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A Dynamic Duopoly Investment Game under Uncertain Market Growth

  • Boyer, Marcel
  • Lasserre, Pierre
  • Moreaux, Michel

We model investments in capacity in a homogeneous product duopoly facing uncertain demand growth. Capacity building is achieved through adding production units that are durable and lumpy and whose cost is irreversible. There is no exogenous order of moves, no first-mover or second-mover advantage, no commitment, and no finite horizon; while building their capacity over time, firms compete `a la Cournot in the product market. We investigate Markov Perfect Equilibrium (MPE) paths of the investment game, which may include preemption episodes and tacit collusion episodes. However, when firms have not yet invested in capacity, the sole pattern that is MPEcompatible is a preemption episode with firms investing at different times, but both have equal value. The first such investment may occur earlier, and therefore be riskier, than socially optimal. When both firms hold capacity, tacit collusion episodes may be MPE-compatible with firms investing simultaneously at a postponed time (generating an investment wave in the industry). We show that the emergence of such episodes is favored by higher demand volatility, faster market growth, and lower discount rate (cost of capital).

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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 10-171.

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Date of creation: 06 Jul 2010
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Handle: RePEc:tse:wpaper:22855
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  1. Genc, Talat S. & Reynolds, Stanley S. & Sen, Suvrajeet, 2007. "Dynamic oligopolistic games under uncertainty: A stochastic programming approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 55-80, January.
  2. Pawlina, G. & Kort, P.M., 2001. "Real Options in an Aymmetric Duopoly : Who Benefits from your Competitive Disadvantage," Discussion Paper 2001-95, Tilburg University, Center for Economic Research.
  3. 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.
  4. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
  5. Huisman, Kuno J. M. & Kort, Peter M., 2004. "Strategic technology adoption taking into account future technological improvements: A real options approach," European Journal of Operational Research, Elsevier, vol. 159(3), pages 705-728, December.
  6. Bayer, Christian, 2007. "Investment timing and predatory behavior in a duopoly with endogenous exit," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3069-3109, September.
  7. Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
  8. Baldursson, Fridrik M., 1998. "Irreversible investment under uncertainty in oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 627-644, April.
  9. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, volume 1, number 5474.
  10. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, June.
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