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Endogenous timing in three-player Tullock contests

Author

Listed:
  • Kyung Hwan Baik

    (Appalachian State University
    Sungkyunkwan University)

  • Jong Hwa Lee

    (Korea Institute for Defense Analyses)

  • Seokho Lee

    (Korea Energy Economics Institute)

Abstract

We study a three-player Tullock contest in an endogenous-timing framework, focusing on the players’ decisions on timing of effort exertion. In this model, there are two points in time at which the players may choose their effort levels. The players decide independently and announce simultaneously when they each will expend their effort, and then each player chooses her effort level at the point in time which she announced. We find that, given moderate asymmetries among the players, each of the players announces the first point in time, and thus they all choose their effort levels simultaneously at the first point in time. This finding is in sharp contrast to a well-known result obtained from two-player asymmetric contests with endogenous timing.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:59:y:2022:i:3:d:10.1007_s00355-022-01396-5
    DOI: 10.1007/s00355-022-01396-5
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    References listed on IDEAS

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    1. Qiang Fu, 2006. "Endogenous timing of contest with asymmetric information," Public Choice, Springer, vol. 129(1), pages 1-23, October.
    2. Pau Balart & Sabine Flamand & Orestis Troumpounis, 2016. "Strategic choice of sharing rules in collective contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 239-262, February.
    3. Kyung H. Baik & Jason F. Shogren, 2008. "Strategic Behavior in Contests: Comment," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 439-442, Springer.
    4. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    5. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    6. Kai Konrad & Wolfgang Leininger, 2007. "The generalized Stackelberg equilibrium of the all-pay auction with complete information," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 165-174, September.
    7. Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
    8. 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.
    9. 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.
    10. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, Decembrie.
    11. Reinganum, Jennifer F., 1985. "A two-stage model of research and development with endogenous second-mover advantages," International Journal of Industrial Organization, Elsevier, vol. 3(3), pages 275-292, September.
    12. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    13. Robson, Arthur J, 1990. "Duopoly with Endogenous Strategic Timing: Stackelberg Regained," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(2), pages 263-274, May.
    14. Magnus Hoffmann & Grégoire Rota-Graziosi, 2012. "Endogenous timing in general rent-seeking and conflict models," Post-Print hal-01904528, HAL.
    15. Leininger, Wolfgang, 1993. "More Efficient Rent-Seeking--A Munchhausen Solution," Public Choice, Springer, vol. 75(1), pages 43-62, January.
    16. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    17. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    18. Nitzan, Shmuel, 1994. "More on More Efficient Rent Seeking and Strategic Behavior in Contests: Comment," Public Choice, Springer, vol. 79(3-4), pages 355-356, June.
    19. Deneckere, Raymond J & Kovenock, Dan & Lee, Robert, 1992. "A Model of Price Leadership Based on Consumer Loyalty," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 147-156, June.
    20. Gil S. Epstein & Shmuel Nitzan, 2007. "Endogenous Public Policy and Contests," Springer Books, Springer, number 978-3-540-74818-2, March.
    21. Avinash Dixit, 2008. "Strategic Behavior in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 431-438, Springer.
    22. Matsumura, Toshihiro, 1999. "Quantity-setting oligopoly with endogenous sequencing," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 289-296, February.
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