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The best-shot all-pay (group) auction with complete information

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  • Stefano Barbieri

    ()

  • David Malueg

    ()

  • Iryna Topolyan

    ()

Abstract

We analyze an all-pay group contest in which individual members’ efforts are aggregated via the best-shot technology and the prize is a public good for the winning group. The interplay of within-group free-riding and across-group competition allows for a wide variety of equilibria, according to how well groups overcome internal free-riding. In contrast with the existing literature, we derive equilibria of a symmetric model in which multiple agents per group are active. Our findings differ qualitatively from those of the individualistic all-pay auction: rents are not necessarily dissipated in equilibrium, total expected efforts vary across equilibria, and participation is expected to be greater. Moreover, equilibria with greater symmetry of behavior within a group are shown to have more “wasted” effort but also greater payoffs as overall efforts are lower. In contrast to standard economic intuition, free-riding can be beneficial for players as it reduces competition among groups. Examples of asymmetric group contests are also studied. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Stefano Barbieri & David Malueg & Iryna Topolyan, 2014. "The best-shot all-pay (group) auction with complete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(3), pages 603-640, November.
  • Handle: RePEc:spr:joecth:v:57:y:2014:i:3:p:603-640
    DOI: 10.1007/s00199-014-0847-6
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    Citations

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    Cited by:

    1. Arye L. Hillman & Ngo Van Long, 2017. "Rent Seeking: The Social Cost of Contestable Benefits," CESifo Working Paper Series 6462, CESifo.
    2. Bastani, Spencer & Giebe, Thomas & Gürtler, Oliver, 2019. "A general framework for studying contests," MPRA Paper 97363, University Library of Munich, Germany.
    3. Barbieri, Stefano & Malueg, David A., 2016. "Private-information group contests: Best-shot competition," Games and Economic Behavior, Elsevier, vol. 98(C), pages 219-234.
    4. Bose, Gautam & Konrad, Kai A., 2020. "Devil take the hindmost: Deflecting attacks to other defenders," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    5. Crutzen, Benoît S Y & Flamand, Sabine & Sahuguet, Nicolas, 2020. "A model of a team contest, with an application to incentives under list proportional representation," Journal of Public Economics, Elsevier, vol. 182(C).
    6. 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.
    7. 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..
    8. Eliaz, Kfir & Wu, Qinggong, 2018. "A simple model of competition between teams," Journal of Economic Theory, Elsevier, vol. 176(C), pages 372-392.
    9. Arye Hillman & Ngo Van Long, 2017. "The social cost of contestable benefits," CIRANO Working Papers 2017s-11, CIRANO.
    10. Stefano Barbieri & Kai A. Konrad & David A. Malueg, 2019. "Preemption contests between groups," Working Papers tax-mpg-rps-2019-09, Max Planck Institute for Tax Law and Public Finance.
    11. Baik, Kyung Hwan & Jung, Hanjoon Michael, 2021. "Contests with multiple alternative prizes: Public-good/bad prizes and externalities," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 103-116.
    12. Cardona, Daniel & Rubí-Barceló, Antoni, 2016. "Group-contests with endogenous claims," European Journal of Political Economy, Elsevier, vol. 44(C), pages 97-111.
    13. Subhasish M. Chowdhury & Iryna Topolyan, 2016. "Best-shot versus weakest-link in political lobbying: an application of group all-pay auction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 959-971, December.
    14. Barbieri, Stefano & Kovenock, Dan & Malueg, David A. & Topolyan, Iryna, 2019. "Group contests with private information and the “Weakest Link”," Games and Economic Behavior, Elsevier, vol. 118(C), pages 382-411.

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    More about this item

    Keywords

    All-pay auction; Group contest; Free-riding; Volunteer’s dilemma; Group-size paradox; Private provision of public goods; C72; D62; D72; H41;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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