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Contests with productive effort

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  • Ron Siegel

Abstract

I consider competitions in which, conditional on winning or losing, the effort exerted by a competitor does not necessarily decrease his payoff. This happens, for example, in competitions for promotions in which workers are intrinsically motivated, and in research and development races in which better performance implies a higher payoff from winning. I characterize players’ equilibrium payoffs in closed form, thereby generalizing Siegel (Econometrica 77(1):71–92, 2009 ) payoff result to contests in which players’ payoff functions are non-monotonic. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Ron Siegel, 2014. "Contests with productive effort," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 515-523, August.
    • Handle: RePEc:spr:jogath:v:43:y:2014:i:3:p:515-523
    DOI: 10.1007/s00182-013-0393-7
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    References listed on IDEAS

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    1. 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.
    2. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, January.
    3. Ron Siegel, 2010. "Asymmetric Contests with Conditional Investments," American Economic Review, American Economic Association, vol. 100(5), pages 2230-2260, December.
    4. Subhasish M. Chowdhury, 2017. "The All‐Pay Auction with Nonmonotonic Payoff," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 375-390, October.
    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. 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.
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    Cited by:

    1. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2019. "Efficiency-based measures of inequality," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 60-69.
    2. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    3. Subhasish M. Chowdhury, 2017. "The All‐Pay Auction with Nonmonotonic Payoff," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 375-390, October.
    4. Andrea Canidio & Vincent Danos, 2023. "Commitment Against Front Running Attacks," Papers 2301.13785, arXiv.org, revised Jul 2023.
    5. Duvocelle, Benoit & Mourmans, Niels, 2022. "Contests with discontinuous payoffs," Journal of Mathematical Economics, Elsevier, vol. 98(C).
    6. Damian S. Damianov & Shane Sanders & Anil Yildizparlak, 2018. "Asymmetric endogenous prize contests," Theory and Decision, Springer, vol. 85(3), pages 435-453, October.
    7. Zhu, Feng, 2021. "On optimal favoritism in all-pay contests," Journal of Mathematical Economics, Elsevier, vol. 95(C).

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