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Contest success functions: the common-pool perspective

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  • Christian Ewerhart

Abstract

The axiomatic route to the foundation of contest success functions (CSF) has proved to be both useful and prolific. The standard approach in the literature is based on the decision-theoretic notion that choice probabilities should be independent of irrelevant alternatives (Skaperdas, Economic Theory 1996). The present paper develops an alternative approach that suggests itself once the contest is re-interpreted as a common-pool resource problem. Proceeding along these lines, new axiomatizations are obtained for a variety of popular classes of CSFs, including the logit, Tullock, and difference-form CSFs. The axiomatizations provided are particularly parsimonious in the important special case of two contestants.

Suggested Citation

  • Christian Ewerhart, 2015. "Contest success functions: the common-pool perspective," ECON - Working Papers 195, Department of Economics - University of Zurich.
  • Handle: RePEc:zur:econwp:195
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    1. Walker, James M, et al, 2000. "Collective Choice in the Commons: Experimental Results on Proposed Allocation Rules and Votes," Economic Journal, Royal Economic Society, vol. 110(460), pages 212-234, January.
    2. Chung, Tai-Yeong, 1996. "Rent-Seeking Contest When the Prize Increases with Aggregate Efforts," Public Choice, Springer, vol. 87(1-2), pages 55-66, April.
    3. Christian Ewerhart, 2003. "A short and intuitive proof of Marshall's Rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 415-418, September.
    4. Konrad, Kai A. & Kovenock, Dan, 2009. "The alliance formation puzzle and capacity constraints," Economics Letters, Elsevier, vol. 103(2), pages 84-86, May.
    5. Birendra Rai & Rajiv Sarin, 2009. "Generalized contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 139-149, July.
    6. 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.
    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. Christian Ewerhart, 2015. "Mixed equilibria in Tullock contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 59-71, September.
    9. Shupp, Robert & Sheremeta, Roman M. & Schmidt, David & Walker, James, 2013. "Resource allocation contests: Experimental evidence," Journal of Economic Psychology, Elsevier, vol. 39(C), pages 257-267.
    10. Cornes, Richard & Sandler, Todd, 1983. "On Commons and Tragedies," American Economic Review, American Economic Association, vol. 73(4), pages 787-792, September.
    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. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    13. Johnson, Ronald N & Libecap, Gary D, 1982. "Contracting Problems and Regulation: The Case of the Fishery," American Economic Review, American Economic Association, vol. 72(5), pages 1005-1022, December.
    14. Joan Esteban, 2003. "Olson VS. Coase: Coalitional Worth in Conflict," Theory and Decision, Springer, vol. 55(4), pages 339-357, December.
    15. Perez-Castrillo, J David & Verdier, Thierry, 1992. "A General Analysis of Rent-Seeking Games," Public Choice, Springer, vol. 73(3), pages 335-350, April.
    16. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    17. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. "The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-380, December.
    18. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    19. Hwang, Sung-Ha, 2012. "Technology of military conflict, military spending, and war," Journal of Public Economics, Elsevier, vol. 96(1), pages 226-236.
    20. Magdalena Margreiter & Matthias Sutter & Dennis Dittrich, 2005. "Individual and Collective Choice and Voting in Common Pool Resource Problem with Heterogeneous Actors," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 32(2), pages 241-271, October.
    21. R. Manning & J. McMillan, 1979. "Public Intermediate Goods, Production Possibilities, and International Trade," Canadian Journal of Economics, Canadian Economics Association, vol. 12(2), pages 243-257, May.
    22. Menezes, Flavio M. & Quiggin, John, 2010. "Markets for influence," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 307-310, May.
    23. Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
    24. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    25. Starrett, David A, 1977. "Measuring Returns to Scale in the Aggregate, and the Scale Effect of Public Goods," Econometrica, Econometric Society, vol. 45(6), pages 1439-1455, September.
    26. Charles N. Noussair & Daan van Soest & Jan Stoop, 2015. "Cooperation in a Dynamic Fishing Game: A Framed Field Experiment," American Economic Review, American Economic Association, vol. 105(5), pages 408-413, May.
    27. 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.
    28. Satya R. Chakravarty & Bhargav Maharaj, 2014. "New contest success functions," Working Papers 340, ECINEQ, Society for the Study of Economic Inequality.
    29. Kooreman, Peter & Schoonbeek, Lambert, 1997. "The specification of the probability functions in Tullock's rent-seeking contest," Economics Letters, Elsevier, vol. 56(1), pages 59-61, September.
    30. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
    31. Christian Groh & Benny Moldovanu & Aner Sela & Uwe Sunde, 2012. "Optimal seedings in elimination tournaments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 59-80, January.
    32. Walker, James M. & Gardner, Roy & Ostrom, Elinor, 1990. "Rent dissipation in a limited-access common-pool resource: Experimental evidence," Journal of Environmental Economics and Management, Elsevier, vol. 19(3), pages 203-211, November.
    33. Katz, Avery, 1988. "Judicial decisionmaking and litigation expenditure," International Review of Law and Economics, Elsevier, vol. 8(2), pages 127-143, December.
    34. Bozbay, Irem & Vesperoni, Alberto, 2018. "A contest success function for networks," Journal of Economic Behavior & Organization, Elsevier, vol. 150(C), pages 404-422.
    35. Casari, Marco & Plott, Charles R., 2003. "Decentralized management of common property resources: experiments with a centuries-old institution," Journal of Economic Behavior & Organization, Elsevier, vol. 51(2), pages 217-247, June.
    36. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-898, December.
    37. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62, pages 124-124.
    38. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
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    2. Christian Ewerhart & Guang-Zhen Sun, 2020. "The n-player Hirshleifer contest," ECON - Working Papers 361, Department of Economics - University of Zurich.

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    More about this item

    Keywords

    Contest success functions; axiomatic approach; common-pool resource problems;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • Q2 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation

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