IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v152y2017icp79-82.html
   My bibliography  Save this article

A minimal sufficient set of procedures in a bargaining model

Author

Listed:
  • Mao, Liang
  • Zhang, Tianyu

Abstract

For a two-player bargaining model, Mao (2016) extends the alternating offers procedure of Rubinstein (1982) to more general procedures and explores which payoff outcomes are feasible, in the sense that they can be supported by some procedures as subgame perfect equilibria. In this paper, we define a special class of procedures called normalized procedures. We show that while the set of normalized procedures can yield all feasible partitions, none of its proper subsets can do so.

Suggested Citation

  • Mao, Liang & Zhang, Tianyu, 2017. "A minimal sufficient set of procedures in a bargaining model," Economics Letters, Elsevier, vol. 152(C), pages 79-82.
    • Handle: RePEc:eee:ecolet:v:152:y:2017:i:c:p:79-82
    DOI: 10.1016/j.econlet.2017.01.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176517300162
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2017.01.006?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. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
    3. 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.
    4. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    5. In, Younghwan & Serrano, Roberto, 2004. "Agenda restrictions in multi-issue bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 53(3), pages 385-399, March.
    6. Joel Watson, 1998. "Alternating-Offer Bargaining with Two-Sided Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 573-594.
    7. Danila Serra, 2008. "Bargaining for bribes under uncertainty," CSAE Working Paper Series 2008-22, Centre for the Study of African Economies, University of Oxford.
    8. Danila Serra, 2008. "Bargaining for bribes under uncertainty," Economics Series Working Papers CSAE WPS/2008-22, University of Oxford, Department of Economics.
    9. Muthoo, Abhinay, 1990. "Bargaining without commitment," Games and Economic Behavior, Elsevier, vol. 2(3), pages 291-297, September.
    10. Shaked, Avner & Sutton, John, 1984. "Involuntary Unemployment as a Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 52(6), pages 1351-1364, November.
    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. Shunsuke Hanato, 2020. "Equilibrium payoffs and proposal ratios in bargaining models," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 463-494, June.

    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. P. Jean-Jacques Herings & Harold Houba, 2022. "Costless delay in negotiations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 69-93, July.
    2. 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.
    3. Liang Mao, 2017. "Subgame perfect equilibrium in a bargaining model with deterministic procedures," Theory and Decision, Springer, vol. 82(4), pages 485-500, April.
    4. Venkat Venkatasubramanian & Yu Luo, 2018. "How much income inequality is fair? Nash bargaining solution and its connection to entropy," Papers 1806.05262, arXiv.org.
    5. Ana Mauleon & Vincent Vannetelbosch, 2005. "Strategic union delegation and strike activity," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(1), pages 149-173, February.
    6. 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.
    7. Harstad, Bård, 2023. "Pledge-and-review bargaining," Journal of Economic Theory, Elsevier, vol. 207(C).
    8. Alós-Ferrer, Carlos & Ritzberger, Klaus, 2021. "Multi-lateral strategic bargaining without stationarity," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    9. S Nageeb Ali & B Douglas Bernheim & Xiaochen Fan, 2019. "Predictability and Power in Legislative Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 500-525.
    10. Mao, Liang, 2015. "Subgame Perfect Equilibrium in a Bargaining Model with Deterministic Procedures," MPRA Paper 67859, University Library of Munich, Germany.
    11. Manzini, Paola & Mariotti, Marco, 2005. "Alliances and negotiations," Journal of Economic Theory, Elsevier, vol. 121(1), pages 128-141, March.
    12. Américo Mendes, 2005. "A Game Theoretical Model of Land Contract Choice," Game Theory and Information 0503001, University Library of Munich, Germany.
    13. Mauleon, Ana & Vannetelbosch, Vincent J., 2003. "Market competition and strike activity," International Journal of Industrial Organization, Elsevier, vol. 21(5), pages 737-758, May.
    14. Britz, Volker & Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2014. "On the convergence to the Nash bargaining solution for action-dependent bargaining protocols," Games and Economic Behavior, Elsevier, vol. 86(C), pages 178-183.
    15. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    16. Vicente Calabuig Alcantara, 1997. "Ineficiencias en las negociaciones entre dos agentes completamente informados," Working Papers. Serie EC 1997-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    17. Björn Brügemann & Pieter Gautier & Guido Menzio, 2019. "Intra Firm Bargaining and Shapley Values," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 564-592.
    18. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    19. Matthew Backus & Thomas Blakee & Brad Larsen & Steven Tadelis, 2020. "Sequential Bargaining in the Field: Evidence from Millions of Online Bargaining Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1319-1361.
    20. James S. Costain, 1998. "On the quantitative importance of wage bargaining models," Economics Working Papers 262, Department of Economics and Business, Universitat Pompeu Fabra.

    More about this item

    Keywords

    Strategic bargaining; Subgame perfect equilibrium; Normalized procedures; Minimal sufficient set;
    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:ecolet:v:152:y:2017:i:c:p:79-82. 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.