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Inefficient but robust public leadership


  • Matsumura, Toshihiro
  • Ogawa, Akira


We investigate endogenous timing in a mixed duopoly in a differentiated product market. We find that private leadership is better than public leadership from a social welfare perspective if the private firm is domestic, regardless of the degree of product differentiation. Nevertheless, the public leadership equilibrium is risk-dominant, and it is thus robust if the degree of product differentiation is high. We also find that regardless of the degree of product differentiation, the public leadership equilibrium is risk-dominant if the private firm is foreign. These results may explain the recent revival of public financial institutions in Japan.

Suggested Citation

  • Matsumura, Toshihiro & Ogawa, Akira, 2014. "Inefficient but robust public leadership," MPRA Paper 56539, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:56539

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    References listed on IDEAS

    1. 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.
    2. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, January.
    3. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    4. Ming Lin & Toshihiro Matsumura, 2012. "Presence of foreign investors in privatized firms and privatization policy," Journal of Economics, Springer, vol. 107(1), pages 71-80, September.
    5. Giacomo Corneo & Oliver Jeanne, 1994. "Oligopole mixte dans un marché commun," Annals of Economics and Statistics, GENES, issue 33, pages 73-90.
    6. repec:adr:anecst:y:1994:i:33:p:06 is not listed on IDEAS
    7. Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
    8. Daisuke Hirata & Toshihiro Matsumura, 2011. "Price leadership in a homogeneous product market," Journal of Economics, Springer, vol. 104(3), pages 199-217, November.
    9. Ono, Yoshiyasu, 1978. "The Equilibrium of Duopoly in a Market of Homogeneous Goods," Economica, London School of Economics and Political Science, vol. 45(179), pages 287-295, 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. Toshihiro Matsumura, 2003. "Stackelberg Mixed Duopoly with a Foreign Competitor," Bulletin of Economic Research, Wiley Blackwell, vol. 55(3), pages 275-287, July.
    12. van Damme, Eric & Hurkens, Sjaak, 2004. "Endogenous price leadership," Games and Economic Behavior, Elsevier, vol. 47(2), pages 404-420, May.
    13. Ishida, Junichiro & Matsushima, Noriaki, 2009. "Should civil servants be restricted in wage bargaining? A mixed-duopoly approach," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 634-646, April.
    14. Wang, Leonard F.S. & Mukherjee, Arijit, 2012. "Undesirable competition," Economics Letters, Elsevier, vol. 114(2), pages 175-177.
    15. Kenneth Fjell & Debashis Pal, 1996. "A Mixed Oligopoly in the Presence of Foreign Private Firms," Canadian Journal of Economics, Canadian Economics Association, vol. 29(3), pages 737-743, August.
    16. Yoshihiro Tomaru & Kazuharu Kiyono, 2010. "Endogenous Timing in Mixed Duopoly with Increasing Marginal Costs," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 166(4), pages 591-613, December.
    17. Pal, Debashis, 1991. "Cournot duopoly with two production periods and cost differentials," Journal of Economic Theory, Elsevier, vol. 55(2), pages 441-448, December.
    18. repec:adr:anecst:y:1994:i:33 is not listed on IDEAS
    19. Juan Carlos Bárcena‐Ruiz & Máximo Sedano, 2011. "Endogenous Timing In A Mixed Duopoly: Weighted Welfare And Price Competition," The Japanese Economic Review, Japanese Economic Association, vol. 62(4), pages 485-503, December.
    20. Yoshihiro Tomaru & Masayuki Saito, 2010. "Mixed Duopoly, Privatization And Subsidization In An Endogenous Timing Framework," Manchester School, University of Manchester, vol. 78(1), pages 41-59, January.
    21. Sedano Hoyuelos, Máximo & Bárcena Ruiz, Juan Carlos, 2011. "Endogenous Timing in a Mixed Duopoly: Wighted Welfare and Price Competition," IKERLANAK 2011-46, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    22. Jeffry M. Netter & William L. Megginson, 2001. "From State to Market: A Survey of Empirical Studies on Privatization," Journal of Economic Literature, American Economic Association, vol. 39(2), pages 321-389, June.
