IDEAS home Printed from https://ideas.repec.org/p/geo/guwopa/gueconwpa~10-10-07.html
   My bibliography  Save this paper

Racing Under Uncertainty: A Boundary Value Problem Approach

Author

Abstract

In this paper I formulate a continuous time and continuous space version of Harris and Vickers (1987) Racing Under Uncertainty with potentially asymmetric players. To prove the existence and uniqueness of the equilibria, I use a boundary value problem formulation which is novel to the dynamic competition literature. In some cases, I obtain closed-form solutions of the equilibria in which equilibrium strategies exhibit the discouragement effect similar to the one in the original paper.

Suggested Citation

  • Dan Cao, 2010. "Racing Under Uncertainty: A Boundary Value Problem Approach," Working Papers gueconwpa~10-10-07, Georgetown University, Department of Economics.
    • Handle: RePEc:geo:guwopa:gueconwpa~10-10-07
    as

    Download full text from publisher

    File URL: http://www8.georgetown.edu/departments/economics/pdf/1007.pdf
    File Function: Full text
    Download Restriction: None
    ---><---

    References listed on IDEAS

    as
    1. Lones Smith & Giuseppe Moscarini, 2007. "Optimal Dynamic Contests," 2007 Meeting Papers 249, Society for Economic Dynamics.
    2. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    3. Christopher Harris & John Vickers, 1985. "Perfect Equilibrium in a Model of a Race," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 193-209.
    4. Reinganum, Jennifer F, 1983. "Uncertain Innovation and the Persistence of Monopoly," American Economic Review, American Economic Association, vol. 73(4), pages 741-748, September.
    5. Christopher Budd & Christopher Harris & John Vickers, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 543-573.
    6. Philippe Aghion & Christopher Harris & Peter Howitt & John Vickers, 2001. "Competition, Imitation and Growth with Step-by-Step Innovation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 467-492.
    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. Dilmé, Francesc, 2019. "Dynamic quality signaling with hidden actions," Games and Economic Behavior, Elsevier, vol. 113(C), pages 116-136.
    2. Francesc Dilmé, 2012. "Dynamic Quality Signaling with Moral Hazard," PIER Working Paper Archive 12-012, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Francesc Dilmé, 2012. "Dynamic Quality Signaling with Hidden Actions, Second Version," PIER Working Paper Archive 13-063, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Oct 2013.

    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. Daron Acemoglu & Ufuk Akcigit, 2006. "State-Dependent Intellectual Property Rights Policy," NBER Working Papers 12775, National Bureau of Economic Research, Inc.
    2. Steinmetz, Alexander, 2010. "Competition, innovation, and the effect of knowledge accumulation," W.E.P. - Würzburg Economic Papers 81, University of Würzburg, Department of Economics.
    3. Alexander Steinmetz, 2015. "Competition, innovation, and the effect of R&D knowledge," Journal of Economics, Springer, vol. 115(3), pages 199-230, July.
    4. Alexander Steinmetz, 2008. "Competition, Innovation and the Effect of Knowledge Accumulation," Working Papers 053, Bavarian Graduate Program in Economics (BGPE).
    5. Cao, Dan, 2014. "Racing under uncertainty: Boundary value problem approach," Journal of Economic Theory, Elsevier, vol. 151(C), pages 508-527.
    6. Ufuk Akcigit & Sina T. Ates, 2023. "What Happened to US Business Dynamism?," Journal of Political Economy, University of Chicago Press, vol. 131(8), pages 2059-2124.
    7. Shakun D. Mago & Roman M. Sheremeta, 2017. "Multi‐battle Contests: An Experimental Study," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 407-425, October.
    8. Hamid Beladi & Arijit Mukherjee, 2022. "R&D competition and the persistence of technology leadership," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(3), pages 272-284, September.
    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. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    11. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    12. Ufuk Akcigit & Sina T. Ates, 2021. "Ten Facts on Declining Business Dynamism and Lessons from Endogenous Growth Theory," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(1), pages 257-298, January.
    13. Ron N. Borkovsky, 2017. "The timing of version releases: A dynamic duopoly model," Quantitative Marketing and Economics (QME), Springer, vol. 15(3), pages 187-239, September.
    14. Barbieri, Stefano & Serena, Marco, 2022. "Biasing dynamic contests between ex-ante symmetric players," Games and Economic Behavior, Elsevier, vol. 136(C), pages 1-30.
    15. Emin Karagözoglu & Cagri Saglam & Agah R. Turan, 2020. "Tullock Brings Perseverance and Suspense to Tug-of-War," CESifo Working Paper Series 8103, CESifo.
    16. Philippe Aghion & Stefan Bechtold & Lea Cassar & Holger Herz, 2018. "The Causal Effects of Competition on Innovation: Experimental Evidence," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 34(2), pages 162-195.
    17. Uwe Cantner & Werner Güth & Andreas Nicklisch & Torsten Weiland, 2009. "Competition In Product Design: An Experiment Exploring Innovation Behavior," Metroeconomica, Wiley Blackwell, vol. 60(4), pages 724-752, November.
    18. Gilbert Richard J, 2006. "Competition and Innovation," Journal of Industrial Organization Education, De Gruyter, vol. 1(1), pages 1-23, December.
    19. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.
    20. Roberto Piazza & Yu Zheng, 2023. "Innovate to lead or innovate to prevail: When do monopolistic rents induce growth?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(3), pages 867-919, October.

    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:geo:guwopa:gueconwpa~10-10-07. 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: Marcia Suss (email available below). General contact details of provider: http://econ.georgetown.edu/ .

    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.