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Lumps and Clusters in Duopolistic Investment Games: An Early Exercise Premium Approach

  • Doriana Ruffino


    (Boston University, Department of Economics)

  • Jonathan Treussard


    (Boston University, Department of Economics)

This paper exploits the early exercise premium representation to investigate strate- gic investment policies in a duopolistic continuous-time real options game. Assuming exogenous firm roles, we find that (i) as the leader installs its newly purchased capital, the follower's optimal investment policy displays a monotonically decreasing pattern, which finds its justifcation in the temporary reallocation of the leader's revenues to its competitor, and (ii) once the leader has completed its investment process, the follower's trigger boundary is proportional to the fixed cost of investment weighted by the present value of future revenues per unit of market demand. Moreover, we demonstrate that the follower's willingness to delay investment is enhanced by a longer time-to-build and a more volatile market demand, while it is weakened by a higher quality improvement upon replacement and by a higher expected growth in market demand. Finally, we study the probability that the follower mimics the leader?s decision within the leader's time-to-build window.

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Paper provided by Boston University - Department of Economics in its series Boston University - Department of Economics - Working Papers Series with number WP2006-044.

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Length: 50 pages
Date of creation: Aug 2006
Date of revision:
Handle: RePEc:bos:wpaper:wp2006-044
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  1. Anil Kashyap & Francois Gourio, 2007. "Investment Spikes: New Facts and a General Equilibrium Exploration," 2007 Meeting Papers 148, Society for Economic Dynamics.
  2. S. D. Jacka, 1991. "Optimal Stopping and the American Put," Mathematical Finance, Wiley Blackwell, vol. 1(2), pages 1-14.
  3. Siim Kallast & Andi Kivinukk, 2003. "Pricing and Hedging American Options Using Approximations by Kim Integral Equations," Review of Finance, Springer, vol. 7(3), pages 361-383.
  4. Russell Cooper & John Haltiwanger & Laura Power, 1995. "Machine Replacement and the Business Cycle: Lumps and Bumps," Papers 0062, Boston University - Industry Studies Programme.
  5. 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.
  6. Grossman, Gene M & Helpman, Elhanan, 1991. "Quality Ladders in the Theory of Growth," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 43-61, January.
  7. Doriana Ruffino & Jonathan Treussard, 2006. "A Study of Inaction in Investment Games via the Early Exercise Premium Representation," Boston University - Department of Economics - Working Papers Series WP2006-040, Boston University - Department of Economics.
  8. Broadie, Mark & Detemple, Jerome, 1996. "American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods," Review of Financial Studies, Society for Financial Studies, vol. 9(4), pages 1211-50.
  9. 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 1653-79, December.
  10. Caballero, Ricardo J. & Pindyck, Robert S., 1992. "Uncertainty, investment, and industry evolution," Working papers 3460-92., Massachusetts Institute of Technology (MIT), Sloan School of Management.
  11. Stenbacka, Rune & Tombak, Mihkel M., 1994. "Strategic timing of adoption of new technologies under uncertainty," International Journal of Industrial Organization, Elsevier, vol. 12(3), pages 387-411, September.
  12. Peter Carr & Robert Jarrow & Ravi Myneni, 1992. "Alternative Characterizations Of American Put Options," Mathematical Finance, Wiley Blackwell, vol. 2(2), pages 87-106.
  13. Bouis, R. & Huisman, K.J.M. & Kort, P.M., 2006. "Investment in Oligopoly under Uncertainty : The Accordion Effect," Discussion Paper 2006-69, Tilburg University, Center for Economic Research.
  14. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  15. Huisman, K.J.M. & Kort, P.M., 1998. "A Further Analysis on Strategic Timing of Adoption of New Technologies under Uncertainty," Discussion Paper 1998-03, Tilburg University, Center for Economic Research.
  16. Gilbert, Richard & Harris, Richard G., 1984. "Competition with Lumpy Investment," Department of Economics, Working Paper Series qt11v5q20z, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
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