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Irreversible investment and industry equilibrium (*)

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  • Ioannis Karatzas

    ()
    (Departments of Mathematics and Statistics, Columbia University, New York, N.Y. 10027, USA)

  • Fridrik M. Baldursson

    ()
    (National Economic Institute and the Institute of Economic Studies, University of Iceland, Kalkofnsvegur 1, IS-150 Reykjavik, Iceland)

Abstract

We establish the equivalence of competitive industry equilibrium with a central planner's decision problem under uncertainty, when investment is irreversible. The existence of industry equilibrium is derived, and it is shown that myopic behavior on the part of small agents is harmless, in the sense that it leads to the same decisions as full rational expectations do. Our model is set in continuous time and allows for very general forms of randomness. The methods are based on the probabilistic approach to singular stochastic control theory and its connections with optimal stopping problems.

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Bibliographic Info

Article provided by Springer in its journal Finance and Stochastics.

Volume (Year): 1 (1996)
Issue (Month): 1 ()
Pages: 69-89

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Handle: RePEc:spr:finsto:v:1:y:1996:i:1:p:69-89

Note: received: April 1996; final version received: September 1996
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Web page: http://www.springerlink.com/content/101164/

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Related research

Keywords: Irreversible investment under uncertainty; industry equilibrium; optimality of myopic decisions; singular stochastic control; optimal stopping;

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Cited by:
  1. 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.
  2. 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).
  3. Luis H.R. Alvarez & Erkki Koskela, 2004. "Irreversible investment under interest rate variability: new results," Others 0404007, EconWPA.
  4. Giorgio Ferrari, 2012. "On an Integral Equation for the Free-Boundary of Stochastic, Irreversible Investment Problems," Papers 1211.0412, arXiv.org, revised Jul 2013.
  5. Bernt Oksendal & Agnès Sulem, 2011. "Singular stochastic control and optimal stopping with partial information of Itô--Lévy processes," Working Papers inria-00614279, HAL.
  6. Frank Riedel & Xia Su, 2011. "On irreversible investment," Finance and Stochastics, Springer, vol. 15(4), pages 607-633, December.
  7. Luis H. R. Alvarez & Erkki Koskela, 2006. "Irreversible Investment under Interest Rate Variability: Some Generalizations," The Journal of Business, University of Chicago Press, vol. 79(2), pages 623-644, March.
  8. Feil, Jan-Henning & Musshoff, Oliver, 2012. "Policy Impact Analysis on Investments and Disinvestments under Competition: A Real Options Approach," 2012 Conference (56th), February 7-10, 2012, Freemantle, Australia 124294, Australian Agricultural and Resource Economics Society.
  9. Xin Guo & Pascal Tomecek, 2008. "Solving Singular Control from Optimal Switching," Asia-Pacific Financial Markets, Springer, vol. 15(1), pages 25-45, March.
  10. Jan-Henrik Steg, 2012. "Irreversible investment in oligopoly," Finance and Stochastics, Springer, vol. 16(2), pages 207-224, April.
  11. Maria B. Chiarolla & Giorgio Ferrari, 2011. "Identifying the Free Boundary of a Stochastic, Irreversible Investment Problem via the Bank-El Karoui Representation Theorem," Papers 1108.4886, arXiv.org, revised Dec 2013.
  12. Maria B. Chiarolla & Giorgio Ferrari & Frank Riedel, 2012. "Generalized Kuhn-Tucker Conditions for N-Firm Stochastic Irreversible Investment under Limited Resources," Working Papers 463, Bielefeld University, Center for Mathematical Economics.
  13. Shah, Sudhir A., 2005. "Optimal management of durable pollution," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1121-1164, June.
  14. Tiziano De Angelis & Giorgio Ferrari, 2013. "A Stochastic Reversible Investment Problem on a Finite-Time Horizon: Free Boundary Analysis," Working Papers 477, Bielefeld University, Center for Mathematical Economics.
  15. Joachim Gahungu and Yves Smeers, 2012. "A Real Options Model for Electricity Capacity Expansion," RSCAS Working Papers 2012/08, European University Institute.
  16. Keppo, Jussi & Lu, Hao, 2003. "Real options and a large producer: the case of electricity markets," Energy Economics, Elsevier, vol. 25(5), pages 459-472, September.
  17. Jaime Casassus & Pierre Collin-Dufresne & Bryan R. Routledge, 2005. "Equilibrium Commodity Prices with Irreversible Investment and Non-Linear Technology," NBER Working Papers 11864, National Bureau of Economic Research, Inc.
  18. Giorgio Ferrari, 2012. "On an Integral Equation for the Free Boundary of Stochastic, Irreversible Investment Problems," Working Papers 471, Bielefeld University, Center for Mathematical Economics.

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