IDEAS home Printed from https://ideas.repec.org/p/ind/igiwpp/2024-003.html

Cross-ownership in duopoly: Are there any incentives to divest?

Author

Listed:
  • Rupayan Pal

    (Indira Gandhi Institute of Development Research)

  • Emmanuel Petrakis

    (Departamento de Econom a, Universidad Carlos III de Madrid)

Abstract

This paper shows that in a duopoly a firm has no incentives to divest its passive shares in its rival when firms' strategies are strategic complements. This holds independently whether goods are substitutes or complements and whether firms engage in simultaneous or sequential move product market competition. However, if firms' strategies are strategic substitutes and are engaged in simultaneous move competition, it is optimal for both firms to fully divest their shares in their rivals under a private placement mechanism via independent intermediaries or under competitive bidding. Yet, in the sequential move game only the follower has such incentives. Notably, under a private placement mechanism via a common intermediary, there are circumstances under which there are partial or no firms' divestment incentives, highlighting that the divestment mechanism employed by firms may have a crucial role on their divestment incentives.

Suggested Citation

  • Rupayan Pal & Emmanuel Petrakis, 2024. "Cross-ownership in duopoly: Are there any incentives to divest?," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2024-003, Indira Gandhi Institute of Development Research, Mumbai, India.
  • Handle: RePEc:ind:igiwpp:2024-003
    as

