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Strategic investment with positive externalities

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  • Steg, Jan-Henrik
  • Thijssen, Jacco J.J.

Abstract

We study strategic investment in continuous time with positive externalities of changing magnitude. Our model particularly allows for two correlated risk factors. Constructing subgame-perfect equilibria with pure and mixed strategies, we observe the novel effect that it is important for the firms to anticipate preemption. In fact, the presence of a second risk factor implies also an additional strategic risk. We quantify the associated extra waiting cost and show that it is ex ante uncertain whether investment will happen when there is a first- or a second-mover advantage. Our formal arguments involve several methodological contributions. In addition, we provide detailed specifications of our basic model to address various applications.

Suggested Citation

  • Steg, Jan-Henrik & Thijssen, Jacco J.J., 2023. "Strategic investment with positive externalities," Games and Economic Behavior, Elsevier, vol. 138(C), pages 1-21.
    • Handle: RePEc:eee:gamebe:v:138:y:2023:i:c:p:1-21
    DOI: 10.1016/j.geb.2022.11.013
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    References listed on IDEAS

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    1. Steg, Jan-Henrik, 2018. "Preemptive investment under uncertainty," Games and Economic Behavior, Elsevier, vol. 110(C), pages 90-119.
    2. Decamps, Jean-Paul & Mariotti, Thomas, 2004. "Investment timing and learning externalities," Journal of Economic Theory, Elsevier, vol. 118(1), pages 80-102, September.
    3. Anupam Agrawal & Youngsoo Kim & H. Dharma Kwon & Suresh Muthulingam, 2016. "Investment in Shared Suppliers: Effect of Learning, Spillover, and Competition," Production and Operations Management, Production and Operations Management Society, vol. 25(4), pages 736-750, April.
    4. 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.
    5. Georgiadis, George & Kim, Youngsoo & Kwon, H. Dharma, 2022. "The absence of attrition in a war of attrition under complete information," Games and Economic Behavior, Elsevier, vol. 131(C), pages 171-185.
    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.
    7. Marvin B. Lieberman & David B. Montgomery, 1988. "First‐mover advantages," Strategic Management Journal, Wiley Blackwell, vol. 9(S1), pages 41-58, June.
    8. Steg, Jan-Henrik, 2015. "Symmetric equilibria in stochastic timing games," Center for Mathematical Economics Working Papers 543, Center for Mathematical Economics, Bielefeld University.
    9. Huisman, K.J.M. & Kort, P.M. & Pawlina, G. & Thijssen, J.J.J., 2003. "Strategic Investment Under Uncertainty : Merging Real Options with Game Theory," Discussion Paper 2003-6, Tilburg University, Center for Economic Research.
    10. 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.
    11. Pauli Murto, 2004. "Exit in Duopoly Under Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 111-127, Spring.
    12. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    13. Thijssen, Jacco J.J., 2010. "Preemption in a real option game with a first mover advantage and player-specific uncertainty," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2448-2462, November.
    14. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
    15. Dirk Hackbarth & Erwan Morellec, 2008. "Stock Returns in Mergers and Acquisitions," Journal of Finance, American Finance Association, vol. 63(3), pages 1213-1252, June.
    16. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    17. H. Dharma Kwon & Wenxin Xu & Anupam Agrawal & Suresh Muthulingam, 2016. "Impact of Bayesian Learning and Externalities on Strategic Investment," Management Science, INFORMS, vol. 62(2), pages 550-570, February.
    18. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    19. Katz, Michael L & Shapiro, Carl, 1987. "R&D Rivalry with Licensing or Imitation," American Economic Review, American Economic Association, vol. 77(3), pages 402-420, June.
    20. 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.
    21. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    22. Lambrecht, Bart M, 2001. "The Impact of Debt Financing on Entry and Exit in a Duopoly," Review of Financial Studies, Society for Financial Studies, vol. 14(3), pages 765-804.
    23. Thijssen, Jacco J.J., 2008. "Optimal and strategic timing of mergers and acquisitions motivated by synergies and risk diversification," Journal of Economic Dynamics and Control, Elsevier, vol. 32(5), pages 1701-1720, May.
    24. Clayton M. Christensen & Fernando F. Suárez & James M. Utterback, 1998. "Strategies for Survival in Fast-Changing Industries," Management Science, INFORMS, vol. 44(12-Part-2), pages 207-220, December.
    25. Grenadier, Steven R, 1996. "The Strategic Exercise of Options: Development Cascades and Overbuilding in Real Estate Markets," Journal of Finance, American Finance Association, vol. 51(5), pages 1653-1679, December.
    26. Thomas Cleff & Klaus Rennings, 2014. "Are There Any First And Second Mover Advantages For Eco-Pioneers? Lead Market Strategies For Environmental Innovation," Interdisciplinary Management Research, Josip Juraj Strossmayer University of Osijek, Faculty of Economics, Croatia, vol. 10, pages 164-189.
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    More about this item

    Keywords

    Real options; Externalities; Preemption; War of attrition; Optimal stopping; Multi-dimensional;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • 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
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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