IDEAS home Printed from https://ideas.repec.org/p/cla/levrem/321307000000000436.html
   My bibliography  Save this paper

Mixed Oligopoly Equilibria When Firms' Objectives Are Endogenous

Author

Listed:
  • Philippe De Donder
  • John E. Roemer

Abstract

We study a vertically differentiated market where two firms simultaneously choose the quality and price of the good they sell and where consumers also care for the average quality of the goods supplied. Firms are composed of two factions whose objectives differ: one is maximizing profit while the other maximizes revenues. The equilibrium concept we model, called Firm Unanimity Nash Equilibrium (FUNE), corresponds to Nash equilibria between firms when there is efficient bargaining between the two factions inside both firms. One conceptual advantage of FUNE is that oligopolistic equilibria exist in pure strategies, even though the strategy space (price, quality) is multi-dimensional. We first show that such equilibria are inefficient, with both firms underproviding quality. We then assume that the government takes a participation in one firm, which introduces a third faction, bent on welfare maximization, in that firm. We study the characteristics of equilibria as a function of the extent of government’s participation. Our main results are twofold. First, government’s participation in the firm providing the low quality good decreases efficiency while participation in the firm providing the high quality good increases efficiency. Second, the optimal degree of government’s participation in the high-quality firm increases with how much consumers care for average equality.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Philippe De Donder & John E. Roemer, 2006. "Mixed Oligopoly Equilibria When Firms' Objectives Are Endogenous," Levine's Bibliography 321307000000000436, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:321307000000000436
    as

    Download full text from publisher

    File URL: http://cowles.econ.yale.edu/P/cd/d15b/d1581.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Roemer, John E. & Silvestre, Joaquim, 1992. "A welfare comparison of private and public monopoly," Journal of Public Economics, Elsevier, vol. 48(1), pages 67-81, June.
    2. Lily Jiang, 2006. "Welfare Analysis Of Privatization In A Mixed Market With Bargaining," Contemporary Economic Policy, Western Economic Association International, vol. 24(3), pages 395-406, July.
    3. Crampes, Claude & Hollander, Abraham, 1995. "Duopoly and quality standards," European Economic Review, Elsevier, vol. 39(1), pages 71-82, January.
    4. Pedro Pita Barros & Xavier Martinez‐Giralt, 2002. "Public and Private Provision of Health Care," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 11(1), pages 109-133, March.
    5. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    6. Pedro Cantos‐Sánchez & Rafael Moner‐Colonques, 2006. "Mixed Oligopoly, Product Differentiation And Competition For Public Transport Services," Manchester School, University of Manchester, vol. 74(3), pages 294-313, June.
    7. John E. Roemer, 1999. "The Democratic Political Economy of Progressive Income Taxation," Econometrica, Econometric Society, vol. 67(1), pages 1-20, January.
    8. Willner, Johan, 1999. "Policy objectives and performance in a mixed market with bargaining," International Journal of Industrial Organization, Elsevier, vol. 17(1), pages 137-145, January.
    9. Isabel Grilo, 1994. "Mixed Duopoly under Vertical Differenciation," Annals of Economics and Statistics, GENES, issue 33, pages 91-112.
    10. Jack High (ed.), 2001. "Competition," Books, Edward Elgar Publishing, number 1751.
    11. Woojin Lee & John Roemer & Karine Van der Straeten, 2006. "Racism, Xenophobia, and Redistribution," Journal of the European Economic Association, MIT Press, vol. 4(2-3), pages 446-454, 04-05.
    12. White, Mark D., 2002. "Political manipulation of a public firm's objective function," Journal of Economic Behavior & Organization, Elsevier, vol. 49(4), pages 487-499, December.
    13. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    14. repec:adr:anecst:y:1994:i:33:p:07 is not listed on IDEAS
    15. Romero, Laura & Rey, Elena del, 2004. "Competition between public and private universities: quality, prices and exams," UC3M Working papers. Economics we046423, Universidad Carlos III de Madrid. Departamento de Economía.
    16. Grilo, I., 1994. "Mixed duopoly under vertical differentiation," LIDAM Reprints CORE 1115, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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. Robert C. Seamans, 2012. "Fighting City Hall: Entry Deterrence and Technology Upgrades in Cable TV Markets," Management Science, INFORMS, vol. 58(3), pages 461-475, March.
    2. Benassi, Corrado & Castellani, Massimiliano & Mussoni, Maurizio, 2016. "Price equilibrium and willingness to pay in a vertically differentiated mixed duopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 86-96.
    3. Beladi, Hamid & Chakrabarti, Avik & Hollas, Daniel, 2016. "A public firm in a vertically linked price discriminating spatial duopoly," Economic Systems, Elsevier, vol. 40(1), pages 59-63.
    4. Yi, Yuyin & Yang, Haishen, 2017. "Wholesale pricing and evolutionary stable strategies of retailers under network externality," European Journal of Operational Research, Elsevier, vol. 259(1), pages 37-47.
    5. Doni, Nicola & Ricchiuti, Giorgio, 2013. "Market equilibrium in the presence of green consumers and responsible firms: A comparative statics analysis," Resource and Energy Economics, Elsevier, vol. 35(3), pages 380-395.
    6. Robert Swinney & Gérard P. Cachon & Serguei Netessine, 2011. "Capacity Investment Timing by Start-ups and Established Firms in New Markets," Management Science, INFORMS, vol. 57(4), pages 763-777, April.
    7. Pu‐yan Nie & Yong‐cong Yang, 2020. "Cost‐reduction innovation under mixed economy," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(7), pages 1195-1201, October.
    8. John Bennett & Manfredi La manna, 2012. "Mixed Oligopoly and Entry," CEDI Discussion Paper Series 12-01, Centre for Economic Development and Institutions(CEDI), Brunel University.
    9. Stefan Lutz & Mario Pezzino, 2014. "Vertically Differentiated Mixed Oligopoly with Quality-dependent Fixed Costs," Manchester School, University of Manchester, vol. 82(5), pages 596-619, September.
    10. Nguyen, Xuan, 2015. "On the efficiency of private and state-owned enterprises in mixed markets," Economic Modelling, Elsevier, vol. 50(C), pages 130-137.
    11. Stefan Lutz & Mario Pezzino, 2010. "Mixed oligopoly, vertical product differentiation and fixed quality-dependent costs," ICER Working Papers 08-2010, ICER - International Centre for Economic Research.
    12. Pu-yan Nie, 2014. "Effects of capacity constraints on mixed duopoly," Journal of Economics, Springer, vol. 112(3), pages 283-294, July.
    13. Yi, Yuyin & Yang, Haishen, 2017. "An evolutionary stable strategy for retailers selling complementary goods subject to indirect network externalities," Economic Modelling, Elsevier, vol. 62(C), pages 184-193.
    14. Kamijo, Yoshio & Tomaru, Yoshihiro, 2014. "The endogenous objective function of a partially privatized firm: A Nash bargaining approach," Economic Modelling, Elsevier, vol. 39(C), pages 101-109.

