IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v76y2015icp12-18.html
   My bibliography  Save this article

Commitment in alternating offers bargaining

Author

Listed:
  • Miettinen, Topi
  • Perea, Andrés

Abstract

We extend the Ståhl–Rubinstein alternating-offer bargaining procedure to allow players to simultaneously and visibly commit to some share of the pie prior to, and for the duration of, each bargaining round. If commitment costs are small but increasing in the committed share, then the unique subgame perfect equilibrium outcome exhibits a second mover advantage. In particular, as the horizon approaches infinity, and commitment costs approach zero, the unique bargaining outcome corresponds to the reversed Rubinstein outcome (δ/(1+δ),1/(1+δ)), where δ is the common discount factor.

Suggested Citation

  • Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    • Handle: RePEc:eee:matsoc:v:76:y:2015:i:c:p:12-18
    DOI: 10.1016/j.mathsocsci.2015.03.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489615000232
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.mathsocsci.2015.03.003?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    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. JÕzsef SÂkovics & Clara PonsatÎ, 1998. "Rubinstein bargaining with two-sided outside options," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 667-672.
    3. A. Michael Spence, 1979. "Investment Strategy and Growth in a New Market," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 1-19, Spring.
    4. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
    5. Steffen Huck & Georg Kirchsteiger & Jörg Oechssler, 2005. "Learning to like what you have - explaining the endowment effect," Economic Journal, Royal Economic Society, vol. 115(505), pages 689-702, July.
    6. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March.
    7. Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    8. Bade, Sophie & Haeringer, Guillaume & Renou, Ludovic, 2009. "Bilateral commitment," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1817-1831, July.
    9. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, I: Overview and Quantity Competition with Large Fixed Costs," Econometrica, Econometric Society, vol. 56(3), pages 549-569, May.
    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. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    12. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    13. Muthoo, Abhinay, 1992. "Revocable Commitment and Sequential Bargaining," Economic Journal, Royal Economic Society, vol. 102(411), pages 378-387, March.
    14. Philippe Jehiel & Oliver Compte, 2007. "Bargaining with Reference Dependent Preferences," Levine's Bibliography 122247000000001552, UCLA Department of Economics.
    15. Topi Miettinen, 2010. "History-dependent Reciprocity in Alternating Offer Bargaining," Finnish Economic Papers, Finnish Economic Association, vol. 23(1), pages 1-15, Spring.
    16. Ken Binmore & Avner Shared & John Sutton, 1989. "An Outside Option Experiment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(4), pages 753-770.
    17. Renou, Ludovic, 2009. "Commitment games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 488-505, May.
    18. Ellingsen, Tore, 1995. "On flexibility in oligopoly," Economics Letters, Elsevier, vol. 48(1), pages 83-89, April.
    19. Muthoo, Abhinay, 1996. "A Bargaining Model Based on the Commitment Tactic," Journal of Economic Theory, Elsevier, vol. 69(1), pages 134-152, April.
    20. Li, Duozhe, 2007. "Bargaining with history-dependent preferences," Journal of Economic Theory, Elsevier, vol. 136(1), pages 695-708, September.
    21. Huck, Steffen & Oechssler, Jorg, 1999. "The Indirect Evolutionary Approach to Explaining Fair Allocations," Games and Economic Behavior, Elsevier, vol. 28(1), pages 13-24, July.
    22. Li, Duozhe, 2011. "Commitment and compromise in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 77(2), pages 203-211, February.
    23. Alexander Wolitzky, 2012. "Reputational Bargaining With Minimal Knowledge of Rationality," Econometrica, Econometric Society, vol. 80(5), pages 2047-2087, September.
    24. Maskin, Eric & Tirole, Jean, 1987. "A theory of dynamic oligopoly, III : Cournot competition," European Economic Review, Elsevier, vol. 31(4), pages 947-968, June.
    25. 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.
    26. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    27. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
    28. Perea, Andrés, 2014. "Belief in the opponentsʼ future rationality," Games and Economic Behavior, Elsevier, vol. 83(C), pages 231-254.
    29. Crawford, Vincent P, 1982. "A Theory of Disagreement in Bargaining," Econometrica, Econometric Society, vol. 50(3), pages 607-637, May.
    30. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    31. 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.
    32. Tore Ellingsen & Topi Miettinen, 2008. "Commitment and Conflict in Bilateral Bargaining," American Economic Review, American Economic Association, vol. 98(4), pages 1629-1635, September.
    33. A. Michael Spence, 1977. "Entry, Capacity, Investment and Oligopolistic Pricing," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 534-544, Autumn.
    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. Kang Rong, 2015. "Bargaining with split-the-difference arbitration," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 441-455, September.
    2. Miettinen, Topi & Perea, Andrés, 2015. "Commitment in alternating offers bargaining," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 12-18.
    3. Britz, Volker, 2018. "Rent-seeking and surplus destruction in unanimity bargaining," Games and Economic Behavior, Elsevier, vol. 109(C), pages 1-20.
    4. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    5. Chung, Bobby W. & Wood, Daniel H., 2019. "Threats and promises in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 165(C), pages 37-50.

