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Endogenous competition with an integrated public utility firm under an output subsidy policy

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  • Xu, Lili
  • Lee, Sang-Ho

Abstract

In this study, we consider a mixed downstream market wherein a vertically integrated public utility firm competes with a private firm that purchases inputs from an upstream firm under output subsidies. We construct an endogenous competition mode game and find that not only do pure Cournot and Bertrand competitions appear as equilibria, but a hybrid Bertrand-Cournot competition can also materialize depending on the subsidy rate. However, Cournot competition appears as a unique equilibrium in the private market irrespective of subsidy rate. We demonstrate that privatization, accompanied by subsidization that shifts firms’ coordination from a hybrid Bertrand-Cournot competition to a Cournot competition, could improve welfare.

Suggested Citation

  • Xu, Lili & Lee, Sang-Ho, 2024. "Endogenous competition with an integrated public utility firm under an output subsidy policy," Utilities Policy, Elsevier, vol. 87(C).
  • Handle: RePEc:eee:juipol:v:87:y:2024:i:c:s0957178724000134
    DOI: 10.1016/j.jup.2024.101720
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    1. Haraguchi, Junichi & Matsumura, Toshihiro, 2018. "Government-leading welfare-improving collusion," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 363-370.
    2. Lee, Sang-Ho & Muminov, Timur K. & Tomaru, Yoshihiro, 2017. "Partial Privatization And Subsidization In A Mixed Duopoly: R&D Versus Output Subsidies," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 58(2), pages 163-177, December.
    3. Debashis Pal & Mark D. White, 1998. "Mixed Oligopoly, Privatization, and Strategic Trade Policy," Southern Economic Journal, John Wiley & Sons, vol. 65(2), pages 264-281, October.
    4. Domenico Buccella & Luciano Fanti, 2022. "Downstream competition and profits under different input price bargaining structures," Journal of Economics, Springer, vol. 136(3), pages 251-268, August.
    5. Lili Xu & Yidan Zhang & Toshihiro Matsumura, 2023. "Competition mode and common ownership in a mixed oligopoly," Manchester School, University of Manchester, vol. 91(4), pages 306-319, July.
    6. Tasnadi, Attila, 2006. "Price vs. quantity in oligopoly games," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 541-554, May.
    7. Matsumura, Toshihiro & Okumura, Yasunori, 2013. "Privatization neutrality theorem revisited," Economics Letters, Elsevier, vol. 118(2), pages 324-326.
    8. Lee, Sang-Ho & Tomaru, Yoshihiro, 2017. "Output and R&D subsidies in a mixed oligopoly," MPRA Paper 84410, University Library of Munich, Germany.
    9. 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.
    10. White, Mark D., 1996. "Mixed oligopoly, privatization and subsidization," Economics Letters, Elsevier, vol. 53(2), pages 189-195, November.
    11. Joanna Poyago-Theotoky, 2001. "Mixed oligopoly, subsidization and the order of firms' moves: an irrelevance result," Economics Bulletin, AccessEcon, vol. 12(3), pages 1-5.
    12. Sang-Ho Lee & Lili Xu, 2018. "Endogenous timing in private and mixed duopolies with emission taxes," Journal of Economics, Springer, vol. 124(2), pages 175-201, June.
    13. S. Askar, 2014. "On Cournot–Bertrand competition with differentiated products," Annals of Operations Research, Springer, vol. 223(1), pages 81-93, December.
    14. Tremblay, Carol Horton & Tremblay, Victor J., 2011. "The Cournot-Bertrand model and the degree of product differentiation," Economics Letters, Elsevier, vol. 111(3), pages 233-235, June.
    15. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    16. Kangsik Choi, 2012. "Price And Quantity Competition In A Unionised Mixed Duopoly: The Cases Of Substitutes And Complements," Australian Economic Papers, Wiley Blackwell, vol. 51(1), pages 1-22, March.
    17. Yasuhiko Nakamura, 2021. "Price versus quantity in a duopoly with network externalities under active and passive expectations," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(1), pages 120-133, January.
