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All-pay auctions with endogenous rewards

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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.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2009059.

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Date of creation: 01 Sep 2009
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Handle: RePEc:cor:louvco:2009059

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Keywords: all-pay auctions; contests;

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References

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  1. Kaplan, T.R. & Luski, I. & Wettstein, D., 2000. "Innovative Activity and Sunk Cost," Papers 2000-6, Tel Aviv.
  2. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "The All-Pay Auction With Complete Information," Purdue University Economics Working Papers 1007, Purdue University, Department of Economics.
  3. Chen Cohen & Todd R. Kaplan & Aner Sela, 2008. "Optimal rewards in contests," RAND Journal of Economics, RAND Corporation, vol. 39(2), pages 434-451.
  4. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, 03.
  5. Amegashie, J. Atsu, 2001. "An all-pay auction with a pure-strategy equilibrium," Economics Letters, Elsevier, vol. 70(1), pages 79-82, January.
  6. Todd Kaplan, 2001. "All-Pay Auctions with Variable Rewards," Discussion Papers 0109, Exeter University, Department of Economics.
  7. 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..
  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. Nicola Dimitri, 2012. "Service On the “Exclusion Principle” in all-pay auctions with incomplete information," Working Papers 2012/50, Maastricht School of Management.
  2. Bos, Olivier & Ranger, Martin, 2013. "All-Pay Auctions with Polynomial Rewards," MPRA Paper 47587, University Library of Munich, Germany.

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