    Download full text from publisher

    File URL: http://www.igidr.ac.in/pdf/publication/WP-2024-003.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. José Azar & Martin C. Schmalz & Isabel Tecu, 2018. "Anticompetitive Effects of Common Ownership," Journal of Finance, American Finance Association, vol. 73(4), pages 1513-1565, August.
    2. Luigi Zingales, 2009. "The Future of Securities Regulation," Journal of Accounting Research, John Wiley & Sons, Ltd., vol. 47(2), pages 391-425, May.
    3. Matthew J. Clayton & Bjorn N. Jorgensen, 2005. "Optimal Cross Holding with Externalities and Strategic Interactions," The Journal of Business, University of Chicago Press, vol. 78(4), pages 1505-1522, July.
    4. Sven Heim & Kai Hüschelrath & Ulrich Laitenberger & Yossi Spiegel, 2022. "The Anticompetitive Effect of Minority Share Acquisitions: Evidence from the Introduction of National Leniency Programs," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 366-410, February.
    5. 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.
    6. 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.
    7. Hariskos, W. & Königstein, M. & Papadopoulos, K.G., 2022. "Anti-competitive effects of partial cross-ownership: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 193(C), pages 399-409.
    8. Ricardo Gonçalves, 2023. "Backward Partial Vertical Integration Through Private Placement," Journal of Industry, Competition and Trade, Springer, vol. 23(3), pages 101-122, December.
    9. Reitman, David, 1994. "Partial Ownership Arrangements and the Potential for Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 313-322, September.
    10. Gao, Xuechen & Hsu, Yuan-Teng & Wang, Xuewu (Wesley) & Yuan, Weici, 2022. "The choice of flotation methods: Evidence from Chinese seasoned equity offerings," Journal of International Money and Finance, Elsevier, vol. 129(C).
    11. Wruck, Karen H. & Wu, YiLin, 2009. "Relationships, corporate governance, and performance: Evidence from private placements of common stock," Journal of Corporate Finance, Elsevier, vol. 15(1), pages 30-47, February.
    12. Dai, Miao & Benchekroun, Hassan & Long, Ngo Van, 2022. "On the profitability of cross-ownership in Cournot nonrenewable resource oligopolies: Stock size matters," Journal of Environmental Economics and Management, Elsevier, vol. 111(C).
    13. Charlene Cosandier & Filomena Garcia & Malgorzata Knauff, 2018. "Price competition with differentiated goods and incomplete product awareness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 681-705, October.
    14. Patrick Bolton & Tano Santos & Jose A. Scheinkman, 2016. "Cream-Skimming in Financial Markets," Journal of Finance, American Finance Association, vol. 71(2), pages 709-736, April.
    15. Emiel Maasland & Sander Onderstal, 2007. "Auctions with Financial Externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 551-574, September.
    16. Arghya Ghosh & Hodaka Morita, 2017. "Knowledge transfer and partial equity ownership," RAND Journal of Economics, RAND Corporation, vol. 48(4), pages 1044-1067, December.
    17. Arijit Mukherjee & Sarbajit Sengupta, 2001. "Joint Ventures versus Fully Owned Subsidiaries: Multinational Strategies in Liberalizing Economies," Review of International Economics, Wiley Blackwell, vol. 9(1), pages 163-180, February.
    18. José Azar & Sahil Raina & Martin Schmalz, 2022. "Ultimate ownership and bank competition," Financial Management, Financial Management Association International, vol. 51(1), pages 227-269, March.
    19. Bresnahan, Timothy F. & Salop, Steven C., 1986. "Quantifying the competitive effects of production joint ventures," International Journal of Industrial Organization, Elsevier, vol. 4(2), pages 155-175, June.
    20. Ali, Ashiq & Klasa, Sandy & Yeung, Eric, 2014. "Industry concentration and corporate disclosure policy," Journal of Accounting and Economics, Elsevier, vol. 58(2), pages 240-264.
    21. 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.
    22. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    23. Hansen, Robert G & Lott, John R, Jr, 1995. "Profiting from Induced Changes in Competitors' Market Values: The Case of Entry and Entry Deterrence," Journal of Industrial Economics, Wiley Blackwell, vol. 43(3), pages 261-276, September.
    24. Pal, Rupayan, 2015. "Cournot vs. Bertrand under relative performance delegation: Implications of positive and negative network externalities," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 94-101.
    25. Dong, Gang Nathan & Gu, Ming & He, Hua, 2020. "Invisible hand and helping hand: Private placement of public equity in China," Journal of Corporate Finance, Elsevier, vol. 61(C).
    26. 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.
    27. Brito, Duarte & Cabral, Luís & Vasconcelos, Helder, 2014. "Divesting ownership in a rival," International Journal of Industrial Organization, Elsevier, vol. 34(C), pages 9-24.
    28. Xin Song & Chao Liu & Zijie Ding & Chenchen Huang & Qiongyao Zhang, 2023. "Private placements of equity and accessibility of bank loans," PLOS ONE, Public Library of Science, vol. 18(3), pages 1-16, March.
    29. Amrita Nain & Yan Wang, 2018. "The Product Market Impact of Minority Stake Acquisitions," Management Science, INFORMS, vol. 64(2), pages 825-844, February.
    30. 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.
    31. Banerjee, Shantanu & Mukherjee, Arijit, 2010. "Joint venture instability in developing countries under entry," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 603-614, October.
    32. 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.
    33. Jie (Jack) He & Jiekun Huang, 2017. "Product Market Competition in a World of Cross-Ownership: Evidence from Institutional Blockholdings," The Review of Financial Studies, Society for Financial Studies, vol. 30(8), pages 2674-2718.
