IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v87y2014icp353-366.html
   My bibliography  Save this article

Tough negotiations: Bilateral bargaining with durable commitments

Author

Listed:
  • Ellingsen, Tore
  • Miettinen, Topi

Abstract

We offer a tractable model of tough negotiations and delayed agreement. The setting is an infinite horizon bilateral bargaining game in which negotiators can make strategic commitments to durable offers. Commitments decay stochastically, but uncommitted negotiators can make new commitments. The game's unique Markov Perfect equilibrium outcome takes the form of a war of attrition: Negotiators initially commit to incompatible offers, but agreement occurs once a negotiator's commitment decays. If commitments decay more quickly, the terms of the agreement become more equal. In expectation, more patient, committed, and less risk averse negotiators obtain a larger fraction of the surplus.

Suggested Citation

  • Ellingsen, Tore & Miettinen, Topi, 2014. "Tough negotiations: Bilateral bargaining with durable commitments," Games and Economic Behavior, Elsevier, vol. 87(C), pages 353-366.
  • Handle: RePEc:eee:gamebe:v:87:y:2014:i:c:p:353-366
    DOI: 10.1016/j.geb.2014.05.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825614001092
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2014.05.016?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. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Van Damme, Eric & Selten, Reinhard & Winter, Eyal, 1990. "Alternating bid bargaining with a smallest money unit," Games and Economic Behavior, Elsevier, vol. 2(2), pages 188-201, June.
    3. Alexander Wolitzky, 2012. "Reputational Bargaining With Minimal Knowledge of Rationality," Econometrica, Econometric Society, vol. 80(5), pages 2047-2087, September.
    4. Olivier Compte & Philippe Jehiel, 2002. "On the Role of Outside Options in Bargaining with Obstinate Parties," Econometrica, Econometric Society, vol. 70(4), pages 1477-1517, July.
    5. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    6. Roland Benabou & Jean Tirole, 2009. "Over My Dead Body: Bargaining and the Price of Dignity," American Economic Review, American Economic Association, vol. 99(2), pages 459-465, May.
    7. Kiefer, Nicholas M, 1988. "Economic Duration Data and Hazard Functions," Journal of Economic Literature, American Economic Association, vol. 26(2), pages 646-679, June.
    8. Fearon, James D., 1995. "Rationalist explanations for war," International Organization, Cambridge University Press, vol. 49(3), pages 379-414, July.
    9. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    10. Tore Ellingsen, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 581-602.
    11. Ali, S. Nageeb M., 2006. "Waiting to settle: Multilateral bargaining with subjective biases," Journal of Economic Theory, Elsevier, vol. 130(1), pages 109-137, September.
    12. Powell, Robert, 2004. "The Inefficient Use of Power: Costly Conflict with Complete Information," American Political Science Review, Cambridge University Press, vol. 98(2), pages 231-241, May.
    13. Guth, Werner & Ritzberger, Klaus & van Damme, Eric, 2004. "On the Nash bargaining solution with noise," European Economic Review, Elsevier, vol. 48(3), pages 697-713, June.
    14. Perry Motty & Reny Philip J., 1993. "A Non-cooperative Bargaining Model with Strategically Timed Offers," Journal of Economic Theory, Elsevier, vol. 59(1), pages 50-77, February.
    15. Ken Binmore & Michele Piccione & Larry Samuelson, "undated". "Evolutionary Stability in Alternating-Offers Bargaining Games," ELSE working papers 041, ESRC Centre on Economics Learning and Social Evolution.
    16. Powell, Robert, 2006. "War as a Commitment Problem," International Organization, Cambridge University Press, vol. 60(1), pages 169-203, January.
    17. Binmore, Ken & Piccione, Michele & Samuelson, Larry, 1998. "Evolutionary Stability in Alternating-Offers Bargaining Games," Journal of Economic Theory, Elsevier, vol. 80(2), pages 257-291, June.
    18. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-637, May.
    19. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    20. Fershtman Chaim & Seidmann Daniel J., 1993. "Deadline Effects and Inefficient Delay in Bargaining with Endogenous Commitment," Journal of Economic Theory, Elsevier, vol. 60(2), pages 306-321, August.
    21. Muhamet Yildiz, 2004. "Waiting to Persuade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(1), pages 223-248.
    22. Tore Ellingsen & Topi Miettinen, 2008. "Commitment and Conflict in Bilateral Bargaining," American Economic Review, American Economic Association, vol. 98(4), pages 1629-1635, September.
    23. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    24. Fernandez, Raquel & Glazer, Jacob, 1991. "Striking for a Bargain between Two Completely Informed Agents," American Economic Review, American Economic Association, vol. 81(1), pages 240-252, March.
    25. Ma, Ching-To Albert & Manove, Michael, 1993. "Bargaining with Deadlines and Imperfect Player Control," Econometrica, Econometric Society, vol. 61(6), pages 1313-1339, November.
    26. Kennan, John & Wilson, Robert, 1993. "Bargaining with Private Information," Journal of Economic Literature, American Economic Association, vol. 31(1), pages 45-104, March.
    27. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    28. Li, Duozhe, 2007. "Bargaining with history-dependent preferences," Journal of Economic Theory, Elsevier, vol. 136(1), pages 695-708, September.
    29. Olivier Compte & Philippe Jehiel, 2004. "Gradualism in Bargaining and Contribution Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 975-1000.
    30. Li, Duozhe, 2011. "Commitment and compromise in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 77(2), pages 203-211, February.
    31. Haller, Hans & Holden, Steinar, 1990. "A letter to the editor on wage bargaining," Journal of Economic Theory, Elsevier, vol. 52(1), pages 232-236, October.
    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. Kai A. Konrad & Marcel Thum, 2020. "Equilibrium opacity in ultimatum‐offer bargaining," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1515-1529, September.
    2. Heggedal, Tom-Reiel & Helland, Leif & Våge Knutsen, Magnus, 2022. "The power of outside options in the presence of obstinate types," Games and Economic Behavior, Elsevier, vol. 136(C), pages 454-468.
    3. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    4. Chung, Bobby W. & Wood, Daniel H., 2019. "Threats and promises in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 165(C), pages 37-50.
    5. Emin Karagözoğlu & Kerim Keskin, 2018. "Endogenous reference points in bargaining," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(2), pages 283-295, October.

