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Endogenous contest success functions: a mechanism design approach

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  • Leonid Polishchuk
  • Alexander Tonis

Abstract

We describe optimal contest success functions (CSF) which maximize expected revenues of an administrator who allocates under informational asymmetry a source of rent among competing bidders. It is shown that in the case of independent private values rent administrator’s optimal mechanism can always be implemented via some CSFs as posited by Tullock. Optimal endogenous CSFs have properties which are often assumed a priori as plausible features of rent-seeking contests; the paper therefore validates such assumptions for a broad class of contests. Various extensions or optimal CSFs are analyzed. Copyright Springer-Verlag 2013

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  • Leonid Polishchuk & Alexander Tonis, 2013. "Endogenous contest success functions: a mechanism design approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 271-297, January.
    • Handle: RePEc:spr:joecth:v:52:y:2013:i:1:p:271-297
    DOI: 10.1007/s00199-011-0622-x
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    1. Martin C. McGuire & Mancur Olson, 1998. "The Economics of Autocracy and Majority Rule: The Invisible Hand and the Use of Force," International Economic Association Series, in: Silvio Borner & Martin Paldam (ed.), The Political Dimension of Economic Growth, chapter 3, pages 38-73, Palgrave Macmillan.
    2. Che, Yeon-Koo & Gale, Ian, 2000. "Difference-Form Contests and the Robustness of All-Pay Auctions," Games and Economic Behavior, Elsevier, vol. 30(1), pages 22-43, January.
    3. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
    4. Grossman, Herschel I, 1994. "Production, Appropriation, and Land Reform," American Economic Review, American Economic Association, vol. 84(3), pages 705-712, June.
    5. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    6. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    7. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    8. Steven R. Williams, 1999. "A characterization of efficient, bayesian incentive compatible mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 155-180.
    9. Kevin M. Murphy & Andrei Shleifer & Robert W. Vishny, 2008. "Why Is Rent-Seeking So Costly to Growth?," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 213-218, Springer.
    10. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    11. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    12. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    13. Leonid POLISHCHUK, 2008. "Misuse of Institutions: Patterns and Causes," The Journal of Comparative Economic Studies (JCES), The Japanese Society for Comparative Economic Studies (JSCES), vol. 4, pages 57-80, December.
    14. Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-286, July.
    15. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    16. 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.
    17. Hervé Moulin, 1990. "Joint Ownership of a Convex Technology: Comparison of Three Solutions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 439-452.
    18. Maria Arbatskaya & Hugo Mialon, 2010. "Multi-activity contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 23-43, April.
    19. Hillman, Arye L & Katz, Eliakim, 1984. "Risk-Averse Rent Seekers and the Social Cost of Monopoly Power," Economic Journal, Royal Economic Society, vol. 94(373), pages 104-110, March.
    20. Luis Corchón & Matthias Dahm, 2010. "Foundations for contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 81-98, April.
    21. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    22. 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.
    23. Klemperer, Paul, 1999. " Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-86, July.
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    Citations

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    Cited by:

    1. 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.
    2. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-Pay Auction," Working Papers 1211, University of Guelph, Department of Economics and Finance.
    3. 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).
    4. Subhasish Chowdhury & Roman Sheremeta, 2015. "Strategically equivalent contests," Theory and Decision, Springer, vol. 78(4), pages 587-601, April.
    5. Jean-François Mercier, 2018. "Selecting contestants for a rent-seeking contest," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 927-947, September.
    6. Thomas Giebe & Paul Schweinzer, 2015. "Probabilistic procurement auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 19(1), pages 25-46, March.
    7. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working papers 288, Centre for Development Economics, Delhi School of Economics.
    8. Liu, Bin & Lu, Jingfeng & Wang, Ruqu & Zhang, Jun, 2018. "Optimal prize allocation in contests: The role of negative prizes," Journal of Economic Theory, Elsevier, vol. 175(C), pages 291-317.
    9. 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.
    10. Giebe, Thomas, 2014. "Innovation contests with entry auction," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 165-176.
    11. María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).
    12. Olszewski, Wojciech & Siegel, Ron, 2020. "Performance-maximizing large contests," Theoretical Economics, Econometric Society, vol. 15(1), January.
    13. Jean-Daniel Guigou & Bruno Lovat & Marc Boissaux, 2013. "Asymmetric contests with risky rents," DEM Discussion Paper Series 13-9, Department of Economics at the University of Luxembourg.
    14. Liu, Bin & Lu, Jingfeng, 2023. "Optimal orchestration of rewards and punishments in rank-order contests," Journal of Economic Theory, Elsevier, vol. 208(C).
    15. Mengxi Zhang, 2023. "Optimal Contests with Incomplete Information and Convex Effort Costs," CRC TR 224 Discussion Paper Series crctr224_2023_156v2, University of Bonn and University of Mannheim, Germany.
    16. Thomas Giebe & Paul Schweinzer, 2012. "Fuzzy Price-Quality Ratio Procurement under Incomplete Information," Discussion Papers 12/26, Department of Economics, University of York.
    17. Liu, Xuyuan & Lu, Jingfeng, 2017. "Optimal prize-rationing strategy in all-pay contests with incomplete information," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 57-90.
    18. Jean-Daniel Guigou & Bruno Lovat & Marc Boissaux, 2013. "Asymmetric contests with risky rents," LSF Research Working Paper Series 13-9, Luxembourg School of Finance, University of Luxembourg.
    19. Liu, Bin & Lu, Jingfeng, 2019. "The optimal allocation of prizes in contests with costly entry," International Journal of Industrial Organization, Elsevier, vol. 66(C), pages 137-161.
    20. María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).

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    More about this item

    Keywords

    Rent seeking; Contest success functions; Asymmetric information; Bayesian mechanism design; D72; D82; C73;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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