IDEAS home Printed from https://ideas.repec.org/p/iuk/wpaper/2010-06.html
   My bibliography  Save this paper

A Threshold Interpretation of the Ratio-Form Contest Success Function

Author

Listed:
  • Jeremy Petranka

    (Department of Business Economics and Public Policy, Indiana University Kelley School of Business)

Abstract

Ratio-form contest success functions have been widely used due to their appealing axiomatic properties. Existing microfoundational models offer additional justifications for their use in specific economic applications. I propose a new structure under which a ratio-form contest success function can be derived as a limit result using an underlying contest with multiple rounds and threshold success levels. This model generalizes the stochastic equivalence of ratio-form contest success functions and patent race games, allowing greater fl exibility in the underlying structural interpretation. I additionally formulate a spatial interpretation of the model and apply the general structure to existing models of conflict.

Suggested Citation

  • Jeremy Petranka, 2009. "A Threshold Interpretation of the Ratio-Form Contest Success Function," Working Papers 2010-06, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Mar 2010.
    • Handle: RePEc:iuk:wpaper:2010-06
    as

    Download full text from publisher

    File URL: http://kelley.iu.edu/riharbau/RePEc/iuk/wpaper/bepp2010-06-petranka.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:bla:kyklos:v:28:y:1975:i:4:p:745-62 is not listed on IDEAS
    2. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    3. Birendra K. Rai & Rajiv Sarin, 2007. "Generalized Contest Success Functions," Jena Economics Research Papers 2007-082, Friedrich-Schiller-University Jena.
    4. Schmalensee, Richard, 1992. "Sunk Costs and Market Structure: A Review Article," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 125-134, June.
    5. J. David Pérez-Castrillo & Thierry Verdier, 1992. "A general analysis of rent-seeking games," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 133-148, Springer.
    6. Gordon Tullock, 2008. "On the efficient organization of trials," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 361-378, Springer.
    7. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    8. Glenn C. Loury, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 395-410.
    9. Jeremy Petranka, 2008. "A Conflict Theory of Voting," Working Papers 2010-07, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Mar 2010.
    10. Skaperdas, Stergios & Grofman, Bernard, 1995. "Modeling Negative Campaigning," American Political Science Review, Cambridge University Press, vol. 89(1), pages 49-61, March.
    11. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    12. Birendra K. Rai & Rajiv Sarin, 2007. "Parametric Contest Success Functions," Jena Economics Research Papers 2007-010, Friedrich-Schiller-University Jena.
    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. Jeremy Petranka, 2008. "A Conflict Theory of Voting," Working Papers 2010-07, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy, revised Mar 2010.

    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. 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.
    2. 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.
    3. Osório, António (António Miguel), 2018. "Conflict and Competition over Multi-Issues," Working Papers 2072/306550, Universitat Rovira i Virgili, Department of Economics.
    4. Fu, Qiang & Wu, Zenan & Zhu, Yuxuan, 2022. "On equilibrium existence in generalized multi-prize nested lottery contests," Journal of Economic Theory, Elsevier, vol. 200(C).
    5. Saish Nevrekar, 2022. "Efficiency effects on coalition formation in contests," ECON - Working Papers 412, Department of Economics - University of Zurich.
    6. 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.
    7. Wang Zhewei, 2010. "The Optimal Accuracy Level in Asymmetric Contests," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-18, April.
    8. Gama, Adriana & Rietzke, David, 2019. "Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 183(C), pages 823-841.
    9. Derek J. Clark & Kai A. Konrad, 2007. "Contests with Multi‐tasking," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(2), pages 303-319, June.
    10. Denter, Philipp, 2020. "Campaign contests," European Economic Review, Elsevier, vol. 127(C).
    11. Eduardo Zambrano, 1999. "Formal Models Of Authority," Rationality and Society, , vol. 11(2), pages 115-138, May.
    12. 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.
    13. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working Papers id:12840, eSocialSciences.
    14. Guofu Tan & Ruqu Wang, 2010. "Coalition formation in the presence of continuing conflict," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 273-299, March.
    15. 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.
    16. Alberto Vesperoni, 2016. "A contest success function for rankings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 905-937, December.
    17. Satya R. Chakravarty & Bhargav Maharaj, 2014. "New contest success functions," Working Papers 340, ECINEQ, Society for the Study of Economic Inequality.
    18. Jonas Send, 2021. "Contest Copycats: Adversarial Duplication of Effort in Contests," Working Papers tax-mpg-rps-2021-17, Max Planck Institute for Tax Law and Public Finance.
    19. Christian Ewerhart, 2014. "Elastic contests and the robustness of the all-pay auctions," ECON - Working Papers 155, Department of Economics - University of Zurich.
    20. João Ricardo Faria & Franklin G. Mixon, Jr. & Steven B. Caudill & Samantha J. Wineke, 2014. "Two-Dimensional Effort in Patent-Race Games and Rent-Seeking Contests: The Case of Telephony," Games, MDPI, vol. 5(2), pages 1-11, May.

    More about this item

    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:iuk:wpaper:2010-06. 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: Rick Harbaugh (email available below). General contact details of provider: https://edirc.repec.org/data/dpiubus.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.