IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v48y2019i1d10.1007_s00182-018-00657-x.html
   My bibliography  Save this article

The effects of third-party transfers in sequential anchored bargaining

Author

Listed:
  • Suchan Chae

    (Korea Advanced Institute of Science and Technology)

  • Seho Kim

    (University of Maryland)

Abstract

We analyze a bargaining game where an anchor player bargains sequentially with n non-anchor players over the division of a pie in the presence of third-party transfers and show that there exists a unique perfect equilibrium. A lump-sum transfer is jointly shared by all players, while a transfer proportional to a player’s share affects only the party that has to make that transfer. When lump-sum transfers are zero, the anchor player and each non-anchor player bargain as if there is no further bargaining. It turns out that the anchor player and the last non-anchor player are in the most disadvantageous position with our bargaining protocol.

Suggested Citation

  • Suchan Chae & Seho Kim, 2019. "The effects of third-party transfers in sequential anchored bargaining," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 143-155, March.
  • Handle: RePEc:spr:jogath:v:48:y:2019:i:1:d:10.1007_s00182-018-00657-x
    DOI: 10.1007/s00182-018-00657-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-018-00657-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00182-018-00657-x?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. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Chae, Suchan, 2002. "Tax incidence with bargaining," Economics Letters, Elsevier, vol. 77(2), pages 199-204, October.
    4. Genicot, Garance & Ray, Debraj, 2006. "Contracts and externalities: How things fall apart," Journal of Economic Theory, Elsevier, vol. 131(1), pages 71-100, November.
    5. Chae, Suchan & Yang, Jeong-Ae, 1988. "The unique perfect equilibrium of an n-person bargaining game," Economics Letters, Elsevier, vol. 28(3), pages 221-223.
    6. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    7. Matias Iaryczower & Santiago Oliveros, 2017. "Competing for Loyalty: The Dynamics of Rallying Support," American Economic Review, American Economic Association, vol. 107(10), pages 2990-3005, October.
    8. John Sutton, 1986. "Non-Cooperative Bargaining Theory: An Introduction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 709-724.
    9. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    10. Cai, Hongbin, 2000. "Delay in Multilateral Bargaining under Complete Information," Journal of Economic Theory, Elsevier, vol. 93(2), pages 260-276, August.
    11. Xiao, Jun, 2018. "Bargaining orders in a multi-person bargaining game," Games and Economic Behavior, Elsevier, vol. 107(C), pages 364-379.
    12. Jun Xiao, 2012. "Bargaining Order in a Multi-Person Bargaining Game," Department of Economics - Working Papers Series 1150, The University of Melbourne.
    13. Jihong Lee & Qingmin Liu, 2013. "Gambling Reputation: Repeated Bargaining With Outside Options," Econometrica, Econometric Society, vol. 81(4), pages 1601-1672, July.
    14. Vijay Krishna & Roberto Serrano, 1996. "Multilateral Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(1), pages 61-80.
    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. Johannes Münster & Markus Reisinger, 2021. "Sequencing Bilateral Negotiations with Externalities," ECONtribute Discussion Papers Series 096, University of Bonn and University of Cologne, Germany.
    2. Suh, Sang-Chul & Wen, Quan, 2006. "Multi-agent bilateral bargaining and the Nash bargaining solution," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 61-73, February.
    3. Sang-Chul Suh & Quan Wen, 2009. "A multi-agent bilateral bargaining model with endogenous protocol," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 203-226, August.
    4. 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.
    5. Sang-Chul Suh & Quan Wen, 2003. "Multi-Agent Bilateral Bargaining with Endogenous Protocol," Vanderbilt University Department of Economics Working Papers 0305, Vanderbilt University Department of Economics.
    6. Akira Okada, 2015. "Cooperation and Institution in Games," The Japanese Economic Review, Japanese Economic Association, vol. 66(1), pages 1-32, March.
    7. Spulber, Daniel F., 2016. "Patent licensing and bargaining with innovative complements and substitutes," Research in Economics, Elsevier, vol. 70(4), pages 693-713.
    8. Klaus Kultti & Hannu Vartiainen, 2010. "Multilateral non-cooperative bargaining in a general utility space," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(4), pages 677-689, October.
    9. Harstad, Bård, 2023. "Pledge-and-review bargaining," Journal of Economic Theory, Elsevier, vol. 207(C).
    10. Marco Rogna, 2022. "The Burning Coalition Bargaining Model," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 735-768, October.
    11. Harstad, Bård, 2021. "A Theory of Pledge-and-Review Bargaining," Memorandum 5/2022, Oslo University, Department of Economics, revised 21 Jun 2021.
    12. Alejandro Caparrós, 2016. "Bargaining and International Environmental Agreements," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 5-31, September.
    13. Uyanik, Metin & Yengin, Duygu, 2023. "Expropriation power in private dealings: Quota rule in collective sales," Games and Economic Behavior, Elsevier, vol. 141(C), pages 548-580.
    14. Chen, Ying & Zápal, Jan, 2022. "Sequential vote buying," Journal of Economic Theory, Elsevier, vol. 205(C).
    15. Armando Gomes, "undated". "A Theory of Negotiations and Formation of Coalitions," Rodney L. White Center for Financial Research Working Papers 21-99, Wharton School Rodney L. White Center for Financial Research.
    16. Armo Gomes, "undated". "A Theory of Negotiation and Formation of Coalition," Penn CARESS Working Papers f0f956747161c96ffb6e79d05, Penn Economics Department.
    17. Maurya, Amit Kumar, 2018. "Bargaining order in multilateral bargaining with imperfect compliments," MPRA Paper 89583, University Library of Munich, Germany.
    18. Gantner, Anita & Horn, Kristian & Kerschbamer, Rudolf, 2016. "Fair and efficient division through unanimity bargaining when claims are subjective," Journal of Economic Psychology, Elsevier, vol. 57(C), pages 56-73.
    19. Joalland, Olivier & Pereau, Jean-Christophe & Rambonilaza, Tina, 2019. "Bargaining local compensation payments for the installation of new power transmission lines," Energy Economics, Elsevier, vol. 80(C), pages 75-85.
    20. Feltovich, Nick & Swierzbinski, Joe, 2011. "The role of strategic uncertainty in games: An experimental study of cheap talk and contracts in the Nash demand game," European Economic Review, Elsevier, vol. 55(4), pages 554-574, May.

    More about this item

    Keywords

    Sequential bargaining; Anchored bargaining; Tax incidence;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:spr:jogath:v:48:y:2019:i:1:d:10.1007_s00182-018-00657-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.