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Welfare maximizing contest success functions when the planner cannot commit

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  • Corchón, Luis
  • Dahm, Matthias

Abstract

We analyze how a contest organizer chooses optimally the winner when the contestants’ efforts are already exerted and commitment to the use of a given contest success function is not possible. We define the notion of rationalizability in mixed-strategies to capture such a situation. Our approach allows to derive different contest success functions depending on the aims and attitudes of the decider. We derive contest success functions which are closely related to commonly used functions providing new support for them. By taking into account social welfare considerations our approach bridges the contest literature and the recent literature on political economy.

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  • Corchón, Luis & Dahm, Matthias, 2011. "Welfare maximizing contest success functions when the planner cannot commit," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 309-317.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:3:p:309-317
    DOI: 10.1016/j.jmateco.2010.12.018
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    Citations

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    Cited by:

    1. Cubel, María & Sanchez-Pages, Santiago, 2016. "An axiomatization of difference-form contest success functions," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 92-105.
    2. Luis C. Corchón & Marco Serena, 2016. "Properties of Contests," Working Papers tax-mpg-rps-2018-10, Max Planck Institute for Tax Law and Public Finance.
    3. Jose Alcalde & Matthias Dahm, 2016. "Proportional payoffs in legislative bargaining with weighted voting: a characterization," Discussion Papers 2016-03, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    4. María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).
    5. Sanchez-Pages, Santiago & Cubel, Maria, 2015. "An axiomatization of difference-form contest success functions," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-49, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. Subhasish Chowdhury & Roman Sheremeta, 2015. "Strategically equivalent contests," Theory and Decision, Springer, vol. 78(4), pages 587-601, April.
    7. Yohan Pelosse, 2024. "A Non-Cooperative Shapley Value Representation of Luce Contests Success Functions," Working Papers 2024-01, Swansea University, School of Management.
    8. Esteve-González, Patricia, 2016. "Moral hazard in repeated procurement of services," International Journal of Industrial Organization, Elsevier, vol. 48(C), pages 244-269.
    9. René Kirkegaard, 2020. "Microfounded Contest Design," Working Papers 2003, University of Guelph, Department of Economics and Finance.
    10. Dahm, Matthias & Glazer, Amihai, 2015. "A carrot and stick approach to agenda-setting," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 465-480.
    11. Pelosse, Yohan, 2011. "Equivalence of optimal noisy-ranking contests and Tullock contests," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 740-748.
    12. Alcalde, José & Dahm, Matthias, 2019. "Dual sourcing with price discovery," Games and Economic Behavior, Elsevier, vol. 115(C), pages 225-246.
    13. María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).
    14. Matthias Dahm & Robert Dur & Amihai Glazer, 2014. "How a firm can induce legislators to adopt a bad policy," Public Choice, Springer, vol. 159(1), pages 63-82, April.

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    More about this item

    Keywords

    Endogenous contests; Contest success function; Mixed-strategies;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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