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Unique equilibrium in rent-seeking contests with a continuum of types

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  • Christian Ewerhart

Abstract

It is shown that rent-seeking contests with continuous and independent type distributions possess a unique pure-strategy Nash equilibrium.

Suggested Citation

  • Christian Ewerhart, 2014. "Unique equilibrium in rent-seeking contests with a continuum of types," ECON - Working Papers 159, Department of Economics - University of Zurich.
    • Handle: RePEc:zur:econwp:159
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    File URL: https://www.zora.uzh.ch/id/eprint/96176/1/econwp159.pdf
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    References listed on IDEAS

    as
    1. Wasser, Cédric, 2013. "A note on Bayesian Nash equilibria in imperfectly discriminating contests," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 180-182.
    2. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    3. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    4. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
    5. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Zenou, Yves & Xu, Jin & Zhou, Junjie, 2019. "Networks in Conflict: A Variational Inequality Approach," CEPR Discussion Papers 13647, C.E.P.R. Discussion Papers.
    2. Eliaz, Kfir & Wu, Qinggong, 2018. "A simple model of competition between teams," Journal of Economic Theory, Elsevier, vol. 176(C), pages 372-392.
    3. Christian Ewerhart & Federico Quartieri, 2020. "Unique equilibrium in contests with incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 243-271, July.
    4. Philip Brookins & Dmitry Ryvkin, 2016. "Equilibrium existence in group contests," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 265-276, October.
    5. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Biased contests for symmetric players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 116-144.
    6. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2022. "On equilibrium existence in generalized multi-prize nested lottery contests," Journal of Economic Theory, Elsevier, vol. 200(C).
    7. Xu, Jin & Zenou, Yves & Zhou, Junjie, 2022. "Equilibrium characterization and shock propagation in conflict networks," Journal of Economic Theory, Elsevier, vol. 206(C).
    8. 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.
    9. Ksenia Shakhgildyan, 2023. "Nonparametric Identification and Estimation of Contests with Uncertainty," Working Papers 690, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    10. Ori Haimanko, 2022. "Equilibrium existence in two-player contests without absolute continuity of information," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 27-39, May.
    11. Ori Haimanko, 2021. "Bayesian Nash equilibrium existence in (almost continuous) contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1231-1258, April.
    12. Jinsoo Bae & John H. Kagel, 2022. "Selling shares to budget-constrained bidders: an experimental study of the proportional auction," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 8(1), pages 45-55, December.
    13. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.
    14. Foster, Joshua & Haley, M. Ryan, 2022. "Charity auctions as assets: Theory and simulations of fundraising risk management in mean-variance space," Socio-Economic Planning Sciences, Elsevier, vol. 83(C).
    15. Christian Ewerhart & Julia Lareida, 2018. "Voluntary disclosure in asymmetric contests," ECON - Working Papers 279, Department of Economics - University of Zurich, revised Jul 2023.
    16. Gallice, Andrea, 2017. "An approximate solution to rent-seeking contests with private information," European Journal of Operational Research, Elsevier, vol. 256(2), pages 673-684.

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    More about this item

    Keywords

    Rent-seeking; private information; pure-strategy Nash equilibrium; existence; uniqueness;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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