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Price And Quantity Competition With Asymmetric Costs In A Mixed Duopoly: A Technical Note

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  • Kangsik Choi

Abstract

We consider a mixed duopoly in which private and public firms can choose to strategically set prices or quantities when the public firm is less efficient than the private firm. Thus, even with cost asymmetry, we obtain exactly the same result (i.e., Bertrand competition) of Matsumura and Ogawa (2012) if Singh and Vives’ (1984) assumption of positive primary outputs holds. However, compared to endogenous determination of the type of contract without cost asymmetry, our main finding is that in the wider range of cost asymmetry, different type(s) of equilibrium related to or not related to the limit‐pricing strategy of the private firm can be sustained. Thus, when considering an implication on privatization, we may overestimate the welfare gain of privatization because Cournot competition takes place after privatization even though cost asymmetry exists between firms. While the result of Matsumura and Ogawa (2012) holds true if the goods are complements, we find the novel results in the case of substitutes.

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  • Kangsik Choi, 2019. "Price And Quantity Competition With Asymmetric Costs In A Mixed Duopoly: A Technical Note," Bulletin of Economic Research, Wiley Blackwell, vol. 71(1), pages 33-46, January.
    • Handle: RePEc:bla:buecrs:v:71:y:2019:i:1:p:33-46
    DOI: 10.1111/boer.12132
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    3. Paul, Arindam & De, Parikshit, 2022. "Reversal of Bertrand-Cournot Ranking for Optimal Privatization Level," MPRA Paper 116272, University Library of Munich, Germany, revised 10 Feb 2023.
    4. Tai-Liang Chen & Yuxiang Zou, 2022. "Product differentiation, privatization commitment and profitability comparisons," Journal of Economics, Springer, vol. 136(1), pages 1-24, June.

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