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Coordination and Cooperation in Investment Timing with Externalities ?

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  • Etienne Billette de Villemeur

    (EQUIPPE - Economie Quantitative, Intégration, Politiques Publiques et Econométrie - Université de Lille, Sciences et Technologies - Université de Lille, Sciences Humaines et Sociales - PRES Université Lille Nord de France - Université de Lille, Droit et Santé)

  • Richard Ruble

    (EMLYON RECHERCHE - EMLYON Business School, GATE Lyon Saint-Étienne - Groupe d'analyse et de théorie économique - ENS Lyon - École normale supérieure - Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet [Saint-Étienne] - Université de Lyon - CNRS - Centre National de la Recherche Scientifique)

  • Bruno Versaevel

    () (EMLYON RECHERCHE - EMLYON Business School, GATE Lyon Saint-Étienne - Groupe d'analyse et de théorie économique - ENS Lyon - École normale supérieure - Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet [Saint-Étienne] - Université de Lyon - CNRS - Centre National de la Recherche Scientifique)

Abstract

We characterize sequential (preemption) and simultaneous (coordination) equilibria, as well as joint-value maximizing (cooperation) solutions, in a model of investment timing allowing for externalities in both flow pro...ts and investment costs. For two ex-ante symmetric ...rms, either preemption or attrition occur depending on the size of the investment externality. Coordination is less likely with more discounting, as in a repeated game, and more likely with higher growth and volatility. Optimal cooperation involves either monopoly or duopoly investment, the latter being either symmetric or asymmetric. Finally, these characterizations are validated by applications to standard speci...cations of capacity accumulation and of R&D investment. In the former setup, coordination is likelier if installed capacities and lumpy investments are both large. With R&D input choices, if investment synergies are large, coordination and cooperation result in the same outcomes.

Suggested Citation

  • Etienne Billette de Villemeur & Richard Ruble & Bruno Versaevel, 2011. "Coordination and Cooperation in Investment Timing with Externalities ?," Post-Print halshs-00639471, HAL.
  • Handle: RePEc:hal:journl:halshs-00639471
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00639471
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    References listed on IDEAS

    as
    1. Leahy, Dermot & Neary, J. Peter, 2005. "Symmetric research joint ventures: Cooperative substitutes and complements," International Journal of Industrial Organization, Elsevier, vol. 23(5-6), pages 381-397, June.
    2. Versaevel Bruno & Vencatachellum Désiré, 2009. "R&D Delegation in a Duopoly with Spillovers," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-42, December.
    3. Etienne Billette de Villemeur & Richard Ruble & Bruno Versaevel, 2010. "Timing Vertical Relationships," Post-Print halshs-00590310, HAL.
    4. 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.
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    6. Jacco Thijssen & Kuno Huisman & Peter Kort, 2006. "The effects of information on strategic investment and welfare," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 399-424, June.
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    Keywords

    Investment Timing; Real Options; Simultaneous Equilibrium; Joint-Value Maximization; Cooperation; Investment Externalities;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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