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Mixed Oligopoly under Demand Uncertainty

Author

Listed:
  • Anam Mahmudul

    (Department of Economics, York University)

  • Basher Syed A

    (Department of Economics, York University)

  • Chiang Shin-Hwan

    (Department of Economics, York University)

Abstract

In this paper we introduce product demand uncertainty in a mixed oligopoly model and reexamine the nature of sub-game perfect Nash equilibrium (SPNE) when firms decide in the first stage whether to lead or follow in the subsequent quantity-setting game. In the non-stochastic setting, Pal (1998) demonstrated that when a public firm competes with a domestic private firm, multiple equilibria exist but the efficient equilibrium outcome is for the public firm to follow. Matsumura (2003a) proved that when the public firm's rival is a foreign private firm, leadership of the public firm is both efficient as well as SPN equilibrium. Our stochastic model shows that when the leader must commit to output before the resolution of uncertainty, multiple SPNE is possible. Whether the equilibrium outcome is public or private leadership hinges upon the degree of privatization and market volatility. More importantly, Pareto-inefficient simultaneous production is a likely SPNE. Our results are driven by the fact that the resolution of uncertainty enhances the profits of the follower firm in a manner that is well known in real option theory.

Suggested Citation

  • Anam Mahmudul & Basher Syed A & Chiang Shin-Hwan, 2007. "Mixed Oligopoly under Demand Uncertainty," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-26, June.
    • Handle: RePEc:bpj:bejtec:v:7:y:2007:i:1:n:24
    DOI: 10.2202/1935-1704.1345
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    1. Yuanzhu Lu & Sougata Poddar, 2006. "The Choice Of Capacity In Mixed Duopoly Under Demand Uncertainty," Manchester School, University of Manchester, vol. 74(3), pages 266-272, June.
    2. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    3. Bagwell, Kyle, 1995. "Commitment and observability in games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 271-280.
    4. Adolph, B., 1996. "Commitment, Trembling Hand Imperfection and Observability in Games," SFB 373 Discussion Papers 1996,84, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    5. Fershtman, Chaim, 1990. "The Interdependence between Ownership Status and Market Structure: The Case of Privatization," Economica, London School of Economics and Political Science, vol. 57(227), pages 319-328, August.
    6. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    7. Lu, Yuanzhu, 2007. "Endogenous timing in a mixed oligopoly: Another forgotten equilibrium," Economics Letters, Elsevier, vol. 94(2), pages 226-227, February.
    8. Yuanzhu Lu, 2006. "Endogenous Timing in a Mixed Oligopoly with Foreign Competitors: the Linear Demand Case," Journal of Economics, Springer, vol. 88(1), pages 49-68, June.
    9. Kenneth Fjell & Debashis Pal, 1996. "A Mixed Oligopoly in the Presence of Foreign Private Firms," Canadian Journal of Economics, Canadian Economics Association, vol. 29(3), pages 737-743, August.
    10. William C. Merrill & Norman Schneider, 1966. "Government Firms in Oligopoly Industries: A Short-Run Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 400-412.
    11. Stennek, Johan, 1999. "The expected consumer's surplus as a welfare measure," Journal of Public Economics, Elsevier, vol. 73(2), pages 265-288, August.
    12. Jeffry M. Netter & William L. Megginson, 2001. "From State to Market: A Survey of Empirical Studies on Privatization," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 321-389, June.
    13. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    14. Jacques, Armel, 2004. "Endogenous timing in a mixed oligopoly: a forgotten equilibrium," Economics Letters, Elsevier, vol. 83(2), pages 147-148, May.
    15. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    16. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    17. Toshihiro Matsumura & Osamu Kanda, 2005. "Mixed Oligopoly at Free Entry Markets," Journal of Economics, Springer, vol. 84(1), pages 27-48, February.
    18. de Fraja, Giovanni & Delbono, Flavio, 1990. "Game Theoretic Models of Mixed Oligopoly," Journal of Economic Surveys, Wiley Blackwell, vol. 4(1), pages 1-17.
    19. Winston Chang, 2005. "Optimal Trade and Privatization Policies in an International Duopoly with Cost Asymmetry," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 14(1), pages 19-42.
    20. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    21. Midori Hirokawa & Dan Sasaki, 2001. "Endogenously Asynchronous Entries into an Uncertain Industry," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 10(3), pages 435-461, September.
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    Cited by:

    1. Tamás Balogh & Attila Tasnádi, 2012. "Does timing of decisions in a mixed duopoly matter?," Journal of Economics, Springer, vol. 106(3), pages 233-249, July.
    2. Armel Jacques, 2022. "Endogenous timing of technological choices of flexibility in a mixed duopoly," TEPP Working Paper 2022-04, TEPP.
    3. Jianhu Zhang & Changying Li, 2013. "Endogenous timing in a mixed oligopoly under demand uncertainty," Journal of Economics, Springer, vol. 108(3), pages 273-289, April.
    4. Li, Changying & Zhang, Jianhu, 2011. "Equilibrium locations in a mixed duopoly with sequential entry in real time," Economic Modelling, Elsevier, vol. 28(3), pages 1211-1218, May.

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    More about this item

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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