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Non-deterministic group contest with private information

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  • Mercier, Jean-François

Abstract

I study a non-deterministic group contest à la Tullock in which contestants are privately informed about their valuation for winning the contest. A group of two and a single contestant compete against each other to win the contest. I analyze contestants’ incentive to free-ride in the large group and I offer a sufficient condition for all contestants to exert strictly positive expected effort in equilibrium. Lastly, I apply this model to verify the validity of Olson’s paradox, which asserts that large groups are less effective than small groups at winning a contest.

Suggested Citation

  • Mercier, Jean-François, 2018. "Non-deterministic group contest with private information," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 47-53.
  • Handle: RePEc:eee:matsoc:v:95:y:2018:i:c:p:47-53
    DOI: 10.1016/j.mathsocsci.2018.05.001
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    1. Heinrich W. Ursprung, 2008. "Public Goods, Rent Dissipation, And Candidate Competition," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 329-346, Springer.
    2. Chamberlin, John, 1974. "Provision of Collective Goods As a Function of Group Size," American Political Science Review, Cambridge University Press, vol. 68(2), pages 707-716, June.
    3. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    4. Iryna Topolyan, 2014. "Rent-seeking for a public good with additive contributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 465-476, February.
    5. Chowdhury, Subhasish M. & Lee, Dongryul & Sheremeta, Roman M., 2013. "Top guns may not fire: Best-shot group contests with group-specific public good prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 94-103.
    6. repec:fsu:wpaper:wp2014_09_02 is not listed on IDEAS
    7. Einy, E. & Haimanko, O. & Moreno, D. & Sela, A. & Shitovitz, B., 2015. "Equilibrium existence in Tullock contests with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 241-245.
    8. Philip Brookins & Dmitry Ryvkin, 2016. "Equilibrium existence in group contests," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 265-276, October.
    9. Pau Balart & Sabine Flamand & Orestis Troumpounis, 2016. "Strategic choice of sharing rules in collective contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(2), pages 239-262, February.
    10. David A. Malueg & Andrew J. Yates, 2004. "Sent Seeking With Private Values," Public Choice, Springer, vol. 119(1_2), pages 161-178, April.
    11. Van Long, Ngo, 2013. "The theory of contests: A unified model and review of the literature," European Journal of Political Economy, Elsevier, vol. 32(C), pages 161-181.
    12. Kolmar, Martin & Rommeswinkel, Hendrik, 2013. "Contests with group-specific public goods and complementarities in efforts," Journal of Economic Behavior & Organization, Elsevier, vol. 89(C), pages 9-22.
    13. Kyung Baik, 2008. "Contests with group-specific public-good prizes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(1), pages 103-117, January.
    14. Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-1534, November.
    15. Katz, Eliakim & Nitzan, Shmuel & Rosenberg, Jacob, 1990. "Rent-Seeking for Pure Public Goods," Public Choice, Springer, vol. 65(1), pages 49-60, April.
    16. Gil S. Epstein & Yosef Mealem, 2009. "Group Specific Public Goods, Orchestration of Interest Groups and Free Riding," Working Papers 2009-02, Bar-Ilan University, Department of Economics.
    17. Riaz, Khalid & Shogren, Jason F & Johnson, Stanley R, 1995. "A General Model of Rent Seeking for Public Goods," Public Choice, Springer, vol. 82(3-4), pages 243-259, March.
    18. Esteban, Joan & Ray, Debraj, 2001. "Collective Action and the Group Size Paradox," American Political Science Review, Cambridge University Press, vol. 95(3), pages 663-672, September.
    19. Warneryd, Karl, 2003. "Information in conflicts," Journal of Economic Theory, Elsevier, vol. 110(1), pages 121-136, May.
    20. Barbieri, Stefano & Malueg, David A., 2016. "Private-information group contests: Best-shot competition," Games and Economic Behavior, Elsevier, vol. 98(C), pages 219-234.
    21. Mark Fey, 2008. "Rent-seeking contests with incomplete information," Public Choice, Springer, vol. 135(3), pages 225-236, June.
    22. Nitzan, Shmuel & Ueda, Kaoru, 2011. "Prize sharing in collective contests," European Economic Review, Elsevier, vol. 55(5), pages 678-687, June.
    23. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    24. Gil Epstein & Yosef Mealem, 2009. "Group specific public goods, orchestration of interest groups with free riding," Public Choice, Springer, vol. 139(3), pages 357-369, June.
    25. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
    26. Hurley, Terrance M. & Shogren, Jason F., 1998. "Effort levels in a Cournot Nash contest with asymmetric information," Journal of Public Economics, Elsevier, vol. 69(2), pages 195-210, June.
    27. Baik, Kyung Hwan & Kim, In-Gyu & Na, Sunghyun, 2001. "Bidding for a group-specific public-good prize," Journal of Public Economics, Elsevier, vol. 82(3), pages 415-429, December.
    28. Dubey, Pradeep, 2013. "The role of information in contests," Economics Letters, Elsevier, vol. 120(2), pages 160-163.
    29. Harstad, Ronald M, 1995. "Privately Informed Seekers of an Uncertain Rent," Public Choice, Springer, vol. 83(1-2), pages 81-93, April.
    30. Martin McGuire, 1974. "Group size, group homo-geneity, and the aggregate provision of a pure public good under cournot behavior," Public Choice, Springer, vol. 18(1), pages 107-126, June.
    31. Lambert Schoonbeek & Barbara Winkel, 2006. "Activity and inactivity in a rent-seeking contest with private information," Public Choice, Springer, vol. 127(1), pages 123-132, April.
    32. Nti, Kofi O., 1998. "Effort and performance in group contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 769-781, November.
    33. Yong Sui, 2009. "Rent-seeking contests with private values and resale," Public Choice, Springer, vol. 138(3), pages 409-422, March.
    34. Paul Pecorino & Akram Temimi, 2008. "The Group Size Paradox Revisited," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 785-799, October.
    35. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
    36. Ryvkin, Dmitry, 2010. "Contests with private costs: Beyond two players," European Journal of Political Economy, Elsevier, vol. 26(4), pages 558-567, December.
    37. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    38. Hurley, Terrance M. & Shogren, Jason F., 1998. "Asymmetric information contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 645-665, November.
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    Cited by:

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