    18. Kopel, Michael & Putz, Eva Maria, 2021. "Why socially concerned firms use low-powered managerial incentives: A complementary explanation," Economic Modelling, Elsevier, vol. 94(C), pages 473-482.
    19. Toshihiro Matsumura & Yoshihiro Tomaru, 2013. "Mixed duopoly, privatization, and subsidization with excess burden of taxation," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 46(2), pages 526-554, May.
    20. 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.
    21. Basak, Debasmita & Wang, Leonard F.S., 2019. "Cournot vs. Bertrand in mixed markets with R&D," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 265-271.
    22. Winston W. Chang & Han Eol Ryu, 2015. "Vertically Related Markets, Foreign Competition and Optimal Privatization Policy," Review of International Economics, Wiley Blackwell, vol. 23(2), pages 303-319, May.
    23. Sang‐Ho Lee, 2006. "Welfare‐Improving Privatization Policy In The Telecommunications Industry," Contemporary Economic Policy, Western Economic Association International, vol. 24(2), pages 237-248, April.
    24. Arya, Anil & Mittendorf, Brian & Sappington, David E.M., 2008. "Outsourcing, vertical integration, and price vs. quantity competition," International Journal of Industrial Organization, Elsevier, vol. 26(1), pages 1-16, January.
    25. Basak, Debasmita & Mukherjee, Arijit, 2017. "Price vs. quantity competition in a vertically related market revisited," Economics Letters, Elsevier, vol. 153(C), pages 12-14.
    26. Debashis Pal & Mark D. White, 1998. "Mixed Oligopoly, Privatization, and Strategic Trade Policy," Southern Economic Journal, John Wiley & Sons, vol. 65(2), pages 264-281, October.
    27. Arghya Ghosh & Manipushpak Mitra, 2014. "Reversal of Bertrand-Cournot Rankings in the Presence of Welfare Concerns," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 170(3), pages 496-519, September.
    28. Chuyuan Zhang & Sang‐Ho Lee, 2023. "Entry decision of a vertically integrated foreign firm with downstream subsidization and upstream privatization," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 94(1), pages 273-299, March.
    29. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
    30. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    31. Yasuhiko Nakamura, 2017. "Price Versus Quantity in a Duopoly with a Unilateral Effect and with Bargaining over Managerial Contracts," Journal of Industry, Competition and Trade, Springer, vol. 17(1), pages 83-119, March.
    32. Hong-Ren Din & Chia-Hung Sun, 2023. "Centralized or decentralized bargaining in a vertically-related market with endogenous price/quantity choices," Journal of Economics, Springer, vol. 138(1), pages 73-94, January.
    33. Ki‐Dong Lee & Sunghee Choi & Kangsik Choi, 2020. "Bertrand versus Cournot competition in a downstream mixed oligopoly with foreign ownership," Bulletin of Economic Research, Wiley Blackwell, vol. 72(2), pages 101-120, April.
    34. Kangsik Choi & Seonyoung Lim, 2019. "A reappraisal of strategic trade policies with the endogenous mode of competition under vertical structures," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 28(1), pages 11-29, January.
    35. Arijit Mukherjee & Udo Broll & Soma Mukherjee, 2012. "Bertrand Versus Cournot Competition In A Vertical Structure: A Note," Manchester School, University of Manchester, vol. 80(5), pages 545-559, September.
    36. Ryu, Han Eol, 2023. "Public utility ownership and in-kind trade policy in vertically related markets," Utilities Policy, Elsevier, vol. 81(C).
    37. Victor J. Tremblay & Carol Horton Tremblay & Kosin Isariyawongse, 2013. "Endogenous Timing And Strategic Choice: The Cournot-Bertrand Model," Bulletin of Economic Research, Wiley Blackwell, vol. 65(4), pages 332-342, October.
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    More about this item

    Keywords

    Endogenous competition mode game; Mixed downstream market; Output subsidy; Privatization policy; Vertically integrated public utility;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • L33 - Industrial Organization - - Nonprofit Organizations and Public Enterprise - - - Comparison of Public and Private Enterprise and Nonprofit Institutions; Privatization; Contracting Out

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