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Incentive and welfare implications of cross-holdings in oligopoly

Hongkun Ma (), Cheng-Zhong Qin () and Chenhang Zeng ()
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Hongkun Ma: Sun Yat-sen University
Cheng-Zhong Qin: University of California
Chenhang Zeng: Zhongnan University of Economics and Law

Economic Theory, 2024, vol. 77, issue 4, No 4, 975-997

Abstract: Abstract Competitive implications of cross-holdings have been extensively analyzed in the literature. Incentives for engaging cross-holdings and welfare effects were however rarely studied. Although a similar logic as with the merger paradox holds for Cournot oligopolies with homogeneous products and symmetric technologies, we show that there are profit incentives for firms to engage cross-holdings with asymmetric technologies. Furthermore, we show that social welfare could be enhanced with cross-holdings even though the market becomes more concentrated. We also discuss the robustness of both the submodularity of the Cournot model with respect to the presence of cross-holdings and our results with respect to product differentiation.

Keywords: Cross-holding; Joint profits; Oligopoly; Cournot equilibrium; Submodularity (search for similar items in EconPapers)
JEL-codes: D43 L13 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00199-021-01398-x

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