IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2302.09427.html
   My bibliography  Save this paper

Multiplayer War of Attrition with Asymmetric Private Information

Author

Listed:
  • Hongcheng Li
  • Jialu Zhang

Abstract

This paper studies a war of attrition game in the setting of public good provision that combines three elements: (i) multiple players, (ii) incomplete information, and (iii) ex-ante asymmetry. In the unique equilibrium, asymmetry leads to a stratified behavior pattern where one player provides the public good instantly with a positive probability while each of the other players has a player-specific strict waiting time, before which even his highest type will not provide the good. Comparative statics show that a player with less patience, lower cost of provision, and higher reputation in value (expressed in a form of hazard rate) provides the good type-wise uniformly faster. In large societies, the cost of delay is mainly determined by the highest type of the instant-exit player.

Suggested Citation

  • Hongcheng Li & Jialu Zhang, 2023. "Multiplayer War of Attrition with Asymmetric Private Information," Papers 2302.09427, arXiv.org, revised Feb 2024.
    • Handle: RePEc:arx:papers:2302.09427
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2302.09427
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    2. Pankaj Ghemawat & Barry Nalebuff, 1990. "The Devolution of Declining Industries," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 167-186.
    3. 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.
    4. Bliss, Christopher & Nalebuff, Barry, 1984. "Dragon-slaying and ballroom dancing: The private supply of a public good," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 1-12, November.
    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. Li, Hongcheng, 2019. "Multi-Player War of Attrition with Asymmetric Incomplete Information," MPRA Paper 109511, University Library of Munich, Germany, revised 31 Aug 2021.
    2. 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.
    3. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
    4. Goldlücke, Susanne & Tröger, Thomas, 2020. "The multiple-volunteers principle," CEPR Discussion Papers 15580, C.E.P.R. Discussion Papers.
    5. Bitzer, Jurgen & Schrettl, Wolfram & Schroder, Philipp J.H., 2007. "Intrinsic motivation in open source software development," Journal of Comparative Economics, Elsevier, vol. 35(1), pages 160-169, March.
    6. Marc Bilodeau & Al Slivinski, 1998. "Rational Nonprofit Entrepreneurship," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 7(4), pages 551-571, December.
    7. Bilodeau, Marc & Childs, Jason & Mestelman, Stuart, 2004. "Volunteering a public service: an experimental investigation," Journal of Public Economics, Elsevier, vol. 88(12), pages 2839-2855, December.
    8. repec:ebl:ecbull:v:3:y:2002:i:16:p:1-8 is not listed on IDEAS
    9. Stenborg, Markku, 2003. "Waiting for F/OSS: Coordinating the Production of Free/Open Source Software," Discussion Papers 884, The Research Institute of the Finnish Economy.
    10. Messner, Matthias & Polborn, Mattias K., 2004. "Paying politicians," Journal of Public Economics, Elsevier, vol. 88(12), pages 2423-2445, December.
      • Matthias Messner & Mattias Polborn, 2003. "Paying Politicians," Working Papers 246, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    11. Hannah Hörisch & Oliver Kirchkamp, 2010. "Less fighting than expected," Public Choice, Springer, vol. 144(1), pages 347-367, July.
    12. Susanne Goldlücke & Thomas Tröger, 2018. "Assigning an unpleasant task without payment," CRC TR 224 Discussion Paper Series crctr224_2018_003, University of Bonn and University of Mannheim, Germany.
    13. Panu Poutvaara & Tuomas Takalo, 2007. "Candidate quality," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 14(1), pages 7-27, February.
    14. LaCasse, Chantale & Ponsati, Clara & Barham, Vicky, 2002. "Chores," Games and Economic Behavior, Elsevier, vol. 39(2), pages 237-281, May.
    15. Yixuan Shi, 2022. "Dynamic Volunteer's Dilemma with Procrastinators," Working Papers tax-mpg-rps-2022-17, Max Planck Institute for Tax Law and Public Finance.
    16. Subhasish M. Chowdhury & Iryna Topolyan, 2015. "The Group All-Pay Auction with Heterogeneous Impact Functions," University of East Anglia Applied and Financial Economics Working Paper Series 069, School of Economics, University of East Anglia, Norwich, UK..
    17. Stefano Barbieri & Kai A. Konrad & David A. Malueg, 2020. "Preemption contests between groups," RAND Journal of Economics, RAND Corporation, vol. 51(3), pages 934-961, September.
    18. Georgiadis, George & Kim, Youngsoo & Kwon, H. Dharma, 2022. "The absence of attrition in a war of attrition under complete information," Games and Economic Behavior, Elsevier, vol. 131(C), pages 171-185.
    19. Foster Joshua, 2018. "Wars of Attrition with Endogenously Determined Budget Constraints," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-10, July.
    20. Bergstrom, Ted & Garratt, Rodney & Leo, Greg, 2019. "Let me, or let George? Motives of competing altruists," Games and Economic Behavior, Elsevier, vol. 118(C), pages 269-283.
    21. Lindrooth, Richard C. & Lo Sasso, Anthony T. & Bazzoli, Gloria J., 2003. "The effect of urban hospital closure on markets," Journal of Health Economics, Elsevier, vol. 22(5), pages 691-712, September.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2302.09427. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.