IDEAS home Printed from https://ideas.repec.org/p/bie/wpaper/541.html
   My bibliography  Save this paper

Quick or Persistent? Strategic Investment Demanding Versatility

Author

Listed:
  • Steg, Jan-Henrik

    (Center for Mathematical Economics, Bielefeld University)

  • Thijssen, Jacco

    (Center for Mathematical Economics, Bielefeld University)

Abstract

In this paper we analyse a dynamic model of investment under uncertainty in a duopoly, in which each firm has an option to switch from the present market to a new market. We construct a subgame perfect equilibrium in mixed strategies and show that both preemption and attrition can occur along typical equilibrium paths. In order to determine the attrition region a two-dimensional constrained optimal stopping problem needs to be solved, for which we characterize the non-trivial stopping boundary in the state space. We explicitly determine Markovian equilibrium stopping rates in the attrition region and show that there is always a positive probability of eventual preemption, contrasting the deterministic version of the model. A simulation-based numerical example illustrates the model and shows the relative likelihoods of investment taking place in attrition and preemption regions.

Suggested Citation

  • Steg, Jan-Henrik & Thijssen, Jacco, 2015. "Quick or Persistent? Strategic Investment Demanding Versatility," Center for Mathematical Economics Working Papers 541, Center for Mathematical Economics, Bielefeld University.
    • Handle: RePEc:bie:wpaper:541
    as

    Download full text from publisher

    File URL: https://pub.uni-bielefeld.de/download/2757310/2757311
    File Function: First Version, 2015
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Thijssen, Jacco J.J. & Huisman, Kuno J.M. & Kort, Peter M., 2012. "Symmetric equilibrium strategies in game theoretic real option models," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 219-225.
    2. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    3. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
    4. Grzegorz Pawlina & Peter M. Kort, 2006. "Real Options in an Asymmetric Duopoly: Who Benefits from Your Competitive Disadvantage?," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 1-35, March.
    5. Helen Weeds, 2002. "Strategic Delay in a Real Options Model of R&D Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 729-747.
    6. Pauli Murto, 2004. "Exit in Duopoly Under Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 111-127, Spring.
    7. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    8. Huisman, K.J.M. & Kort, P.M., 1999. "Effects of Strategic Interactions on the Option Value of Waiting," Other publications TiSEM a867e9f4-7840-4335-83df-e, Tilburg University, School of Economics and Management.
    9. repec:fth:tilbur:9992 is not listed on IDEAS
    10. Hendricks, Ken & Weiss, Andrew & Wilson, Charles A, 1988. "The War of Attrition in Continuous Time with Complete Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 663-680, November.
    11. Boyer, Marcel & Lasserre, Pierre & Mariotti, Thomas & Moreaux, Michel, 2004. "Preemption and rent dissipation under price competition," International Journal of Industrial Organization, Elsevier, vol. 22(3), pages 309-328, March.
    12. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
    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. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2019. "Dynamic competition and intellectual property rights in a model of product development," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 270-296.
    2. Lavrutich, Maria, 2016. "Strategic real options : Entry deterrence and exit inducement," Other publications TiSEM a83e0597-6450-4df7-a1e6-7, Tilburg University, School of Economics and Management.
    3. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    4. Lavrutich, Maria N., 2017. "Capacity choice under uncertainty in a duopoly with endogenous exit," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1033-1053.
    5. Jan-Henrik Steg, 2015. "Symmetric Equilibria in Stochastic Timing Games," Papers 1507.04797, arXiv.org, revised May 2018.
    6. Steg, Jan-Henrik, 2018. "Preemptive investment under uncertainty," Games and Economic Behavior, Elsevier, vol. 110(C), pages 90-119.

    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. Chevalier-Roignant, Benoît & Flath, Christoph M. & Huchzermeier, Arnd & Trigeorgis, Lenos, 2011. "Strategic investment under uncertainty: A synthesis," European Journal of Operational Research, Elsevier, vol. 215(3), pages 639-650, December.
    2. Jan-Henrik Steg, 2015. "Symmetric Equilibria in Stochastic Timing Games," Papers 1507.04797, arXiv.org, revised May 2018.
    3. Kuno J.M. Huisman & Peter M. Kort, 2015. "Strategic capacity investment under uncertainty," RAND Journal of Economics, RAND Corporation, vol. 46(2), pages 376-408, June.
    4. Steg, Jan-Henrik & Thijssen, Jacco J.J., 2023. "Strategic investment with positive externalities," Games and Economic Behavior, Elsevier, vol. 138(C), pages 1-21.
    5. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2014. "Innovation and imitation incentives in dynamic duopoly," MPRA Paper 59453, University Library of Munich, Germany.
    6. Thijssen, J.J.J., 2003. "Investment under uncertainty, market evolution and coalition spillovers in a game theoretic perspective," Other publications TiSEM 672073a6-492e-4621-8d4a-0, Tilburg University, School of Economics and Management.
    7. Jacco J.J. Thijssen, "undated". "Equilibria in Continuous Time Preemption Games with Markovian Payoffs," Discussion Papers 11/17, Department of Economics, University of York.
    8. Thijssen, Jacco J.J. & Huisman, Kuno J.M. & Kort, Peter M., 2012. "Symmetric equilibrium strategies in game theoretic real option models," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 219-225.
    9. Steg, Jan-Henrik, 2018. "Preemptive investment under uncertainty," Games and Economic Behavior, Elsevier, vol. 110(C), pages 90-119.
    10. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    11. Bruno Versaevel, 2015. "Alertness, Leadership, and Nascent Market Dynamics," Dynamic Games and Applications, Springer, vol. 5(4), pages 440-466, December.
    12. Sendstad, Lars Hegnes & Chronopoulos, Michail, 2021. "Strategic technology switching under risk aversion and uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 126(C).
    13. Colombo, Luca & Labrecciosa, Paola, 2021. "A stochastic differential game of duopolistic competition with sticky prices," Journal of Economic Dynamics and Control, Elsevier, vol. 122(C).
    14. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2015. "On the timing of innovation and imitation," MPRA Paper 69161, University Library of Munich, Germany.
    15. Hellmann, Tobias & Thijssen, Jacco J.J., 2016. "Fear of the market or fear of the competitor? Ambiguity in a real options game," Center for Mathematical Economics Working Papers 533, Center for Mathematical Economics, Bielefeld University.
    16. Sendstad, Lars Hegnes & Chronopoulos, Michail, 2017. "Strategic Technology Switching under Risk Aversion and Uncertainty," Discussion Papers 2017/10, Norwegian School of Economics, Department of Business and Management Science.
    17. Leippold, Markus & Stromberg, Jacob, 2017. "Strategic technology adoption and hedging under incomplete markets," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 181-199.
    18. Mason, Robin & Weeds, Helen, 2010. "Investment, uncertainty and pre-emption," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 278-287, May.
    19. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    20. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2016. "When should a winner take all, or pay some? Innovation and imitation incentives in a dynamic duopoly," MPRA Paper 75465, University Library of Munich, Germany.

    More about this item

    Keywords

    two-dimensional optimal stopping.; Markovperfect equilibrium; real options; war of attrition; preemption; Stochastic timing games;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bie:wpaper:541. 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: Bettina Weingarten (email available below). General contact details of provider: https://edirc.repec.org/data/imbiede.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.