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Endogenous timing in general rent-seeking and conflict models

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  • Hoffmann, Magnus
  • Rota-Graziosi, Grégoire

Abstract

We examine simultaneous versus sequential choice of effort in a two-player contest. The timing of moves, determined in a preplay stage prior to the contest subgame, as well as the value of the prize is allowed to be endogenous. Contrary to endogenous timing models with an exogenously fixed prize the present paper finds the following: (1) Players may decide to choose their effort simultaneously in the subgame perfect equilibrium (SPE) of the extended game. (2) The SPE does not need to be unique, in particular, there is no unique SPE with sequential moves if the direct costs of effort are zero. (3) Symmetry among players does not rule out incentives for precommitment to effort locally away from the Cournot–Nash level. (4) Finally, there may be no correlation between win probability and strategic incentives in our framework; a finding most central in the analysis of fixed-prize contests.

Suggested Citation

  • Hoffmann, Magnus & Rota-Graziosi, Grégoire, 2012. "Endogenous timing in general rent-seeking and conflict models," Games and Economic Behavior, Elsevier, vol. 75(1), pages 168-184.
    • Handle: RePEc:eee:gamebe:v:75:y:2012:i:1:p:168-184
    DOI: 10.1016/j.geb.2011.12.001
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    6. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.
    7. Keisuke Hattori & Takahiro Kitamura, 2013. "Endogenous Timing in Strategic Environmental Policymaking," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 55(2), pages 199-215, June.
    8. Hoffmann, Magnus & Kolmar, Martin, 2017. "Distributional preferences in probabilistic and share contests," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 120-139.
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    10. Denter, Philipp, 2020. "Campaign contests," European Economic Review, Elsevier, vol. 127(C).
    11. Konstantinos Protopappas, 2023. "Manipulation of moves in sequential contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 511-535, October.
    12. Kyung Hwan Baik & Jong Hwa Lee & Seokho Lee, 2022. "Endogenous timing in three-player Tullock contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(3), pages 495-523, October.
    13. Kicsiny, R. & Varga, Z. & Scarelli, A., 2014. "Backward induction algorithm for a class of closed-loop Stackelberg games," European Journal of Operational Research, Elsevier, vol. 237(3), pages 1021-1036.
    14. Arturo García & Mariel Leal & Sang-Ho Lee, 2019. "Endogenous Timing with a Socially Responsible Firm," Korean Economic Review, Korean Economic Association, vol. 35, pages 345-370.
    15. Sven Fischer & Werner Güth & Todd R. Kaplan & Ro'i Zultan, 2021. "Auctions With Leaks About Early Bids: Analysis And Experimental Behavior," Economic Inquiry, Western Economic Association International, vol. 59(2), pages 722-739, April.
    16. Pau Balart & Sabine Flamand & Oliver Gürtler & Orestis Troumpounis, 2018. "Sequential choice of sharing rules in collective contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(5), pages 703-724, October.
    17. Fischer, Sven & Guth, Werner & Kaplan, Todd & Zultan, Roi, 2014. "Auctions and Leaks: A Theoretical and Experimental Investigation," MPRA Paper 58940, University Library of Munich, Germany.
    18. Keskin, Kerim, 2018. "Cumulative prospect theory preferences in rent-seeking contests," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 85-91.
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    More about this item

    Keywords

    Contests; Endogenous prize; Endogenous timing; Cournot–Nash game; Stackelberg game;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D30 - Microeconomics - - Distribution - - - General

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