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Open-Loop Equilibria and Perfect Competition in Option Exercise Games

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  • Kerry Back
  • Dirk Paulsen

Abstract

The investment boundaries defined by Grenadier (2002) for an oligopoly investment game determine equilibria in open-loop strategies. As closed-loop strategies, they are not equilibria, because any firm by investing sooner can preempt the investments of other firms and expropriate the growth options. The perfectly competitive outcome is produced by closed-loop strategies that are mutually best responses. In this equilibrium, the option to delay investment has zero value, and the simple NPV rule is followed by all firms. The Author 2009. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org., Oxford University Press.

Suggested Citation

  • Kerry Back & Dirk Paulsen, 2009. "Open-Loop Equilibria and Perfect Competition in Option Exercise Games," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4531-4552, November.
  • Handle: RePEc:oup:rfinst:v:22:y:2009:i:11:p:4531-4552
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Di Corato, Luca & Moretto, Michele & Vergalli, Sergio, 2014. "Long-run investment under uncertain demand," Economic Modelling, Elsevier, vol. 41(C), pages 80-89.
    4. Jan-Henrik Steg, 2012. "Irreversible investment in oligopoly," Finance and Stochastics, Springer, vol. 16(2), pages 207-224, April.
    5. Boyarchenko, Svetlana & Levendorskiĭ, Sergei, 2014. "Preemption games under Lévy uncertainty," Games and Economic Behavior, Elsevier, vol. 88(C), pages 354-380.
    6. René Aïd & Luciano Campi & Nicolas Langrené & Huyên Pham, 2012. "A probabilistic numerical method for optimal multiple switching problem and application to investments in electricity generation," Working Papers hal-00747229, HAL.
    7. GAHUNGU, Joachim & SMEERS, Yves, 2011. "A real options model for electricity capacity expansion," CORE Discussion Papers 2011044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Giorgio Ferrari & Frank Riedel & Jan-Henrik Steg, 2013. "Continuous-Time Public Good Contribution under Uncertainty: A Stochastic Control Approach," Papers 1307.2849, arXiv.org, revised Oct 2015.
    9. Thomas Fagart, 2014. "Markovian Equilibrium in a Model of Investment Under Imperfect Competition," Documents de travail du Centre d'Economie de la Sorbonne 14039, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    10. Bustamante, Maria Cecilia, 2011. "Strategic investment, industry concentration and the cross section of returns," LSE Research Online Documents on Economics 37454, London School of Economics and Political Science, LSE Library.
    11. Li, X. & Zuidwijk, R.A. & de Koster, M.B.M. & Dekker, R., 2016. "Competitive Capacity Investment under Uncertainty," ERIM Report Series Research in Management ERS-2016-005-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    12. 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.
    13. Thomas Fagart, 2015. "Lack of Preemption Under Irreversible Investment," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01243559, HAL.
    14. Li, Jay Y. & Mauer, David C., 2016. "Financing uncertain growth," Journal of Corporate Finance, Elsevier, vol. 41(C), pages 241-261.
    15. Huang, Hsing-Hua & Chuang, Wei-Liang, 2013. "Real options game over the business cycle," Economic Modelling, Elsevier, vol. 35(C), pages 715-721.
    16. Joachim Gahungu and Yves Smeers, 2012. "A Real Options Model for Electricity Capacity Expansion," RSCAS Working Papers 2012/08, European University Institute.
    17. Steg, Jan-Henrik, 2013. "Strategic Capital Accumulation with Singular Control," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79948, Verein für Socialpolitik / German Economic Association.
    18. repec:hal:journl:halshs-01243559 is not listed on IDEAS
    19. de Angelis, Tiziano & Ferrari, Giorgio, 2016. "Stochastic nonzero-sum games: a new connection between singular control and optimal stopping," Center for Mathematical Economics Working Papers 565, Center for Mathematical Economics, Bielefeld University.
    20. Maria Cecillia Bustamante, 2011. "Strategic Investment, Industry Concentration and the Cross Section of Returns," FMG Discussion Papers dp681, Financial Markets Group.
    21. Ren'e Aid & Luciano Campi & Nicolas Langren'e & Huy^en Pham, 2012. "A probabilistic numerical method for optimal multiple switching problem and application to investments in electricity generation," Papers 1210.8175, arXiv.org.
    22. Ferrari, Giorgio & Riedel, Frank & Steg, Jan-Henrik, 2016. "Continuous-Time Public Good Contribution under Uncertainty," Center for Mathematical Economics Working Papers 485, Center for Mathematical Economics, Bielefeld University.
    23. Boyarchenko, Svetlana & Levendorskii, Sergei, 2010. "Optimal stopping in Levy models, for non-monotone discontinuous payoffs," MPRA Paper 27999, University Library of Munich, Germany.

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