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Two-Stage Contests with Preferences over Style

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  • Kaplan, Todd R
  • Wettstein, David

Abstract

Many grant applications have a preliminary stage where only a select group are invited to submit a full application. Similarly, procurement contracts by governments are often awarded through a two-stage procedure. We model and analyze such environments where the designer cares about the style of the application as well as its quality. The designer has the option of choosing an initial stage, where contestants can enter and learn about their desirability while the designer learns about their style. We determine closed form solutions for equilibrium outcomes and designer payoffs and use this to analyze design questions regarding whether or not a second stage is desirable, different rules for deciding who will advance, as with whether or not to communicate the number of contestants that qualify for the second stage.

Suggested Citation

  • Kaplan, Todd R & Wettstein, David, 2016. "Two-Stage Contests with Preferences over Style," MPRA Paper 73539, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:73539
    as

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    File URL: https://mpra.ub.uni-muenchen.de/73539/1/MPRA_paper_73539.pdf
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    References listed on IDEAS

    as
    1. Todd Kaplan, 2012. "Communication of preferences in contests for contracts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 487-503, October.
    2. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    3. Qiang Fu & Qian Jiao & Jingfeng Lu, 2011. "On disclosure policy in contests with stochastic entry," Public Choice, Springer, vol. 148(3), pages 419-434, September.
    4. Sheremeta, Roman M., 2010. "Experimental comparison of multi-stage and one-stage contests," Games and Economic Behavior, Elsevier, vol. 68(2), pages 731-747, March.
    5. Aner Sela, 2012. "Sequential two-prize contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 383-395, October.
    6. 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.
    7. Fu, Qiang & Jiao, Qian & Lu, Jingfeng, 2014. "Disclosure policy in a multi-prize all-pay auction with stochastic abilities," Economics Letters, Elsevier, vol. 125(3), pages 376-380.
    8. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October.
    9. repec:eee:mateco:v:70:y:2017:i:c:p:66-73 is not listed on IDEAS
    10. Sela, Aner, 2011. "Best-of-three all-pay auctions," Economics Letters, Elsevier, vol. 112(1), pages 67-70, July.
    11. Qiang Fu & Qian Jiao & Jingfeng Lu, 2015. "Contests with endogenous entry," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 387-424, May.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    contests; innovation; all-pay auctions; mechanism design.;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • 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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