    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. Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    2. Tore Ellingsen & Topi Miettinen, 2007. "Disagreement and Authority," Jena Economics Research Papers 2007-037, Friedrich-Schiller-University Jena.
    3. Dutta, Rohan, 2012. "Bargaining with revoking costs," Games and Economic Behavior, Elsevier, vol. 74(1), pages 144-153.
    4. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    5. Sebastian Schweighofer-Kodritsch, 2015. "Time Preferences and Bargaining," STICERD - Theoretical Economics Paper Series /2015/568, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    6. Caruana, Guillermo & Einav, Liran & Quint, Daniel, 2007. "Multilateral bargaining with concession costs," Journal of Economic Theory, Elsevier, vol. 132(1), pages 147-166, January.
    7. Ellingsen, Tore & Robles, Jack, 2002. "Does Evolution Solve the Hold-Up Problem?," Games and Economic Behavior, Elsevier, vol. 39(1), pages 28-53, April.
    8. Chung, Bobby W. & Wood, Daniel H., 2019. "Threats and promises in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 165(C), pages 37-50.
    9. Duozhe Li, 2004. "Bargaining with History Dependent Preferences," Econometric Society 2004 North American Summer Meetings 516, Econometric Society.
    10. Mauleon, Ana & Vannetelbosch, Vincent, 2004. "Bargaining with endogenous deadlines," Journal of Economic Behavior & Organization, Elsevier, vol. 54(3), pages 321-335, July.
    11. Britz, Volker, 2013. "Optimal value commitment in bilateral bargaining," Games and Economic Behavior, Elsevier, vol. 77(1), pages 345-351.
    12. Dilip Abreu & David G. Pearce, 2006. "Bargaining, Reputation and Equilibrium Selection in Repeated Games with Contracts," Levine's Bibliography 321307000000000640, UCLA Department of Economics.
    13. Ortner, Juan, 2013. "Optimism, delay and (in)efficiency in a stochastic model of bargaining," Games and Economic Behavior, Elsevier, vol. 77(1), pages 352-366.
    14. Thanassoulis, John, 2010. "Optimal stalling when bargaining," Journal of Economic Dynamics and Control, Elsevier, vol. 34(2), pages 101-120, February.
    15. Dilip Abreu & David G. Pearce, 2006. "Reputational Wars of Attrition with Complex Bargaining Postures," Levine's Working Paper Archive 122247000000001218, David K. Levine.
    16. Canidio, Andrea & Karle, Heiko, 2022. "The focusing effect in negotiations," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 1-20.
    17. Tore Ellingsen & Magnus Johannesson, 2004. "Is There a Hold‐up Problem?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 475-494, October.
    18. Jihong Lee & Hamid Sabourian, 2005. "Efficiency in Negotiation: Complexity and Costly Bargaining," Birkbeck Working Papers in Economics and Finance 0505, Birkbeck, Department of Economics, Mathematics & Statistics.
    19. Hamid Sabourian & Jihong Lee, 2004. "Complexity and Efficiency in the Negotiation Game," Econometric Society 2004 North American Winter Meetings 82, Econometric Society.
    20. Prabal Roy Chowdhury, 2003. "Inefficiencies in a Model of Team Formation," Group Decision and Negotiation, Springer, vol. 12(3), pages 195-215, May.

    More about this item

    Keywords

    Bargaining; Commitment; Disagreement; War of attrition;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • 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:gamebe:v:87:y:2014:i:c:p:353-366. 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.