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Price versus quantity in a mixed duopoly: The case of relative profit maximization

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  • Nakamura, Yasuhiko

Abstract

This paper examines the endogenous choice problem of each firm's price or quantity contract in a mixed duopoly composed of one social welfare maximizing public firm and one relative profit-maximizing private firm. In this paper, we show that unless the degree of product differentiation and the degree of importance of the private firm's relative performance are low, the quantity competition can analytically become the unique equilibrium market structure on the basis of the dominant strategies of the public firm and the private firm when the degree of importance of firm 1's relative performance is sufficiently high. This result contrasts strikingly with that obtained in a standard mixed duopoly composed of one social welfare-maximizing public firm and one absolute profit maximizing private firm. In addition, even in the area wherein both the degree of product differentiation and the degree of the private firm's relative performance are sufficiently low, through numerical simulations, the quantity competition tends to become the unique equilibrium market structure when the degree of importance of the private firm's relative performance is sufficiently high, whereas the price competition tends to become the unique equilibrium market structure when the degree of importance of the private firm's relative performance is sufficiently low.

Suggested Citation

  • Nakamura, Yasuhiko, 2015. "Price versus quantity in a mixed duopoly: The case of relative profit maximization," Economic Modelling, Elsevier, vol. 44(C), pages 37-43.
  • Handle: RePEc:eee:ecmode:v:44:y:2015:i:c:p:37-43
    DOI: 10.1016/j.econmod.2014.09.019
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    References listed on IDEAS

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    1. Toshihiro Matsumura & Noriaki Matsushima, 2012. "Competitiveness And Stability Of Collusive Behavior," Bulletin of Economic Research, Wiley Blackwell, vol. 64(Supplemen), pages 22-31, December.
    2. repec:bla:buecrs:v:64:y:2012:i::p:s22-s31 is not listed on IDEAS
    3. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58, pages 211-211.
    4. Jennifer C. Coats & William S. Neilson, 2005. "Beliefs About Other-Regarding Preferences in a Sequential Public Goods Game," Economic Inquiry, Western Economic Association International, vol. 43(3), pages 614-622, July.
    5. Ya‐chin Wang & Leonard F.s. Wang, 2009. "Equivalence Of Competition Mode In A Vertically Differentiated Duopoly With Delegation," South African Journal of Economics, Economic Society of South Africa, vol. 77(4), pages 577-590, December.
    6. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
    7. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    8. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    9. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    10. Leonard Wang & Ya-Chin Wang, 2010. "Input Pricing and Market Share Delegation in a Vertically Related Market: Is the Timing Order Relevant?," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 17(2), pages 207-221.
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    Cited by:

    1. Yasuhiko Nakamura, 2019. "Combining the Endogenous Choice of the Timing of Setting the Levels of Strategic Contracts and Their Contents in a Managerial Mixed Duopoly," Journal of Industry, Competition and Trade, Springer, vol. 19(2), pages 235-261, June.
    2. Amarjyoti Mahanta, 2019. "Endogenous strategic variable in a mixed duopoly," Journal of Economics, Springer, vol. 128(1), pages 47-65, September.
    3. Wang, Chia-Chi & Chiou, Jiunn-Rong, 2018. "Optimal privatization policy with Bertrand competition," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 538-546.
    4. Xu, Lili & Cho, Sumi & Lee, Sang-Ho, 2016. "Emission tax and optimal privatization in Cournot–Bertrand comparison," Economic Modelling, Elsevier, vol. 55(C), pages 73-82.
    5. Nguyen, Xuan, 2015. "On the efficiency of private and state-owned enterprises in mixed markets," Economic Modelling, Elsevier, vol. 50(C), pages 130-137.

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