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A contest success function for rankings

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  • Vesperoni, Alberto

    (University of Siegen)

Abstract

A contest is a game where several players compete for winning prizes by expending costly efforts. We assume that the outcome of a contest is an ordered partition of the set of players (a ranking) and a contest success function assigns a probability to each possible outcome as a function of players’ efforts. We define a contest success function for contests whose outcome is a ranking of any type, i.e., with any number of players at each rank. This approach is new in contest theory since the axiomatic work has exclusively been on contests with single-winner, whose outcome is a ranking with one player in the first rank and all other players in the second rank. The contest success function is characterized by pair-swap consistency, which is an axiom of independence of irrelevant alternatives and generalizes the main axiom in Skaperdas (1996).

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  • Vesperoni, Alberto, 2013. "A contest success function for rankings," NEPS Working Papers 8/2013, Network of European Peace Scientists.
  • Handle: RePEc:ris:nepswp:2013_008
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    Cited by:

    1. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2019. "Efficiency-based measures of inequality," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 60-69.
    2. 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).
    3. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.
    4. Ewerhart, Christian & Valkanova, Kremena, 2020. "Fictitious play in networks," Games and Economic Behavior, Elsevier, vol. 123(C), pages 182-206.
    5. Christian Ewerhart, 2015. "Contest success functions: the common-pool perspective," ECON - Working Papers 195, Department of Economics - University of Zurich.
    6. Alberto Vesperoni & Anıl Yıldızparlak, 2019. "Inequality and conflict outbreak," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 135-173, June.
    7. 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.
    8. Morgan, John & Sisak, Dana, 2016. "Aspiring to succeed: A model of entrepreneurship and fear of failure," Journal of Business Venturing, Elsevier, vol. 31(1), pages 1-21.
    9. Lu, Jingfeng & Wang, Zhewei, 2015. "Axiomatizing multi-prize nested lottery contests: A complete and strict ranking perspective," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 127-141.
    10. Jingfeng Lu & Zhewei Wang, 2016. "Axiomatization of reverse nested lottery contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 939-957, December.
    11. Bozbay, Irem & Vesperoni, Alberto, 2018. "A contest success function for networks," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 404-422.

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    More about this item

    Keywords

    conflict; contest; ranking; success function; axiom; probabilistic choice;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • 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
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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