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Generalized Contest Success Functions

Author

Listed:
  • Birendra K. Rai

    (Max Planck Institute of Economics)

  • Rajiv Sarin

    (Texas A+M University)

Abstract

The key element of models of contest is the Contest Success Function (CSF) which specifies the winning probabilities of agents. The existing axiomatizations of CSFs assume that contestants can make only one type of investment. This paper generalizes these axiomatizations to the case where each agent can have multiple types of investments. This allows us to provide a unified framework to extend and interpret the results of Skaperdas (1996) and Clark and Riis (1998), and rationalize some seemingly ad hoc CSFs used by applied researchers.

Suggested Citation

  • Birendra K. Rai & Rajiv Sarin, 2007. "Generalized Contest Success Functions," Jena Economics Research Papers 2007-082, Friedrich-Schiller-University Jena.
    • Handle: RePEc:jrp:jrpwrp:2007-082
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    File URL: https://oweb.b67.uni-jena.de/Papers/jerp2007/wp_2007_082.pdf
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    Citations

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    Cited by:

    1. Stergios Skaperdas, 2011. "Proprietary Public Finance: On its Emergence and Evolution out of Anarchy," CESifo Working Paper Series 3495, CESifo.
    2. Jeremy Petranka, 2009. "A Threshold Interpretation of the Ratio-Form Contest Success Function," Working Papers 2010-06, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Mar 2010.
    3. 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.
    4. Beviá, Carmen & Corchón, Luis C., 2013. "Endogenous strength in conflicts," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 297-306.
    5. 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.
    6. Schaller, Zachary & Skaperdas, Stergios, 2020. "Bargaining and conflict with up-front investments: How power asymmetries matter," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 212-225.
    7. repec:shn:wpaper:2014-02 is not listed on IDEAS
    8. 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.
    9. Kai Konrad & Stergios Skaperdas, 2012. "The market for protection and the origin of the state," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 417-443, June.
    10. McBride, Michael & Skaperdas, Stergios & Tsai, Pi-Han, 2018. "Why go to court? Bargaining failure under the shadow of trial with complete information," European Journal of Political Economy, Elsevier, vol. 55(C), pages 151-168.
    11. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    12. repec:cte:werepe:we097343 is not listed on IDEAS
    13. Chen Wang & Vicki M. Bier, 2016. "Quantifying Adversary Capabilities to Inform Defensive Resource Allocation," Risk Analysis, John Wiley & Sons, vol. 36(4), pages 756-775, April.
    14. Münster, Johannes, 2008. "Group contest success functions [Group Contest Success Functions]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2008-20, WZB Berlin Social Science Center.

    More about this item

    Keywords

    Contest; Rent Seeking;

    JEL classification:

    • 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

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