    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. Stefan Lutz & Mario Pezzino, 2014. "Vertically Differentiated Mixed Oligopoly with Quality-dependent Fixed Costs," Manchester School, University of Manchester, vol. 82(5), pages 596-619, September.
    2. Philippe De Donder, 2005. "L'entreprise publique en concurrence : les oligopoles mixtes," Revue Française d'Économie, Programme National Persée, vol. 20(2), pages 11-50.
    3. Ziad Ghandour & Odd Rune Straume, 2022. "Optimal funding coverage in a mixed oligopoly with quality competition and price regulation," Journal of Economics, Springer, vol. 136(3), pages 201-225, August.
    4. Benassi, Corrado & Castellani, Massimiliano & Mussoni, Maurizio, 2016. "Price equilibrium and willingness to pay in a vertically differentiated mixed duopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 86-96.
    5. Nakamura, Tamotsu & Takami, Hiroyuki, 2015. "Nash bargaining and partial privatization in mixed oligopoly," Economic Modelling, Elsevier, vol. 46(C), pages 315-321.
    6. Corrado Benassi & Alessandra Chirco & Marcella Scrimitore, 2014. "Optimal manipulation rules in a mixed oligopoly," Journal of Economics, Springer, vol. 112(1), pages 61-84, May.
    7. John S. Heywood & Zerong Wang & Guangliang Ye, 2022. "Strategic delegation in an international mixed oligopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1888-1898, September.
    8. Alessandra Chirco & Marcella Scrimitore, 2010. "Price Competition in International Mixed Oligopolies," Working Paper series 48_10, Rimini Centre for Economic Analysis.
    9. Rim Lahmandi‐Ayed & Hejer Lasram & Didier Laussel, 2021. "Is partial privatization of universities a solution for higher education?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(6), pages 1174-1198, December.
    10. Laine, Liisa T. & Ma, Ching-to Albert, 2017. "Quality and competition between public and private firms," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 336-353.
    11. Kangsik Choi & Yuanzhu Lu, 2009. "A Model Of Endogenous Payoff Motives And Endogenous Timing In A Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 48(3), pages 203-223, September.
    12. João Correia-da-Silva & Joana Pinho, 2018. "Collusion in mixed oligopolies and the coordinated effects of privatization," Journal of Economics, Springer, vol. 124(1), pages 19-55, May.
    13. Juan Bárcena-Ruiz & F. Casado-Izaga, 2012. "Location of public and private firms under endogenous timing of choices," Journal of Economics, Springer, vol. 105(2), pages 129-143, March.
    14. Rim Lahmandi-Ayed & Hejer Lasram & Didier Laussel, 2020. "Is partial privatization of universities a solution for higher education? A successive monopolies model," Working Papers hal-02988323, HAL.
    15. Hsu, Su-Ying & Lo, Chu-Ping & Wu, Shih-Jye, 2014. "The nexus of market concentration and privatization policy in mixed oligopoly," Economic Modelling, Elsevier, vol. 38(C), pages 196-203.
    16. Du, Ninghua & Heywood, John S. & Ye, Guangliang, 2013. "Strategic delegation in an experimental mixed duopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 87(C), pages 91-100.
    17. Arup Bose & Barnali Gupta, 2013. "Mixed markets in bilateral monopoly," Journal of Economics, Springer, vol. 110(2), pages 141-164, October.
    18. John S. Heywood & Guangliang Ye, 2009. "Delegation in a mixed oligopoly: the case of multiple private firms," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 30(2), pages 71-82.
    19. Del Rey Elena & Estevan Fernanda, 2020. "Assessing Higher Education Policy in Brazil: A Mixed Oligopoly Approach," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 20(1), pages 1-16, January.
    20. Stefan Lutz & Mario Pezzino, 2010. "Mixed oligopoly, vertical product differentiation and fixed qualitydependent costs," Economics Discussion Paper Series 1015, Economics, The University of Manchester.

    More about this item

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • H82 - Public Economics - - Miscellaneous Issues - - - Governmental Property

    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:cla:levrem:321307000000000436. 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: David K. Levine (email available below). General contact details of provider: http://www.dklevine.com/ .

    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.