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Markovian Equilibrium in a Model of Investment Under Imperfect Competition

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  • Thomas Fagart

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper develops and analyzes a dynamic model of partially irreversible investment under cournot competition and stochastic evolution of demand. In this framework, I characterize the markov perfect equilibrium in which player's strategies are continuous in the state variable. There exists a zone in the space of capacities, named the no-move zone, such that if firms capacity belongs to this area, no firm invest nor disinvest at the equilibrium. Thereby, initial asymmetry between firms capacity can be preserved. If firms are outside this area, they invest in order to reached the no-move zone. The equilibrium as an efficiency property: the point of this area which is reached by the firms minimizes the investment cost of the all industry.

Suggested Citation

  • Thomas Fagart, 2014. "Markovian Equilibrium in a Model of Investment Under Imperfect Competition," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01020398, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01020398
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01020398
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    References listed on IDEAS

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    1. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    2. Boyer, Marcel & Lasserre, Pierre & Moreaux, Michel, 2012. "A dynamic duopoly investment game without commitment under uncertain market expansion," International Journal of Industrial Organization, Elsevier, vol. 30(6), pages 663-681.
    3. Andrew B. Abel & Avinash K. Dixit & Janice C. Eberly & Robert S. Pindyck, 1996. "Options, the Value of Capital, and Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 753-777.
    4. 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.
    5. 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.
    6. Baldursson, Fridrik M., 1998. "Irreversible investment under uncertainty in oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 627-644, April.
    7. Kerry Back & Dirk Paulsen, 2009. "Open-Loop Equilibria and Perfect Competition in Option Exercise Games," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4531-4552, November.
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    More about this item

    Keywords

    Capacity investment and disinvestment; dynamic stochastic games; Markov perfect equilibrium; real option games; Investissement en capacité; jeux différentiel; équilibre markovien; option réelle;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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