    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. Ellingsen, Tore & Miettinen, Topi, 2014. "Tough negotiations: Bilateral bargaining with durable commitments," Games and Economic Behavior, Elsevier, vol. 87(C), pages 353-366.
    2. Chung, Bobby W. & Wood, Daniel H., 2019. "Threats and promises in bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 165(C), pages 37-50.
    3. Dutta, Rohan, 2012. "Bargaining with revoking costs," Games and Economic Behavior, Elsevier, vol. 74(1), pages 144-153.
    4. Britz, Volker, 2013. "Optimal value commitment in bilateral bargaining," Games and Economic Behavior, Elsevier, vol. 77(1), pages 345-351.
    5. Tore Ellingsen & Topi Miettinen, 2007. "Disagreement and Authority," Jena Economics Research Papers 2007-037, Friedrich-Schiller-University Jena.
    6. Send, Jonas & Serena, Marco, 2022. "An empirical analysis of insistent bargaining," Journal of Economic Psychology, Elsevier, vol. 90(C).
    7. Britz, V., 2010. "Optimal value commitment in bilateral bargaining," Research Memorandum 056, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    8. Jonas Send & Marco Serena, 2021. "An Empirical Analysis of Stubborn Bargaining," Working Papers tax-mpg-rps-2021-05, Max Planck Institute for Tax Law and Public Finance.
    9. Miettinen, Topi & Vanberg, Christoph, 2020. "Commitment and Conflict in Multilateral Bargaining," Working Papers 0679, University of Heidelberg, Department of Economics.
    10. Basak, Deepal, 2023. "Bargaining under almost complete information," Journal of Economic Theory, Elsevier, vol. 214(C).
    11. Britz, Volker, 2018. "Rent-seeking and surplus destruction in unanimity bargaining," Games and Economic Behavior, Elsevier, vol. 109(C), pages 1-20.
    12. Britz, V., 2010. "Optimal value commitment in bilateral bargaining," Research Memorandum 013, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    13. Amoros, Pablo & Moreno, Bernardo, 2006. "Bargaining and waning commitments," Economics Letters, Elsevier, vol. 92(3), pages 417-422, September.
    14. 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.
    15. Selçuk Özyurt, 2015. "Searching for a Bargain: Power of Strategic Commitment," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 320-353, February.
    16. Drew Fudenberg, 2015. "Tirole's Industrial Regulation and Organization Legacy in Economics," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(3), pages 771-800, July.
    17. Duozhe Li, 2004. "Bargaining with History Dependent Preferences," Econometric Society 2004 North American Summer Meetings 516, Econometric Society.
    18. Kang Rong, 2015. "Bargaining with split-the-difference arbitration," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 441-455, September.
    19. Tigran Melkonyan & Surajeet Chakravarty, 2024. "Pre‐play promises, threats and commitments under partial credibility," Economic Inquiry, Western Economic Association International, vol. 62(1), pages 308-328, January.
    20. Daniel Cardona-Coll, 2003. "Bargaining and Strategic Demand Commitment," Theory and Decision, Springer, vol. 54(4), pages 357-374, June.

    More about this item

    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
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

    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:matsoc:v:76:y:2015:i:c:p:12-18. 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/505565 .

    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.