IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v185y2019ics0165176519303489.html
   My bibliography  Save this article

Bilateral bargaining with endogenous status quo

Author

Listed:
  • Kawamori, Tomohiko

Abstract

We consider a non-cooperative bargaining game where in each round, if a proposal is rejected, with a probability, the allocation implemented in the previous round is implemented as a status quo and the game proceeds to the next round, and with the complementary probability, no allocations are implemented and the negotiations break down. We show that there exists a unique stationary subgame perfect equilibrium such that in any round, a proposer offers a proposal such that the responder is indifferent between accepting and rejecting it and an agreement is achieved. If the probability of breakdown is close to zero, the sequence of equilibrium allocations evolves from the initial status quo to an allocation near the equilibrium allocation of the Rubinstein bargaining game over time. The effect of the initial status quo on the equilibrium allocations vanishes over time.

Suggested Citation

  • Kawamori, Tomohiko, 2019. "Bilateral bargaining with endogenous status quo," Economics Letters, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:ecolet:v:185:y:2019:i:c:s0165176519303489
    DOI: 10.1016/j.econlet.2019.108699
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176519303489
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2019.108699?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. Wioletta Dziuda & Antoine Loeper, 2016. "Dynamic Collective Choice with Endogenous Status Quo," Journal of Political Economy, University of Chicago Press, vol. 124(4), pages 1148-1186.
    2. Bowen, T. Renee & Zahran, Zaki, 2012. "On dynamic compromise," Games and Economic Behavior, Elsevier, vol. 76(2), pages 391-419.
    3. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    4. Muthoo Abhinay, 1995. "Bargaining in a Long-Term Relationship with Endogenous Termination," Journal of Economic Theory, Elsevier, vol. 66(2), pages 590-598, August.
    5. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    6. 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.
    7. Muthoo,Abhinay, 1999. "Bargaining Theory with Applications," Cambridge Books, Cambridge University Press, number 9780521576475, November.
    8. Kalandrakis, Anastassios, 2004. "A three-player dynamic majoritarian bargaining game," Journal of Economic Theory, Elsevier, vol. 116(2), pages 294-322, June.
    9. Tasos Kalandrakis, 2010. "Minimum winning coalitions and endogenous status quo," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 617-643, October.
    10. Daniel Diermeier & Pohan Fong, 2011. "Legislative Bargaining with Reconsideration," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 947-985.
    11. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 513-525.
    12. Vincent Anesi & Daniel J. Seidmann, 2015. "Bargaining in Standing Committees with an Endogenous Default," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(3), pages 825-867.
    13. Richter, Michael, 2014. "Fully absorbing dynamic compromise," Journal of Economic Theory, Elsevier, vol. 152(C), pages 92-104.
    14. Baron, David P., 1996. "A Dynamic Theory of Collective Goods Programs," American Political Science Review, Cambridge University Press, vol. 90(2), pages 316-330, June.
    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. Zhongwei Feng & Chunqiao Tan & Jinchun Zhang & Qiang Zeng, 2021. "Bargaining Game with Altruistic and Spiteful Preferences," Group Decision and Negotiation, Springer, vol. 30(2), pages 277-300, April.
    2. Zhongwei Feng & Yan Ma & Yuzhong Yang, 2023. "Credibilistic Cournot Game with Risk Aversion under a Fuzzy Environment," Mathematics, MDPI, vol. 11(4), pages 1-18, February.

    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. Anesi, Vincent & Duggan, John, 2018. "Existence and indeterminacy of markovian equilibria in dynamic bargaining games," Theoretical Economics, Econometric Society, vol. 13(2), May.
    2. Nunnari, Salvatore, 2021. "Dynamic legislative bargaining with veto power: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 126(C), pages 186-230.
    3. Zapal, Jan, 2020. "Simple Markovian equilibria in dynamic spatial legislative bargaining," European Journal of Political Economy, Elsevier, vol. 63(C).
    4. Jeon, Jee Seon & Hwang, Ilwoo, 2022. "The emergence and persistence of oligarchy: A dynamic model of endogenous political power," Journal of Economic Theory, Elsevier, vol. 201(C).
    5. Hülya Eraslan & Kirill S. Evdokimov & Jan Zápal, 2022. "Dynamic Legislative Bargaining," Springer Books, in: Emin Karagözoğlu & Kyle B. Hyndman (ed.), Bargaining, chapter 0, pages 151-175, Springer.
    6. David P Baron, 2018. "Elections and durable governments in parliamentary governments," Journal of Theoretical Politics, , vol. 30(1), pages 74-118, January.
    7. Bowen, T. Renee & Anesi, Vincent, 2018. "Policy Experimentation, Redistribution and Voting Rules," CEPR Discussion Papers 12797, C.E.P.R. Discussion Papers.
    8. T. Renee Bowen & Ying Chen & H?lya Eraslan, 2014. "Mandatory versus Discretionary Spending: The Status Quo Effect," American Economic Review, American Economic Association, vol. 104(10), pages 2941-2974, October.
    9. Tasos Kalandrakis, 2016. "Pareto efficiency in the dynamic one-dimensional bargaining model," Journal of Theoretical Politics, , vol. 28(4), pages 525-536, October.
    10. Baron, David P. & Bowen, T. Renee & Nunnari, Salvatore, 2017. "Durable coalitions and communication: Public versus private negotiations," Journal of Public Economics, Elsevier, vol. 156(C), pages 1-13.
    11. Anesi, Vincent & Duggan, John, 2017. "Dynamic bargaining and stability with veto players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 30-40.
    12. Vincent Anesi & John Duggan, 2015. "Dynamic Bargaining and External Stability with Veto Players," Discussion Papers 2015-12, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    13. Marina Azzimonti & Gabriel P. Mihalache & Laura Karpuska, 2020. "Bargaining over Taxes and Entitlements," NBER Working Papers 27595, National Bureau of Economic Research, Inc.
    14. Bowen, T. Renee & Chen, Ying & Eraslan, Hülya & Zápal, Jan, 2017. "Efficiency of flexible budgetary institutions," Journal of Economic Theory, Elsevier, vol. 167(C), pages 148-176.
    15. Agranov, Marina & Cotton, Christopher & Tergiman, Chloe, 2020. "Persistence of power: Repeated multilateral bargaining with endogenous agenda setting authority," Journal of Public Economics, Elsevier, vol. 184(C).
    16. David P. Baron, 2019. "Simple dynamics of legislative bargaining: coalitions and proposal power," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 319-344, February.
    17. Vincent Anesi, 2018. "Dynamic Legislative Policy Making under Adverse Selection," Discussion Papers 2018-08, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    18. Baron, David P. & Bowen, T. Renee, 2013. "Dynamic Coalitions," Research Papers 2128, Stanford University, Graduate School of Business.
    19. Dutta, Prajit K., 2021. "Compromise is key in infinitely repeated bargaining with an Evergreen Clause," Journal of Economic Theory, Elsevier, vol. 193(C).
    20. Marina Azzimonti & Laura Karpuska & Gabriel Mihalache, 2020. "Bargaining over Mandatory Spending and Entitlements," Department of Economics Working Papers 20-02, Stony Brook University, Department of Economics.

    More about this item

    Keywords

    Bargaining; Endogenous status quo; Breakdown; Relevance to the Rubinstein bargaining game; Vanishing effect of the status quo;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary 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:ecolet:v:185:y:2019:i:c:s0165176519303489. 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.