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The Stability of Dynamic Contests with Asymmetric and Endogenous Prizes

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  • Frederik Schmidt

    (University of Mainz)

Abstract

The paper develops a simple theoretical framework for analyzing repeated contests. At each stage of the infinitely repeated game, a Tullock contest is played by two players. We consider local stability of the Nash equilibrium with respect to adjustment speed and the level of the prize. The model is extended to an asymmetric valuation of the prize and to the case with an endogenous prize, where the level of the prize is influenced by the investments of the players.

Suggested Citation

  • Frederik Schmidt, 2008. "The Stability of Dynamic Contests with Asymmetric and Endogenous Prizes," Economics Bulletin, AccessEcon, vol. 3(4), pages 1-9.
    • Handle: RePEc:ebl:ecbull:eb-07c70037
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    References listed on IDEAS

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    1. Agiza, H.N. & Elsadany, A.A., 2003. "Nonlinear dynamics in the Cournot duopoly game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 512-524.
    2. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    3. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 133-134.
    4. Lin Xu & Ferenc Szidarovszky, 1999. "The Stability Of Dynamic Rent-Seeking Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 87-102.
    5. Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-545, October.
    6. Zhang, Jixiang & Da, Qingli & Wang, Yanhua, 2007. "Analysis of nonlinear duopoly game with heterogeneous players," Economic Modelling, Elsevier, vol. 24(1), pages 138-148, January.
    7. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    8. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    9. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    10. Chung, Tai-Yeong, 1996. "Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
    11. Kooreman, Peter & Schoonbeek, Lambert, 1997. "The specification of the probability functions in Tullock's rent-seeking contest," Economics Letters, Elsevier, vol. 56(1), pages 59-61, September.
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    Cited by:

    1. Karl Wärneryd, 2018. "Chaotic Dynamics In Contests," Economic Inquiry, Western Economic Association International, vol. 56(3), pages 1486-1491, July.
    2. Akio Matsumoto & Ferenc Szidarovszky, 2022. "Stability of dynamic asymmetric contests with endogenous prizes," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 29-40, January.

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    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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