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Lottery versus All-Pay Auction Contests – A Revenue Dominance Theorem

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Author Info

  • Jörg Franke

    ()

  • Christian Kanzow
  • Wolfgang Leininger
  • Alexandra Schwartz

Abstract

We allow a contest organizer to bias a contest in a discriminatory way, that is, she can favor specific contestants through the choice of contest success functions in order to maximize total equilibrium effort (resp. revenue). The scope for revenue enhancement through biasing is analyzed and compared for the two predominant contest regimes; i.e. all-pay auctions and lottery contests. Our main result reveals that an appropriately biased all-pay auction revenue dominates the optimally biased lottery contest for all levels of heterogeneity among contestants. Moreover, such a biased all-pay auction will never make use of the celebrated exclusion principle advanced by Baye et al. (1993).

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File URL: http://repec.rwi-essen.de/files/REP_12_315.pdf
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Bibliographic Info

Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0315.

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Length: 19 pages
Date of creation: Feb 2012
Date of revision:
Handle: RePEc:rwi:repape:0315

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Keywords: All-pay auction; lottery contest; bias; revenue;

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References

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  1. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer, vol. 26(4), pages 923-946, November.
  2. Epstein, Gil S. & Mealem, Yosef & Nitzan, Shmuel, 2012. "Lotteries vs. All-Pay Auctions in Fair and Biased Contests," IZA Discussion Papers 7032, Institute for the Study of Labor (IZA).
  3. Franke, Jörg, 2012. "Affirmative action in contest games," European Journal of Political Economy, Elsevier, vol. 28(1), pages 105-118.
  4. Ian Gale & Mark Stegeman, 1994. "Exclusion in all-pay auctions," Working Paper 9401, Federal Reserve Bank of Cleveland.
  5. Gil S. Epstein & Yosef Mealem & Shmuel Nitzan, 2010. "Political Culture and Discrimination in Contests," Working Papers 2010-18, Bar-Ilan University, Department of Economics.
  6. Jörg Franke & Christian Kanzow & Wolfgang Leininger & Alexandra Schwartz, 2013. "Effort maximization in asymmetric contest games with heterogeneous contestants," Economic Theory, Springer, vol. 52(2), pages 589-630, March.
  7. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1992. "Rigging the Lobbying Process: An Application of the All- Pay Auction," Papers 9-92-2, Pennsylvania State - Department of Economics.
  8. Baye, M. & Kovenock, D. & Vries, C. de, 1990. "The All-Pay Auction with Complete Information," Discussion Paper 1990-51, Tilburg University, Center for Economic Research.
  9. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
  10. Qiang Fu, 2006. "A Theory of Affirmative Action in College Admissions," Economic Inquiry, Western Economic Association International, vol. 44(3), pages 420-428, July.
  11. Ron Siegel, 2010. "Asymmetric Contests with Conditional Investments," American Economic Review, American Economic Association, vol. 100(5), pages 2230-60, December.
  12. Richard L. Fullerton & R. Preston McAfee, 1999. "Auctioning Entry into Tournaments," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 573-605, June.
  13. Yeon-Koo Che & Ian Gale, 2000. "Optimal Design of Research Contests," Econometric Society World Congress 2000 Contributed Papers 1784, Econometric Society.
  14. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics.
  15. Stein, William E, 2002. " Asymmetric Rent-Seeking with More Than Two Contestants," Public Choice, Springer, vol. 113(3-4), pages 325-36, December.
  16. Qiang Fu & Jingfeng Lu, 2010. "Contest Design And Optimal Endogenous Entry," Economic Inquiry, Western Economic Association International, vol. 48(1), pages 80-88, 01.
  17. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
  18. Fang, Hanming, 2002. " Lottery versus All-Pay Auction Models of Lobbying," Public Choice, Springer, vol. 112(3-4), pages 351-71, September.
  19. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, October.
  20. Rene Kirkegaard, 2008. "Favoritism in Contests: Head Starts and Handicaps," Working Papers 0805, Brock University, Department of Economics, revised Nov 2008.
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Citations

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Cited by:
  1. Epstein, Gil S. & Mealem, Yosef, 2013. "Politicians, Governed vs. Non-Governed Interest Groups and Rent Dissipation," IZA Discussion Papers 7736, Institute for the Study of Labor (IZA).
  2. Jörg Franke & Wolfgang Leininger, 2013. "On the Efficient Provision of Public Goods by Means of Lotteries," CESifo Working Paper Series 4109, CESifo Group Munich.
  3. Alexander Matros & Alex Possajennikov, . "Common Value Allocation Mechanisms with Private Information: Lotteries or Auctions?," Discussion Papers 2014-07, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  4. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-pay Auction," CESifo Working Paper Series 3976, CESifo Group Munich.
  5. Yosef Mealem & Shmuel Nitzan, 2014. "Equity and effectiveness of optimal taxation in contests under an all-pay auction," Social Choice and Welfare, Springer, vol. 42(2), pages 437-464, February.
  6. Amegashie, J. Atsu, 2012. "A nested contest: Tullock meets the All-Pay Auction," MPRA Paper 41654, University Library of Munich, Germany, revised 03 Sep 2012.
  7. Yosef Mealem & Shmuel Nitzan, 2013. "Direct and Structural Discrimination in Contests," CESifo Working Paper Series 4518, CESifo Group Munich.

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