IDEAS home Printed from https://ideas.repec.org/p/ieb/wpaper/doc2014-6.html
   My bibliography  Save this paper

Difference-form group contests

Author

Listed:
  • María Cubel

    (Universitat de Barcelona & IEB)

  • Santiago Sanchez-Pages

    (Universitat de Barcelona)

Abstract

Contests are situations in which a set of agents compete for a valuable object, rent or award. The present paper analyzes difference-form group contests, that is, contests fought among groups and where their probability of victory depends on the difference of their effective efforts. First, we show that the non-existence of pure-strategy equilibria and the monopolization results obtained in previous analysis of difference-form contests rest critically on the assumption of a linear cost of effort. Under exponential costs, we show that pure strategy equilibria exist in a large set of cases and that more than one group can expend positive effort in equilibrium. Second, we show that inequality of valuations of victory within groups hinders their chances of prevailing in the contest. If possible; members may find beneficial to engage in progressive redistribution within their group.

Suggested Citation

  • María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).
  • Handle: RePEc:ieb:wpaper:doc2014-6
    as

    Download full text from publisher

    File URL: http://ieb.ub.edu/wp-content/uploads/2018/04/2014-IEB-WorkingPaper-06.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Joan Esteban & Debraj Ray, 2008. "Collective Action and the Group Size Paradox," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 379-388, Springer.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    4. Milgrom, Paul R, 1988. "Employment Contracts, Influence Activities, and Efficient Organization Design," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 42-60, February.
    5. Kaoru Ueda, 2002. "Oligopolization in collective rent-seeking," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 613-626.
    6. Jennifer Brown & Dylan B. Minor, 2014. "Selecting the Best? Spillover and Shadows in Elimination Tournaments," Management Science, INFORMS, vol. 60(12), pages 3087-3102, December.
    7. 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.
    8. Charles H. Anderton, 2000. "An Insecure Economy under Ratio and Logistic Conflict Technologies," Journal of Conflict Resolution, Peace Science Society (International), vol. 44(6), pages 823-838, December.
    9. Stergios Skaperdas & Samarth Vaidya, 2012. "Persuasion as a contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 465-486, October.
    10. Nitzan, Shmuel, 1991. "Rent-Seeking with Non-identical Sharing Rules," Public Choice, Springer, vol. 71(1-2), pages 43-50, August.
    11. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    12. 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.
    13. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
    14. Skaperdas, Stergios & Syropoulos, Constantinos, 1996. "Can the shadow of the future harm cooperation?," Journal of Economic Behavior & Organization, Elsevier, vol. 29(3), pages 355-372, May.
    15. Baik, Kyung Hwan, 1993. "Effort levels in contests : The public-good prize case," Economics Letters, Elsevier, vol. 41(4), pages 363-367.
    16. 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.
    17. Martin Kolmar & Hendrik Rommeswinkel, 2011. "Technological Determinants of the Group-Size Paradox," CESifo Working Paper Series 3362, CESifo.
    18. Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-136, February.
    19. Johannes Münster & Klaas Staal, 2011. "War with Outsiders Makes Peace Inside," Conflict Management and Peace Science, Peace Science Society (International), vol. 28(2), pages 91-110, April.
    20. Robert A. Pollak, 1971. "Additive Utility Functions and Linear Engel Curves," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(4), pages 401-414.
    21. 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.
    22. 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.
    23. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
    24. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    25. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    26. Baik, Kyung Hwan, 1998. "Difference-form contest success functions and effort levels in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 685-701, November.
    27. Jack Hirshleifer, 1989. "Conflict and rent-seeking success functions: Ratio vs. difference models of relative success," Public Choice, Springer, vol. 63(2), pages 101-112, November.
    28. Jack Hirshleifer, 1983. "From weakest-link to best-shot: The voluntary provision of public goods," Public Choice, Springer, vol. 41(3), pages 371-386, January.
    29. Lee, Dongryul, 2012. "Weakest-link contests with group-specific public good prizes," European Journal of Political Economy, Elsevier, vol. 28(2), pages 238-248.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Martin Kolmar & Hendrik Rommeswinkel, 2020. "Group size and group success in conflicts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 777-822, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. María Cubel & Santiago Sanchez-Pages, 2014. "Difference-form group contests," Working Papers 2014/6, Institut d'Economia de Barcelona (IEB).
    2. 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.
    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. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working Papers id:12840, eSocialSciences.
    5. 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.
    6. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    7. 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.
    8. Ewerhart, Christian & Sun, Guang-Zhen, 2024. "The n-player Hirshleifer contest," Games and Economic Behavior, Elsevier, vol. 143(C), pages 300-320.
    9. Cubel Maria & Sanchez-Pages Santiago, 2012. "The effect of within-group inequality in a conflict against a unitary threat," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 18(3), pages 1-11, December.
    10. Barbieri, Stefano & Malueg, David A., 2016. "Private-information group contests: Best-shot competition," Games and Economic Behavior, Elsevier, vol. 98(C), pages 219-234.
    11. Pelosse, Yohan, 2011. "Inter and intra-group conflicts as a foundation for contest success functions," MPRA Paper 31468, University Library of Munich, Germany.
    12. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-pay Auction," CESifo Working Paper Series 3976, CESifo.
    13. Satya R. Chakravarty & Amita Majumder & Sonali Roy, 2007. "A Treatment Of Absolute Indices Of Polarization," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 273-293, June.
    14. Hao Jia & Stergios Skaperdas, 2011. "Technologies of Conflict," Working Papers 101111, University of California-Irvine, Department of Economics.
    15. Jay Pil Choi & Subhasish M. Chowdhury & Jaesoo Kim, 2016. "Group Contests with Internal Conflict and Power Asymmetry," Scandinavian Journal of Economics, Wiley Blackwell, vol. 118(4), pages 816-840, October.
    16. Raul Caruso, 2008. "Reciprocity in the shadow of threat," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 55(1), pages 91-111, April.
    17. Johannes Münster, 2009. "Group contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 345-357, November.
    18. James W. Boudreau & Haikady N. Nagaraja & Lucas Rentschler & Shane D. Sanders, 2024. "The role of luck in political and economic competition: noisy all-pay auctions," Public Choice, Springer, vol. 199(1), pages 137-157, April.
    19. Arye L. Hillman & Ngo Van Long, 2017. "Rent Seeking: The Social Cost of Contestable Benefits," CESifo Working Paper Series 6462, CESifo.
    20. Yohan Pelosse, 2024. "A Non-Cooperative Shapley Value Representation of Luce Contests Success Functions," Working Papers 2024-01, Swansea University, School of Management.

    More about this item

    Keywords

    Contests; contest success function; inequality; redistribution;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ieb:wpaper:doc2014-6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/iebubes.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.