    23. Hiroaki Ino & Toshihiro Matsumura, 2010. "What role should public enterprises play in free-entry markets?," Journal of Economics, Springer, vol. 101(3), pages 213-230, November.
    24. Toshihiro Matsumura & Akira Ogawa, 2009. "Payoff dominance and risk dominance in the observable delay game: a note," Journal of Economics, Springer, vol. 97(3), pages 265-272, July.
    25. Hiroaki Ino & Toshihiro Matsumura, 2012. "How Many Firms Should Be Leaders? Beneficial Concentration Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1323-1340, November.
    26. Wang, Leonard F.S. & Lee, Jen-yao, 2013. "Foreign penetration and undesirable competition," Economic Modelling, Elsevier, vol. 30(C), pages 729-732.
    27. Capuano Carlo & De Feo Giuseppe, 2010. "Privatization in Oligopoly: the Impact of the Shadow Cost of Public Funds," Rivista italiana degli economisti, Società editrice il Mulino, issue 2, pages 175-208.
    28. John S. Heywood & Guangliang Ye, 2009. "Mixed Oligopoly, Sequential Entry, And Spatial Price Discrimination," Economic Inquiry, Western Economic Association International, vol. 47(3), pages 589-597, July.
    29. Arup Bose & Debashis Pal & David E. M. Sappington, 2014. "The impact of public ownership in the lending sector," Canadian Journal of Economics, Canadian Economics Association, vol. 47(4), pages 1282-1311, November.
    30. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    31. Heywood, John S. & Ye, Guangliang, 2009. "Mixed oligopoly and spatial price discrimination with foreign firms," Regional Science and Urban Economics, Elsevier, vol. 39(5), pages 592-601, September.
    32. Matsumura, Toshihiro & Sunada, Takeaki, 2013. "Advertising competition in a mixed oligopoly," Economics Letters, Elsevier, vol. 119(2), pages 183-185.
    33. Toshihiro Matsumura & Noriaki Matsushima, 2004. "Endogenous Cost Differentials between Public and Private Enterprises: A Mixed Duopoly Approach," Economica, London School of Economics and Political Science, vol. 71(284), pages 671-688, November.
    34. Toshihiro Matsumura & Yoshihiro Tomaru, 2013. "Mixed duopoly, privatization, and subsidization with excess burden of taxation," Canadian Journal of Economics, Canadian Economics Association, vol. 46(2), pages 526-554, May.
    35. Toshihiro Matsumura, 2003. "Endogenous Role in Mixed Markets: A Two-Production-Period Model," Southern Economic Journal, Southern Economic Association, vol. 70(2), pages 403-413, October.
    36. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    37. Ono, Yoshiyasu, 1982. "Price Leadership: A Theoretical Analysis," Economica, London School of Economics and Political Science, vol. 49(193), pages 11-20, February.
    38. Debashis Pal & Mark D. White, 1998. "Mixed Oligopoly, Privatization, and Strategic Trade Policy," Southern Economic Journal, Southern Economic Association, vol. 65(2), pages 264-281, October.
    39. Toshihiro Matsumura & Akira Ogawa, 2010. "On The Robustness Of Private Leadership In Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 49(2), pages 149-160, June.
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    Cited by:

    1. Hirose, Kosuke & Matsumura, Toshihiro, 2017. "Comparing Welfare and Profit in Quantity and Price Competition within Stackelberg Mixed Duopolies," MPRA Paper 77700, University Library of Munich, Germany.
    2. Lin, Ming Hsin & Matsumura, Toshihiro, 2017. "Optimal Privatization Policy under Private Leadership in Mixed Oligopolies," MPRA Paper 79913, University Library of Munich, Germany.
    3. Kresimir Zigic & Jiri Strelicky & Michael Kunin, 2015. "Modeling Software Piracy Protection: Monopoly versus Duopoly," CERGE-EI Working Papers wp551, The Center for Economic Research and Graduate Education - Economics Institute, Prague.

    More about this item


    public financial institutions; differentiated products; risk dominance; Stackelberg;

    JEL classification:

    • H42 - Public Economics - - Publicly Provided Goods - - - Publicly Provided Private Goods
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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