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Investment timing and vertical relationships

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  • Etienne Billette de Villemeur

    (GREMAQ - Groupe de recherche en économie mathématique et quantitative - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique)

  • Richard Ruble

    (EM - EMLyon Business School, GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

  • Bruno Versaevel

    (EM - EMLyon Business School, GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We show that the standard analysis of vertical relationships transposes directly to investment dynamics. Thus, when a firm undertaking a project requires an outside supplier (e.g., an equipment manufacturer) to provide it with a discrete input to serve a growing but uncertain demand, and if the supplier has market power, investment occurs too late from an industry standpoint. The distortion in firm decisions is characterized by a Lerner-type index. Despite the underlying investment option, greater volatility can result in a lower value for both firms. We examine several contractual alternatives to induce efficient timing, a novel vertical restraint being for the upstream to sell a call option on the input. We also extend the model to allow for downstream duopoly. When downstream firms are engaged in a preemption race, the upstream firm sells the input to the first investor at a discount such that the race to preempt exactly offsets the vertical distortion, and this leader invests at the optimal time. These results are illustrated with a case study drawn from the pharmaceutical industry.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Etienne Billette de Villemeur & Richard Ruble & Bruno Versaevel, 2014. "Investment timing and vertical relationships," Post-Print halshs-02096674, HAL.
  • Handle: RePEc:hal:journl:halshs-02096674
    DOI: 10.1016/j.ijindorg.2013.06.004
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Pennings, Enrico, 2017. "Real options with ex-post division of the surplus," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 200-206.
    2. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2014. "Innovation and imitation incentives in dynamic duopoly," MPRA Paper 59453, University Library of Munich, Germany.
    3. Di Corato, Luca & Moretto, Michele & Rossini, Gianpaolo, 2017. "Financing flexibility: The case of outsourcing," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 35-65.
    4. M. Moretto & G. Rossini, 2015. "Vertical flexibility, outsourcing and the financial choices of the firm," Working Papers wp1009, Dipartimento Scienze Economiche, Universita' di Bologna.
    5. 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.
    6. Dimitrios Zormpas, 2017. "How vertical relationships and external funding affect investment efficiency and timing?," 2017 Papers pzo81, Job Market Papers.
    7. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2015. "On the timing of innovation and imitation," MPRA Paper 69161, University Library of Munich, Germany.
    8. Silaghi, Florina & Moraux, Franck, 2022. "Trade credit contracts: Design and regulation," European Journal of Operational Research, Elsevier, vol. 296(3), pages 980-992.
    9. 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.
    10. Zormpas, Dimitrios, 2020. "Investments under vertical relations and agency conflicts: A real options approach," International Review of Economics & Finance, Elsevier, vol. 70(C), pages 273-287.
    11. Dimitrios Zormpas, 2021. "Jointly Held Investment Options and Vertical Relationships," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(4), pages 513-530, June.
    12. Maria Alipranti & Emmanuel Petrakis, 2022. "Upstream market structure and the timing of technology adoption," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(5), pages 1298-1310, July.
    13. 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.

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    More about this item

    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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