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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. Yizhaq Minchuk & Aner Sela, 2020. "Contests with insurance," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 1-22, June.
    2. 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.
    3. Sela, Aner, 2016. "Two-stage contests with effort-dependent rewards," CEPR Discussion Papers 11113, C.E.P.R. Discussion Papers.
    4. Ivan Pastine & Tuvana Pastine, 2006. "Politician preferences and caps on political lobbying," Working Papers 200619, School of Economics, University College Dublin.
    5. 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.
    6. 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.
    7. 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.
    8. Gadi Fibich & Arieh Gavious & Aner Sela, 2004. "All-Pay Auctions with Weakly Risk-Averse Buyers," Working Papers 2004.14, Fondazione Eni Enrico Mattei.
    9. Todd R. Kaplan & David Wettstein, 2006. "Caps on Political Lobbying: Comment," American Economic Review, American Economic Association, vol. 96(4), pages 1351-1354, September.
    10. Subhasish Chowdhury & Roman Sheremeta, 2015. "Strategically equivalent contests," Theory and Decision, Springer, vol. 78(4), pages 587-601, April.
    11. 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.
    12. Ivan Pastine & Tuvana Pastine, 2009. "Caps on Political Contributions, Monetary Penalties and Politician Preferences," Working Papers 200912, School of Economics, University College Dublin.
    13. Thomas Giebe & Paul Schweinzer, 2015. "Probabilistic procurement auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 25-46, March.
    14. Thomas Giebe & Paul Schweinzer, 2014. "All-pay-all aspects of political decision making," Public Choice, Springer, vol. 161(1), pages 73-90, October.
    15. 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.
    16. Thomas Giebe & Paul Schweinzer, 2012. "Fuzzy Price-Quality Ratio Procurement under Incomplete Information," Discussion Papers 12/26, Department of Economics, University of York.
    17. Sosung Baik & Sung-Ha Hwang, 2021. "Auction design with ambiguity: Optimality of the first-price and all-pay auctions," Papers 2110.08563, arXiv.org.
    18. 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.
    19. Bing Xu & Maxwell Pak, 2021. "Child-raising cost and fertility from a contest perspective," Public Choice, Springer, vol. 186(1), pages 9-28, January.
    20. Subhasish M. Chowdhury, 2017. "The All‐Pay Auction with Nonmonotonic Payoff," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 375-390, October.
    21. Ron Seigel, 2009. "Asymmetric Contests with Conditional Investments," Levine's Working Paper Archive 814577000000000201, David K. Levine.
    22. J. Atsu Amegashie & Edward Kutsoati, 2005. "Rematches in Boxing and Other Sporting Events," Journal of Sports Economics, , vol. 6(4), pages 401-411, November.
    23. Todd Kaplan & Aner Sela, 2022. "Second-Price Auctions with Private Entry Costs," Games, MDPI, vol. 13(5), pages 1-14, September.
    24. 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.

    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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