Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
    12. de Clippel, Geoffroy & Pérez-Castrillo, David & Wettstein, David, 2012. "Egalitarian equivalence under asymmetric information," Games and Economic Behavior, Elsevier, vol. 75(1), pages 413-423.
    13. Kosenok, Grigory & Severinov, Sergei, 2008. "Individually rational, budget-balanced mechanisms and allocation of surplus," Journal of Economic Theory, Elsevier, vol. 140(1), pages 126-161, May.
    14. Myerson, Roger B, 1984. "Two-Person Bargaining Problems with Incomplete Information," Econometrica, Econometric Society, vol. 52(2), pages 461-487, March.
    15. 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.
    16. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    17. Myerson, Roger B, 1979. "Incentive Compatibility and the Bargaining Problem," Econometrica, Econometric Society, vol. 47(1), pages 61-73, January.
    18. Weidner, Frank, 1992. "The Generalized Nash Bargaining Solution and Incentive Compatible Mechanisms," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(2), pages 109-129.
    19. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    20. Severinov, Sergei, 2008. "An efficient solution to the informed principal problem," Journal of Economic Theory, Elsevier, vol. 141(1), pages 114-133, July.
    21. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    22. Mylovanov, Timofiy & Troger, Thomas E., 2012. "Informed principal problems in generalized private values environments," Theoretical Economics, Econometric Society, vol. 7(3), September.
    23. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
    24. Carroll, Gabriel, 2018. "On mechanisms eliciting ordinal preferences," Theoretical Economics, Econometric Society, vol. 13(3), September.
    25. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    26. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    27. Forges, Francoise, 1990. "Correlated Equilibrium in Two-Person Zero-Sum Games," Econometrica, Econometric Society, vol. 58(2), pages 515-515, March.
    28. Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June.
    29. Alon, Shiri & Lehrer, Ehud, 2019. "Competitive equilibrium as a bargaining solution: An axiomatic approach," Games and Economic Behavior, Elsevier, vol. 118(C), pages 60-71.
    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. Geoffroy de Clippel & David Perez-Castrillo & David Wettstein, 2010. "Egalitarian Equivalence under Asymmetric Information," Working Papers 2010-5, Brown University, Department of Economics.
    2. de Clippel, Geoffroy & Pérez-Castrillo, David & Wettstein, David, 2012. "Egalitarian equivalence under asymmetric information," Games and Economic Behavior, Elsevier, vol. 75(1), pages 413-423.
    3. Kim, Jin Yeub, 2017. "Interim third-party selection in bargaining," Games and Economic Behavior, Elsevier, vol. 102(C), pages 645-665.
    4. Geoffroy de Clippel, 2010. "Copmment on Egalitarianism under Incomplete Information," Working Papers 2010-4, Brown University, Department of Economics.
    5. Kjell Hausken, 1997. "Game-theoretic and Behavioral Negotiation Theory," Group Decision and Negotiation, Springer, vol. 6(6), pages 511-528, December.
    6. Jin Yeub Kim, 2022. "Neutral public good mechanisms," PLOS ONE, Public Library of Science, vol. 17(4), pages 1-16, April.
    7. Okada, Akira, 2016. "A non-cooperative bargaining theory with incomplete information: Verifiable types," Journal of Economic Theory, Elsevier, vol. 163(C), pages 318-341.
    8. Claus-Jochen Haake & Sonja Recker, 2018. "The Generalized Nash Bargaining Solution for Transfer Price Negotiations Under Incomplete Information," Group Decision and Negotiation, Springer, vol. 27(6), pages 905-932, December.
    9. Sonja Brangewitz & Claus-Jochen Haake, 2013. "Cooperative Transfer Price Negotiations under Incomplete Information," Working Papers CIE 64, Paderborn University, CIE Center for International Economics.
    10. Robert J. Weber, 1985. "Negotiation and Arbitration: A Game-Theoretic Perspective," Discussion Papers 666, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    12. Jyotishka Ray & Syam Menon & Vijay Mookerjee, 2020. "Bargaining over Data: When Does Making the Buyer More Informed Help?," Information Systems Research, INFORMS, vol. 31(1), pages 1-15, March.
    13. Geoffroy de Clippel & Jack Fanning & Kareen Rozen, 2020. "Bargaining over Contingent Contracts Under Incomplete Information," Working Papers 2020-13, Brown University, Department of Economics.
    14. Geoffroy de Clippel & Jack Fanning & Kareen Rozen, 2022. "Bargaining over Contingent Contracts under Incomplete Information," American Economic Review, American Economic Association, vol. 112(5), pages 1522-1554, May.
    15. Xu Lang, 2022. "Reduced-Form Allocations with Complementarity: A 2-Person Case," Papers 2202.06245, arXiv.org, revised Feb 2022.
    16. Roger B. Myerson, 1983. "Analysis of Two Bargaining Problems with Incomplete Information," Discussion Papers 582, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    17. Hanato, Shunsuke, 2019. "Simultaneous-offers bargaining with a mediator," Games and Economic Behavior, Elsevier, vol. 117(C), pages 361-379.
    18. Binmore, Ken & Osborne, Martin J. & Rubinstein, Ariel, 1992. "Noncooperative 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 1, chapter 7, pages 179-225, Elsevier.
    19. Joan Esteban & József Sákovics, 2002. "Endogenous bargaining power," Economics Working Papers 644, Department of Economics and Business, Universitat Pompeu Fabra.
    20. Kalyan Chatterjee & Gary L. Lilien, 1984. "Efficiency of Alternative Bargaining Procedures," Journal of Conflict Resolution, Peace Science Society (International), vol. 28(2), pages 270-295, June.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2211.06830. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.