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Tullock and Hirshleifer: a meeting of the minds

Author

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  • José Alcalde

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  • Matthias Dahm

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Abstract

We introduce the serial contest by building on the desirable properties of two prominent contest games. This family of contest games relies both on relative efforts (as Tullock's proposal) and on absolute effort differences (as difference-form contests). An additional desirable feature is that the serial contest is homogeneous of degree zero in contestant's efforts. The family is characterized by a parameter representing how sensitive the outcome is to contestants' efforts. It encompasses as polar cases the (fair) lottery and the (deterministic) all-pay auction. Equilibria have a close relationship to those of the (deterministic) all-pay auction and important properties of the latter hold for the serial contest, too.
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Suggested Citation

  • José Alcalde & Matthias Dahm, 2007. "Tullock and Hirshleifer: a meeting of the minds," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 101-124, September.
  • Handle: RePEc:spr:reecde:v:11:y:2007:i:2:p:101-124
    DOI: 10.1007/s10058-007-0031-6
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    File URL: http://hdl.handle.net/10.1007/s10058-007-0031-6
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    References listed on IDEAS

    as
    1. 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.
    2. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    3. Perez-Castrillo, J David & Verdier, Thierry, 1992. "A General Analysis of Rent-Seeking Games," Public Choice, Springer, vol. 73(3), pages 335-350, April.
    4. Konrad, Kai A., 2000. "Spatial contests," International Journal of Industrial Organization, Elsevier, vol. 18(6), pages 965-974, August.
    5. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993. "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, American Economic Association, vol. 83(1), pages 289-294, March.
    6. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    7. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
    8. José Alcalde & Matthias Dahm, 2007. "All-Pay Auction Equilibria In Contests," Working Papers. Serie AD 2007-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. 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.
    2. María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).
    3. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-Pay Auction," Working Papers 1211, University of Guelph, Department of Economics and Finance.
    4. José Alcalde & Matthias Dahm, 2007. "All-Pay Auction Equilibria In Contests," Working Papers. Serie AD 2007-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    5. 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).
    6. Balart, Pau & Chowdhury, Subhasish M. & Troumpounis, Orestis, 2017. "Linking individual and collective contests through noise level and sharing rules," Economics Letters, Elsevier, vol. 155(C), pages 126-130.
    7. Nicolas Treich, 2010. "Risk-aversion and prudence in rent-seeking games," Public Choice, Springer, vol. 145(3), pages 339-349, December.
    8. Luis Corchón, 2007. "The theory of contests: a survey," Review of Economic Design, Springer;Society for Economic Design, vol. 11(2), pages 69-100, September.
    9. Alcalde, José & Dahm, Matthias, 2013. "Competition for procurement shares," Games and Economic Behavior, Elsevier, vol. 80(C), pages 193-208.
    10. repec:eee:gamebe:v:105:y:2017:i:c:p:195-211 is not listed on IDEAS
    11. 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.
    12. Pelosse, Yohan, 2011. "Inter and intra-group conflicts as a foundation for contest success functions," MPRA Paper 31468, University Library of Munich, Germany.
    13. 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.
    14. Andrew Yates, 2011. "Winner-pay contests," Public Choice, Springer, vol. 147(1), pages 93-106, April.
    15. Pelosse, Yohan, 2009. "Mediated Contests and Strategic Foundations for Contest Success Functions," MPRA Paper 18664, University Library of Munich, Germany.
    16. repec:cai:repdal:redp_273_0307 is not listed on IDEAS
    17. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    18. 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.
    19. Dahm, Matthias & Esteve, Patrícia,, 2013. "Affirmative Action through Extra Prizes," Working Papers 2072/222197, Universitat Rovira i Virgili, Department of Economics.

    More about this item

    Keywords

    Rent-seeking; (Non-)deterministic contest; Contest success function; All-pay auction; Rent dissipation; Exclusion principle; Preemption effect; Cap; Campaign contributions; C72; D72; D44;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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