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Endogenously choosing the timing of setting strategic contracts’ levels and content in a managerial mixed duopoly with welfare-based and sales delegation contracts

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  • Yasuhiko Nakamura

    (Nihon University)

Abstract

This paper explores the full observable delay game—which involves the timing of setting one public firm’s and one private firm’s strategic contracts’ levels and content—in a managerial mixed duopoly with a welfare-based delegation à la Nakamura (Int Rev Econ Finance 35:262–277, 2015, J Ind Compet Trade 19:235–261, 2019b, J Ind Compet Trade 19:679–737, 2019c). In this paper, we first show that both the following types of market frameworks can be equilibrium market structures: (1) a market formation in which the manager of the public firm, which has a quantity contract, is the leader and manager of the private firm, which has a price contract and is the follower, and (2) a market configuration in which the manager of the public firm, which has a quantity contract, is the follower, and the private firm, which also has a quantity contract, is the leader. Second, we demonstrate that the form of highest social welfare is achieved under market structure (2). Hence, in such a managerial mixed duopoly, from the perspective of social welfare, it is not as necessary for the relevant authority (including the government) to regulate owners’ free determination of the timing of setting public and private firms’ strategic contracts’ levels and content.

Suggested Citation

  • Yasuhiko Nakamura, 2020. "Endogenously choosing the timing of setting strategic contracts’ levels and content in a managerial mixed duopoly with welfare-based and sales delegation contracts," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 67(3), pages 363-402, September.
    • Handle: RePEc:spr:inrvec:v:67:y:2020:i:3:d:10.1007_s12232-020-00347-9
    DOI: 10.1007/s12232-020-00347-9
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    References listed on IDEAS

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    1. 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.
    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, April.
    3. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    4. 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.
    5. Steven D. Sklivas, 1987. "The Strategic Choice of Managerial Incentives," RAND Journal of Economics, The RAND Corporation, vol. 18(3), pages 452-458, Autumn.
    6. Sadanand, Asha & Sadanand, Venkatraman, 1996. "Firm Scale and the Endogenous Timing of Entry: a Choice between Commitment and Flexibility," Journal of Economic Theory, Elsevier, vol. 70(2), pages 516-530, August.
    7. 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.
    8. Sun, Chia-Hung, 2013. "Combining the endogenous choice of price/quantity and timing," Economics Letters, Elsevier, vol. 120(3), pages 364-368.
    9. Jacques, Armel, 2004. "Endogenous timing in a mixed oligopoly: a forgotten equilibrium," Economics Letters, Elsevier, vol. 83(2), pages 147-148, May.
    10. Fershtman, Chaim & Judd, Kenneth L & Kalai, Ehud, 1991. "Observable Contracts: Strategic Delegation and Cooperation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 551-559, August.
    11. Lu, Yuanzhu, 2007. "Endogenous timing in a mixed oligopoly: Another forgotten equilibrium," Economics Letters, Elsevier, vol. 94(2), pages 226-227, February.
    12. 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.
    13. Murase, Hideaki, 1998. "Equity ownership and the determination of managers' bonuses in Japanese firms1," Japan and the World Economy, Elsevier, vol. 10(3), pages 321-331, July.
    14. Chirco, Alessandra & Scrimitore, Marcella, 2013. "Choosing price or quantity? The role of delegation and network externalities," Economics Letters, Elsevier, vol. 121(3), pages 482-486.
    15. 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.
    16. Juan Carlos Bárcena-Ruiz, 2013. "Endogenous Timing Of Incentive Contracts In Mixed Markets Under Bertrand Competition," Manchester School, University of Manchester, vol. 81(3), pages 340-355, June.
    17. Kaplan, Steven N, 1994. "Top Executive Rewards and Firm Performance: A Comparison of Japan and the United States," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 510-546, June.
    18. Akira Nishimori & Hikaru Ogawa, 2005. "Long‐Term And Short‐Term Contract In A Mixed Market," Australian Economic Papers, Wiley Blackwell, vol. 44(3), pages 275-289, September.
    19. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    20. