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Multi-Player War of Attrition with Asymmetric Incomplete Information

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  • Li, Hongcheng

Abstract

This paper models a multi-player war of attrition game with asymmetric incomplete information on the private provision of one public good to investigate the effect of ex-ante asymmetry. In the unique equilibrium, asymmetry leads to a stratified behavior pattern such that one player provides the good instantly with a positive probability, while each of the others has no probability of provision before a certain moment which is idiosyncratic. Comparative statics show that one with less patience, lower cost of provision, and higher reputation in valuation provides uniformly faster. The cost of delay is mainly determined by the strongest type, namely the highest type of the instant-exit player. This paper considers two types of introduction of asymmetry: raising the strongest type tends to improve efficiency, whereas controlling the strongest type aligns the effect of asymmetry with the sign of an intuitive measure of the cost of symmetry.

Suggested Citation

  • Li, Hongcheng, 2019. "Multi-Player War of Attrition with Asymmetric Incomplete Information," MPRA Paper 109511, University Library of Munich, Germany, revised 31 Aug 2021.
    • Handle: RePEc:pra:mprapa:109511
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    File URL: https://mpra.ub.uni-muenchen.de/109511/1/MPRA_paper_109511.pdf
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    References listed on IDEAS

    as
    1. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
    2. Ponsati, Clara & Sakovics, Jozsef, 1996. "Multiperson Bargaining over Two Alternatives," Games and Economic Behavior, Elsevier, vol. 12(2), pages 226-244, February.
    3. Casella, Alessandra & Eichengreen, Barry, 1996. "Can Foreign Aid Accelerate Stabilisation?," Economic Journal, Royal Economic Society, vol. 106(436), pages 605-619, May.
    4. Sahuguet, Nicolas, 2006. "Volunteering for heterogeneous tasks," Games and Economic Behavior, Elsevier, vol. 56(2), pages 333-349, August.
    5. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
    6. Ponsati C. & Sakovics, J., 1996. "The war of attrition with incomplete information," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 54-54, February.
    7. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    8. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    9. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    10. Powell, Robert, 2017. "Taking Sides in Wars of Attrition," American Political Science Review, Cambridge University Press, vol. 111(2), pages 219-236, May.
    11. 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.
    12. Alesina, Alberto & Drazen, Allan, 1991. "Why Are Stabilizations Delayed?," American Economic Review, American Economic Association, vol. 81(5), pages 1170-1188, December.
    13. Johannes Hörner & Nicolas Sahuguet, 2011. "A war of attrition with endogenous effort levels," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 1-27, May.
    14. 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.
    15. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    16. 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.
    17. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    18. Michael D. Whinston, 1988. "Exit with Multiplant Firms," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 568-588, Winter.
    19. Kambe, Shinsuke, 2019. "An N-person war of attrition with the possibility of a non-compromising type," Theoretical Economics, Econometric Society, vol. 14(3), July.
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    More about this item

    Keywords

    war of attrition; public good; ex-ante asymmetry; multiple players; incomplete information;
    All these keywords.

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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