IDEAS home Printed from https://ideas.repec.org/p/hhs/stavef/2016_008.html
   My bibliography  Save this paper

Axiomatization of Group Contest Success Functions

Author

Listed:
  • Hausken, Kjell

    (UiS)

Abstract

Group contest success functions are axiomatized for general production functions, focusing particularly on the additive production function and the multiplicative Cobb-Douglas production function. Essential for axioms supporting the additive production function, driven by substitutability across efforts, is the sufficiency of only one group member exerting effort. Essential for axioms supporting the multiplicative production function, driven by complementarity across efforts, is that all group members exert efforts. The additive production function is further supported by an axiom where adding an amount to one effort and subtracting the same amount from a second equivalent substitutable effort does not change the winning probabilities. The Cobb-Douglas production function is supported by a strong homogeneity axiom where an equiproportionate change in matched group member’s efforts does not affect the winning probabilities.

Suggested Citation

  • Hausken, Kjell, 2016. "Axiomatization of Group Contest Success Functions," UiS Working Papers in Economics and Finance 2016/8, University of Stavanger.
    • Handle: RePEc:hhs:stavef:2016_008
    as

    Download full text from publisher

    File URL: https://dl.dropboxusercontent.com/u/8078351/uis_wps_econ_fin/uis_wps_2016_08_hausken.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Maria Arbatskaya & Hugo Mialon, 2010. "Multi-activity contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 23-43, April.
    2. Krueger, Anne O, 1974. "The Political Economy of the Rent-Seeking Society," American Economic Review, American Economic Association, vol. 64(3), pages 291-303, June.
    3. J. Amegashie & Marco Runkel, 2007. "Sabotaging Potential Rivals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 143-162, January.
    4. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    5. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
    6. 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.
    7. 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.
    8. K Hausken & J Zhuang, 2012. "The timing and deterrence of terrorist attacks due to exogenous dynamics," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(6), pages 726-735, June.
    9. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    Full references (including those not matched with items on IDEAS)

    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. Kjell Hausken, 2020. "Additive multi-effort contests," Theory and Decision, Springer, vol. 89(2), pages 203-248, September.
    2. Kjell Hausken, 2021. "Axiomatizing additive multi-effort contests," SN Business & Economics, Springer, vol. 1(11), pages 1-12, November.
    3. 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.
    4. Münster, Johannes, 2008. "Group contest success functions [Group Contest Success Functions]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2008-20, WZB Berlin Social Science Center.
    5. Hausken, Kjell, 1998. "Collective rent seeking and division of labor1," European Journal of Political Economy, Elsevier, vol. 14(4), pages 739-768, November.
    6. 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.
    7. Pelosse, Yohan, 2011. "Inter and intra-group conflicts as a foundation for contest success functions," MPRA Paper 31468, University Library of Munich, Germany.
    8. Garfinkel, Michelle R., 2004. "Global threats and the domestic struggle for power," European Journal of Political Economy, Elsevier, vol. 20(2), pages 495-508, June.
    9. Amegashie, J. Atsu, 2019. "Quantity-cum-quality contests," European Journal of Political Economy, Elsevier, vol. 58(C), pages 289-297.
    10. Maria Arbatskaya & Hugo Mialon, 2010. "Multi-activity contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 23-43, April.
    11. 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.
    12. Garfinkel, Michelle R. & Skaperdas, Stergios, 2007. "Economics of Conflict: An Overview," Handbook of Defense Economics, in: Keith Hartley & Todd Sandler (ed.), Handbook of Defense Economics, edition 1, volume 2, chapter 22, pages 649-709, Elsevier.
    13. Vahabi,Mehrdad, 2019. "The Political Economy of Predation," Cambridge Books, Cambridge University Press, number 9781107591370.
    14. Bos, Dieter & Kolmar, Martin, 2003. "Anarchy, efficiency, and redistribution," Journal of Public Economics, Elsevier, vol. 87(11), pages 2431-2457, October.
    15. Arye L. Hillman & Ngo Van Long, 2017. "Rent Seeking: The Social Cost of Contestable Benefits," CESifo Working Paper Series 6462, CESifo.
    16. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.
    17. Dongryul Lee & Pilwon Kim, 2022. "Group formation in a dominance-seeking contest," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 39-68, January.
    18. Pelosse, Yohan, 2009. "Mediated Contests and Strategic Foundations for Contest Success Functions," MPRA Paper 18664, University Library of Munich, Germany.
    19. Hausken, Kjell & Bier, Vicki M., 2011. "Defending against multiple different attackers," European Journal of Operational Research, Elsevier, vol. 211(2), pages 370-384, June.
    20. Gil S. Epstein & Yosef Mealem, 2013. "Politicians, Governed vs. Non-Governed Interest Groups and Rent Dissipation," Working Papers 2013-09, Bar-Ilan University, Department of Economics.

    More about this item

    Keywords

    Rent seeking; group; additive efforts; Cobb-Douglas; axiomatization; contest success function.;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • 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:hhs:stavef:2016_008. 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: Bernt Arne Odegaard (email available below). General contact details of provider: https://edirc.repec.org/data/iouisno.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.