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All-pay auctions with endogenous rewards

Author

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  • BOS, Olivier

    (PSE-Paris School of Economics, France)

  • RANGER, Martin

    (University of Bonn, Germany)

Abstract

This paper examines a perfectly discriminating contest (all-pay auction) with two asymmetric players. Valuations are endogenous and depend on the effort each player invests in the contest. The shape of the valuation function is common knowledge and differs between the contestants. Some key properties of R&D races, lobbying activity and sport contests are captured by this framework. Once the unique equilibrium in mixed strategies analyzed, we derive a closed form of the expected expenditure of both players. We characterize the expected expenditure by the means of incomplete Beta functions. We focus on unordered valuations.

Suggested Citation

  • BOS, Olivier & RANGER, Martin, 2009. "All-pay auctions with endogenous rewards," LIDAM Discussion Papers CORE 2009059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2009059
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2009.html
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    References listed on IDEAS

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    1. repec:bla:jindec:v:50:y:2002:i:4:p:417-30 is not listed on IDEAS
    2. Chen Cohen & Todd R. Kaplan & Aner Sela, 2008. "Optimal rewards in contests," RAND Journal of Economics, RAND Corporation, vol. 39(2), pages 434-451, June.
    3. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    4. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    5. Subhashish Modak Chowdhury, 2009. "The all-pay auction with non-monotonic payoff," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-09, School of Economics, University of East Anglia, Norwich, UK..
    6. Amegashie, J. Atsu, 2001. "An all-pay auction with a pure-strategy equilibrium," Economics Letters, Elsevier, vol. 70(1), pages 79-82, January.
    7. Kaplan, Todd R. & Luski, Israel & Wettstein, David, 2003. "Innovative activity and sunk cost," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1111-1133, October.
    8. Dario Sacco & Armin Schmutzler, 2008. "All-Pay Auctions with Negative Prize Externalities: Theory and Experimental Evidence," SOI - Working Papers 0806, Socioeconomic Institute - University of Zurich.
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    Cited by:

    1. Olivier Bos & Martin Ranger, 2014. "All-Pay Auctions with Polynomial Rewards," Annals of Economics and Statistics, GENES, issue 115-116, pages 361-377.
    2. Nicola Dimitri, 2012. "Service On the “Exclusion Principle” in all-pay auctions with incomplete information," Working Papers 2012/50, Maastricht School of Management.

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    More about this item

    Keywords

    all-pay auctions; contests;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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