IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v18y2018i1p9n10.html
   My bibliography  Save this article

Symmetric Equilibria in a Cost-Averting War of Attrition Requiring Minimum Necessary Conceders

Author

Listed:
  • Kim Geofferey Jiyun

    (Department of Mathematics, Korea University 145, Anam-ro, Seongbuk-gu, Seoul, 02841, Korea)

  • Kim Bara

    (Department of Mathematics, Korea University 145, Anam-ro, Seongbuk-gu, Seoul, 02841, Korea)

Abstract

This paper provides an analysis of a cost-averting war of attrition with minimum necessary conceders. All symmetric stationary Nash equilibria are characterized. The multiplicity of equilibria has called for further refinements. We show that there exists a unique symmetric stationary trembling hand perfect equilibrium. Comparative statics results of the trembling hand perfect equilibrium are provided. This paper’s model is motivated by the problem of delayed public goods provisions in collective action settings. Augmenting the number of minimum necessary conceders can curtail delays.

Suggested Citation

  • Kim Geofferey Jiyun & Kim Bara, 2018. "Symmetric Equilibria in a Cost-Averting War of Attrition Requiring Minimum Necessary Conceders," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(1), pages 1-9, January.
    • Handle: RePEc:bpj:bejtec:v:18:y:2018:i:1:p:9:n:10
    DOI: 10.1515/bejte-2016-0109
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/bejte-2016-0109
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/bejte-2016-0109?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. Leslie M. Marx & Steven A. Matthews, 2000. "Dynamic Voluntary Contribution to a Public Project," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 327-358.
    2. Bilodeau, Marc & Slivinski, Al, 1996. "Toilet cleaning and department chairing: Volunteering a public service," Journal of Public Economics, Elsevier, vol. 59(2), pages 299-308, February.
    3. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    4. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    5. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
    6. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    7. Kennan, John & Wilson, Robert, 1989. "Strategic Bargaining Models and Interpretation of Strike Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages 87-130, Supplemen.
    8. Gradstein, Mark, 1992. "Time Dynamics and Incomplete Information in the Private Provision of Public Goods," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 581-597, June.
    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. May Elsayyad & Florian Morath, 2016. "Technology Transfers For Climate Change," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(3), pages 1057-1084, August.
    2. Amihai Glazer & Stef Proost, 2017. "Free riding on successors, delay, and extremism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 887-900, April.
    3. Florian Morath, 2013. "Volunteering and the strategic value of ignorance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(1), pages 99-131, June.
    4. Hannah Hörisch & Oliver Kirchkamp, 2010. "Less fighting than expected," Public Choice, Springer, vol. 144(1), pages 347-367, July.
    5. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
    6. Parimal Kanti Bag & Santanu Roy, 2008. "Repeated Charitable Contributions under Incomplete Information," Economic Journal, Royal Economic Society, vol. 118(525), pages 60-91, January.
    7. Alessandro Bonatti & Johannes Horner, 2011. "Collaborating," American Economic Review, American Economic Association, vol. 101(2), pages 632-663, April.
    8. Pavel Diev & Walid Hichri, 2008. "Dynamic voluntary contributions to a discrete public good: Experimental evidence," Economics Bulletin, AccessEcon, vol. 3(23), pages 1-11.
    9. Parimal Bag & Santanu Roy, 2011. "On sequential and simultaneous contributions under incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 119-145, February.
    10. repec:ebl:ecbull:v:3:y:2008:i:23:p:1-11 is not listed on IDEAS
    11. Geraghty, Thomas M. & Wiseman, Thomas, 2008. "Wage strikes in 1880s America: A test of the war of attrition model," Explorations in Economic History, Elsevier, vol. 45(4), pages 303-326, September.
    12. Leslie M. Marx & Steven A. Matthews, 2000. "Dynamic Voluntary Contribution to a Public Project," Review of Economic Studies, Oxford University Press, vol. 67(2), pages 327-358.
    13. Alwine Mohnen & Kathrin Pokorny & Dirk Sliwka, 2008. "Transparency, Inequity Aversion, and the Dynamics of Peer Pressure in Teams: Theory and Evidence," Journal of Labor Economics, University of Chicago Press, vol. 26(4), pages 693-720, October.
    14. Aghamolla, Cyrus & Hashimoto, Tadashi, 2020. "Information arrival, delay, and clustering in financial markets with dynamic freeriding," Journal of Financial Economics, Elsevier, vol. 138(1), pages 27-52.
    15. Georgiadis, George, 2017. "Deadlines and infrequent monitoring in the dynamic provision of public goods," Journal of Public Economics, Elsevier, vol. 152(C), pages 1-12.
    16. Bingchao Huangfu & Gagan Ghosh & Heng Liu, 2023. "Resource inequality in the war of attrition," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 33-61, March.
    17. Altınok, Ahmet & Yılmaz, Murat, 2018. "Dynamic voluntary contribution to a public project under time inconsistency," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 114-140.
    18. Laraki, Rida & Solan, Eilon & Vieille, Nicolas, 2005. "Continuous-time games of timing," Journal of Economic Theory, Elsevier, vol. 120(2), pages 206-238, February.
    19. T. Renee Bowen & George Georgiadis & Nicolas S. Lambert, 2019. "Collective Choice in Dynamic Public Good Provision," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 243-298, February.
    20. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 543-566.
    21. Cason, Timothy N. & Zubrickas, Robertas, 2019. "Donation-based crowdfunding with refund bonuses," European Economic Review, Elsevier, vol. 119(C), pages 452-471.

    More about this item

    Keywords

    Bellman equation; Nash equilibrium; public economics; trembling hand perfection; war of attrition;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining 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:bpj:bejtec:v:18:y:2018:i:1:p:9:n:10. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.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.