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All-pay auctions with endogenous rewards

Author

Listed:
  • 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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    Cited by:

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

    More about this item

    Keywords

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    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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