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All–Pay Auctions with Variable Rewards

Author

Listed:
  • Todd Kaplan
  • Israel Luski
  • Aner Sela
  • David Wettstein

Abstract

We study all–pay auctions with variable rewards under incomplete information. In standard models, a reward depends on a bidder’s privately known type; however, in our model it is also a function of his bid. We show that in such models there is a potential for paradoxical behavior where a reduction in the rewards or an increase in costs may increase the expected sum of bids or alternatively the expected highest bid.

Suggested Citation

  • Todd Kaplan & Israel Luski & Aner Sela & David Wettstein, 2002. "All–Pay Auctions with Variable Rewards," Journal of Industrial Economics, Wiley Blackwell, vol. 50(4), pages 417-430, December.
    • Handle: RePEc:bla:jindec:v:50:y:2002:i:4:p:417-430
    DOI: 10.1111/1467-6451.00184
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    Cited by:

    1. Sela, Aner, 2016. "Two-stage contests with effort-dependent rewards," CEPR Discussion Papers 11113, C.E.P.R. Discussion Papers.
    2. J. Atsu Amegashie & Edward Kutsoati, 2005. "Rematches in Boxing and Other Sporting Events," Journal of Sports Economics, , vol. 6(4), pages 401-411, November.
    3. Subhasish Chowdhury & Roman Sheremeta, 2015. "Strategically equivalent contests," Theory and Decision, Springer, vol. 78(4), pages 587-601, April.
    4. Thomas Giebe & Paul Schweinzer, 2015. "Probabilistic procurement auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 25-46, March.
    5. Thomas Giebe & Paul Schweinzer, 2014. "All-pay-all aspects of political decision making," Public Choice, Springer, vol. 161(1), pages 73-90, October.
    6. Bing Xu & Maxwell Pak, 2021. "Child-raising cost and fertility from a contest perspective," Public Choice, Springer, vol. 186(1), pages 9-28, January.
    7. Todd Kaplan & David Wettstein, 2015. "The optimal design of rewards in contests," Review of Economic Design, Springer;Society for Economic Design, vol. 19(4), pages 327-339, December.
    8. Zhang, Junfu, 2011. "Interjurisdictional competition for FDI: The case of China's "development zone fever"," Regional Science and Urban Economics, Elsevier, vol. 41(2), pages 145-159, March.
    9. 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.
    10. Ivan Pastine & Tuvana Pastine, 2009. "Caps on Political Contributions, Monetary Penalties and Politician Preferences," Working Papers 200912, School of Economics, University College Dublin.
    11. Subhasish M. Chowdhury, 2017. "The All‐Pay Auction with Nonmonotonic Payoff," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 375-390, October.
    12. Yizhaq Minchuk & Aner Sela, 2020. "Contests with insurance," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 1-22, June.
    13. Pastine, Tuvana & Pastine, Ivan, 2006. "Politician Preferences and Caps on Political Lobbying," CEPR Discussion Papers 5913, C.E.P.R. Discussion Papers.
    14. Sosung Baik & Sung-Ha Hwang, 2021. "Auction design with ambiguity: Optimality of the first-price and all-pay auctions," Papers 2110.08563, arXiv.org.
    15. Todd Kaplan & Aner Sela, 2022. "Second-Price Auctions with Private Entry Costs," Games, MDPI, vol. 13(5), pages 1-14, September.
    16. Prokopovych, Pavlo & Yannelis, Nicholas C., 2023. "On monotone pure-strategy Bayesian-Nash equilibria of a generalized contest," Games and Economic Behavior, Elsevier, vol. 140(C), pages 348-362.
    17. Thomas Giebe & Paul Schweinzer, 2012. "Fuzzy Price-Quality Ratio Procurement under Incomplete Information," Discussion Papers 12/26, Department of Economics, University of York.
    18. Luke M. Froeb & Bernhard Ganglmair & Steven Tschantz, 2016. "Adversarial Decision Making: Choosing between Models Constructed by Interested Parties," Journal of Law and Economics, University of Chicago Press, vol. 59(3), pages 527-548.
    19. Vladimir Petkov, 2023. "Prize formation and sharing in multi-stage contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 259-289, January.
    20. Gadi Fibich & Arieh Gavious & Aner Sela, 2004. "All-Pay Auctions with Weakly Risk-Averse Buyers," Working Papers 2004.14, Fondazione Eni Enrico Mattei.
    21. Gadi Fibich & Arieh Gavious & Aner Sela, 2006. "All-pay auctions with risk-averse players," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 583-599, November.
    22. Ron Seigel, 2009. "Asymmetric Contests with Conditional Investments," Levine's Working Paper Archive 814577000000000201, David K. Levine.
    23. Beker, Pablo F. & Hernando-Veciana, Ángel, 2011. "Persistent markups in bidding markets with financial constraints," UC3M Working papers. Economics we1133, Universidad Carlos III de Madrid. Departamento de Economía.
    24. Todd R. Kaplan & David Wettstein, 2006. "Caps on Political Lobbying: Comment," American Economic Review, American Economic Association, vol. 96(4), pages 1351-1354, September.

    More about this item

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

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