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A Dynamic Duopoly Investment Game without Commitment under Uncertain Market Expansion

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  • Marcel Boyer

    ()

  • Pierre Lasserre

    ()

  • Michel Moreaux

    ()

Abstract

We model capacity-building investments in a homogeneous product duopoly facing uncertain demand growth. Capacity building is achieved through the addition of production units that are durable and lumpy and whose cost is irreversible. While building their capacity over time, firms compete à la Cournot in the product market given their installed capacity. There is no exogenous order of moves, no commitment regarding future decisions, and no finite horizon. We investigate Markov Perfect Equilibrium (MPE) paths of the investment game, which may include episodes during which firms invest at different times, a preemption pattern, and episodes in which firms invest simultaneously, a tacit collusion pattern. These episodes may alternate and are typically several. When firms have yet to invest in capacity, the sole pattern that is MPE-compatible is a preemption episode: firms invest at different times but 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: firms invest simultaneously at a postponed time (hence holding back production in the meantime), thereby generating an investment wave in the industry. Such investment episodes are more likely with higher demand volatility, faster market growth, and lower cost of capital (discount rate).

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Bibliographic Info

Paper provided by CIRANO in its series CIRANO Working Papers with number 2011s-65.

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Date of creation: 01 Oct 2011
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Handle: RePEc:cir:cirwor:2011s-65

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Keywords: Real Options; Dynamic Duopoly; Lumpy Investments; Preemption; Investment Waves; Tacit Collusion;

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References

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  1. Helen Weeds, 2002. "Strategic Delay in a Real Options Model of R&D Competition," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 729-747.
  2. Richard J. Gilbert & Richard G. Harris, 1984. "Competition with Lumpy Investment," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 197-212, Summer.
  3. Beth Allen & Raymond Deneckere & Tom Faith & Dan Kovenock, 1995. "Capacity precommitment as a barrier to entry: a Bertrand-Edgeworth approach," Staff Report 187, Federal Reserve Bank of Minneapolis.
  4. Marcel Boyer & Pierre Lasserre & Thomas Mariotti & Michel Moreaux, 2001. "Real Options, Preemption, and the Dynamics of Industry Investments," CIRANO Working Papers 2001s-64, CIRANO.
  5. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
  6. Volker Nocke, 2007. "Collusion and dynamic (under-) investment in quality," RAND Journal of Economics, RAND Corporation, vol. 38(1), pages 227-249, 03.
  7. David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
  8. 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.
  9. Huisman, K.J.M., 2000. "Technology Investment: A Game Theoretic Real Options Approach," Open Access publications from Tilburg University urn:nbn:nl:ui:12-84087, Tilburg University.
  10. Baldursson, Fridrik M., 1998. "Irreversible investment under uncertainty in oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 627-644, April.
  11. 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.
  12. Dan Kovenock & Raymond J. Deneckere, 1996. "Bertrand-Edgeworth duopoly with unit cost asymmetry (*)," Economic Theory, Springer, vol. 8(1), pages 1-25.
  13. Fudenberg, Drew & Tirole, Jean, 1985. "Preemption and Rent Equilization in the Adoption of New Technology," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 383-401, July.
  14. Marcel Boyer & Pierre Lasserre & Thomas Mariotti & Michel Moreaux, 2001. "Preemption and Rent Dissipation under Bertrand Competition," Cahiers de recherche du Département des sciences économiques, UQAM 20-04, Université du Québec à Montréal, Département des sciences économiques.
  15. 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.
  16. Dutta Prajit K., 1995. "Collusion, Discounting and Dynamic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 289-306, June.
  17. Lambrecht, Bart & Perraudin, William, 2003. "Real options and preemption under incomplete information," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 619-643, February.
  18. Boyer, M. & Moreaux, M., 1988. "Endogenous Rationing in a Differentiated Product Duopoly," Cahiers de recherche 8830, Universite de Montreal, Departement de sciences economiques.
  19. 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.
  20. Henry, Claude, 1974. "Investment Decisions Under Uncertainty: The "Irreversibility Effect."," American Economic Review, American Economic Association, vol. 64(6), pages 1006-12, December.
  21. 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.
  22. Dixit, Avinash, 1979. "The Role of Investment in Entry-Deterrence," The Warwick Economics Research Paper Series (TWERPS) 140, University of Warwick, Department of Economics.
  23. Leahy, John V, 1993. "Investment in Competitive Equilibrium: The Optimality of Myopic Behavior," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 1105-33, November.
  24. 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.
  25. Posner, Richard A, 1975. "The Social Costs of Monopoly and Regulation," Journal of Political Economy, University of Chicago Press, vol. 83(4), pages 807-27, August.
  26. Decamps, Jean-Paul & Mariotti, Thomas, 2004. "Investment timing and learning externalities," Journal of Economic Theory, Elsevier, vol. 118(1), pages 80-102, September.
  27. Athey, Susan & Schmutzler, Armin, 2001. "Investment and Market Dominance," RAND Journal of Economics, The RAND Corporation, vol. 32(1), pages 1-26, Spring.
  28. Boyer, M. & Moreaux, M., 1986. "Rational Rationing in Stackelerbg Equilibria," Cahiers de recherche 8631, Universite de Montreal, Departement de sciences economiques.
  29. 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.
  30. Christain Bayer, 2004. "Investment Timing And Predatory Behaviour In Duopoly With Debt," Royal Economic Society Annual Conference 2004 8, Royal Economic Society.
  31. Fudenberg, Drew & Tirole, Jean, 1987. "Understanding Rent Dissipation: On the Use of Game Theory in Industrial Organization," American Economic Review, American Economic Association, vol. 77(2), pages 176-83, May.
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Citations

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Cited by:
  1. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2013. "Investment Timing and Vertical Relationships," MPRA Paper 47804, University Library of Munich, Germany.
  2. Marie-Laure Allain & Marcel Boyer & Rachidi Kotchoni & Jean-Pierre Ponssard, 2011. "The Determination of Optimal Fines in Cartel Cases - The Myth of Underdeterrence," CIRANO Working Papers 2011s-34, CIRANO.
  3. Richard Ruble & Bruno Versaevel, 2012. "On the tacit collusion equilibria of a dynamic duopoly investment game," Economics Bulletin, AccessEcon, vol. 32(4), pages 2817-2827.
  4. 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.
  5. de Villemeur, Etienne Billette & Ruble, Richard & Versaevel, Bruno, 2013. "Caveat preemptor: Coordination failure and success in a duopoly investment game," Economics Letters, Elsevier, vol. 118(2), pages 250-254.
  6. Huisman, K.J.M. & Kort, P.M., 2013. "Strategic Capacity Investment Under uncertainty," Discussion Paper 2013-003, Tilburg University, Center for Economic Research.
  7. Etienne Billette de Villemeur & Richard Ruble & Bruno Versaevel, 2011. "Coordination and Cooperation in Investment Timing with Externalities?," Working Papers 1128, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
  8. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
  9. Thomas Fagart, 2014. "Markovian Equilibrium in a Model of Investment Under Imperfect Competition," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01020398, HAL.
  10. Marie-Laure Allain & Marcel Boyer & Rachidi Kotchoni & Jean-Pierre Ponssard, 2013. "Are Cartel Fines Optimal? Theory and Evidence from the European Union," CIRANO Working Papers 2013s-24, CIRANO.

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