    34. 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.
    35. Emmanuel Petrakis & Panagiotis Skartados, 2022. "First-mover advantage reversals under passive cross forward ownership in vertically related markets," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 303-311, October.
    36. Arijit Mukherjee, 2023. "Losses from cross-holdings in a duopoly with convex cost and strategic input price determination," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 81-91, April.
    37. repec:bla:reviec:v:9:y:2001:i:1:p:163-80 is not listed on IDEAS
    38. Foerster, Stephen R. & Karolyi, G. Andrew, 2000. "The Long-Run Performance of Global Equity Offerings," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 35(4), pages 499-528, December.
    39. 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.
    40. Stenbacka, Rune & Van Moer, Geert, 2021. "Cross ownership and divestment incentives," Economics Letters, Elsevier, vol. 201(C).
    41. 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.
    42. Reynolds, Robert J. & Snapp, Bruce R., 1986. "The competitive effects of partial equity interests and joint ventures," International Journal of Industrial Organization, Elsevier, vol. 4(2), pages 141-153, June.
    43. 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.
    44. Gino Loyola, 2021. "Effects of competition in first-price auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1527-1567, June.
    45. Amir, Rabah & Stepanova, Anna, 2006. "Second-mover advantage and price leadership in Bertrand duopoly," Games and Economic Behavior, Elsevier, vol. 55(1), pages 1-20, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mukherjee, Arijit & Zeng, Chenhang, 2024. "Downstream cross-holdings and divestment incentives under bilateral bargaining," Economics Letters, Elsevier, vol. 242(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cao, Zhigang & Li, Guopeng & Shen, Sixian & Zhu, Feng, 2025. "Potentials in quadratic Cournot cross-holding games," Journal of Mathematical Economics, Elsevier, vol. 119(C).
    2. Hariskos, W. & Königstein, M. & Papadopoulos, K.G., 2022. "Anti-competitive effects of partial cross-ownership: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 193(C), pages 399-409.
    3. Swapnendu Banerjee & Arijit Mukherjee & Sougata Poddar, 2025. "Product differentiation, demand expansion and the welfare effects of cross‐ownership," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 58(1), pages 193-226, February.
    4. Arijit Mukherjee, 2023. "Losses from cross-holdings in a duopoly with convex cost and strategic input price determination," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 81-91, April.
    5. 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.
    6. Jie Shuai & Mengyuan Xia & Chenhang Zeng, 2023. "Upstream market structure and downstream partial ownership," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 32(1), pages 22-47, January.
    7. Hongkun Ma & Chenhang Zeng, 2022. "The effects of optimal cross holding in an asymmetric oligopoly," Bulletin of Economic Research, Wiley Blackwell, vol. 74(4), pages 1053-1066, October.
    8. Yi Li, 2025. "Endogenous equity shares in duopoly markets with product differentiation," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 58(1), pages 227-246, February.
    9. Bayona, Anna & López, Ángel L. & Manganelli, Anton-Giulio, 2022. "Common ownership, corporate control and price competition," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 1066-1075.
    10. Domenico Buccella & Luciano Fanti & Luca Gori, 2025. "Cross-ownership in network industries: when less competition implies less profits or more social welfare," Journal of Economics, Springer, vol. 144(3), pages 203-230, April.
    11. Li, Youping & Zhang, Jianhu, 2021. "Product positioning with overlapping ownership," Economics Letters, Elsevier, vol. 208(C).
    12. Koch, Andrew & Panayides, Marios & Thomas, Shawn, 2021. "Common ownership and competition in product markets," Journal of Financial Economics, Elsevier, vol. 139(1), pages 109-137.
    13. Dai, Miao & Benchekroun, Hassan & Long, Ngo Van, 2022. "On the profitability of cross-ownership in Cournot nonrenewable resource oligopolies: Stock size matters," Journal of Environmental Economics and Management, Elsevier, vol. 111(C).
    14. Amrita Nain & Yan Wang, 2018. "The Product Market Impact of Minority Stake Acquisitions," Management Science, INFORMS, vol. 64(2), pages 825-844, February.
    15. Jianxia Yang & Chenhang Zeng, 2021. "Collusive stability of cross-holding with cost asymmetry," Theory and Decision, Springer, vol. 91(4), pages 549-566, November.
    16. Li, Sanxi & Ma, Hongkun & Zeng, Chenhang, 2015. "Passive cross holding as a strategic entry deterrence," Economics Letters, Elsevier, vol. 134(C), pages 37-40.
    17. Hao Cheng & Xiaoting Wu & Chenhang Zeng, 2024. "Can cross-holdings benefit consumers?," Journal of Economics, Springer, vol. 141(3), pages 245-273, April.
    18. Samuel Haas & Johannes Paha, 2021. "Non-Controlling Minority Shareholdings and Collusion," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(3), pages 431-454, May.
    19. Sandro Shelegia & Yossi Spiegel, 2024. "Horizontal Partial Cross Ownership and Innovation," Journal of Industrial Economics, Wiley Blackwell, vol. 72(4), pages 1397-1450, December.
    20. Kangsik Choi, 2026. "Cross-ownership and endogenous managerial delegation in Bertrand competition," Journal of Economics, Springer, vol. 147(1), pages 1-22, March.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices
    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ind:igiwpp:2024-003. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Shamprasad M. Pujar (email available below). General contact details of provider: https://edirc.repec.org/data/igidrin.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.