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Incentive and welfare implications of cross-holdings in oligopoly

Author

Listed:
  • Hongkun Ma

    (Sun Yat-sen University
    Zhuhai Huafa Investment Holdings Co. Ltd.)

  • Cheng-Zhong Qin

    (University of California)

  • Chenhang Zeng

    (Zhongnan University of Economics and Law)

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.

Suggested Citation

  • Hongkun Ma & Cheng-Zhong Qin & Chenhang Zeng, 2024. "Incentive and welfare implications of cross-holdings in oligopoly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 975-997, June.
  • Handle: RePEc:spr:joecth:v:77:y:2024:i:4:d:10.1007_s00199-021-01398-x
    DOI: 10.1007/s00199-021-01398-x
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    1. William Novshek, 1985. "On the Existence of Cournot Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 85-98.
    2. Rabah Amir & Val E. Lambson, 2000. "On the Effects of Entry in Cournot Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 235-254.
    3. Flath, David, 1991. "When is it rational for firms to acquire silent interests in rivals?," International Journal of Industrial Organization, Elsevier, vol. 9(4), pages 573-583, December.
    4. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    5. Amrita Nain & Yan Wang, 2018. "The Product Market Impact of Minority Stake Acquisitions," Management Science, INFORMS, vol. 64(2), pages 825-844, February.
    6. David Gilo & Yossi Moshe & Yossi Spiegel, 2006. "Partial Cross Ownership and Tacit Collusion," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 81-99, Spring.
    7. Amir, R., 1996. "Cournot oligopoly and theory of supermodular games," LIDAM Reprints CORE 1228, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Lahiri, Sajal & Ono, Yoshiyasu, 1988. "Helping Minor Firms Reduces Welfare," Economic Journal, Royal Economic Society, vol. 98(393), pages 1199-1202, December.
    9. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
    10. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    11. Lloyd Shapley & Martin Shubik, 1969. "Price Strategy Oligopoly With Product Variation," Kyklos, Wiley Blackwell, vol. 22(1), pages 30-44, February.
    12. Cheng-Zhong Qin & Dandan Zhu & Shengping Zhang, 2017. "A Model of Endogenous Cross-Holdings in Oligopoly," Frontiers of Economics in China-Selected Publications from Chinese Universities, Higher Education Press, vol. 12(3), pages 465-479, September.
    13. Joseph Farrell & Carl Shapiro, 1990. "Asset Ownership and Market Structure in Oligopoly," RAND Journal of Economics, The RAND Corporation, vol. 21(2), pages 275-292, Summer.
    14. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    15. Wang, X. Henry & Zhao, Jingang, 2007. "Welfare reductions from small cost reductions in differentiated oligopoly," International Journal of Industrial Organization, Elsevier, vol. 25(1), pages 173-185, February.
    16. Brito, Duarte & Cabral, Luís & Vasconcelos, Helder, 2014. "Divesting ownership in a rival," International Journal of Industrial Organization, Elsevier, vol. 34(C), pages 9-24.
    17. David Gilo & Yossi Moshe & Yossi Spiegel, 2006. "Partial cross ownership and tacit collusion," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 81-99, March.
    18. Reitman, David, 1994. "Partial Ownership Arrangements and the Potential for Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 313-322, September.
    19. 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.
    20. Nadav Levy & Yossi Spiegel & David Gilo, 2018. "Partial Vertical Integration, Ownership Structure, and Foreclosure," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 132-180, February.
    21. Sudipto Dasgupta & Kevin Tsui, 2004. "Auctions with cross-shareholdings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 163-194, July.
    22. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
    23. Dietzenbacher, Erik & Smid, Bert & Volkerink, Bjorn, 2000. "Horizontal integration in the Dutch financial sector," International Journal of Industrial Organization, Elsevier, vol. 18(8), pages 1223-1242, December.
    24. Wilson A. Alley, 1997. "Partial Ownership Arrangements and Collusion in the Automobile Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 45(2), pages 191-205, June.
    25. Trivieri, Francesco, 2007. "Does cross-ownership affect competition?: Evidence from the Italian banking industry," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 17(1), pages 79-101, February.
    26. Amir, Rabah & Erickson, Philip & Jin, Jim, 2017. "On the microeconomic foundations of linear demand for differentiated products," Journal of Economic Theory, Elsevier, vol. 169(C), pages 641-665.
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    More about this item

    Keywords

    Cross-holding; Joint profits; Oligopoly; Cournot equilibrium; Submodularity;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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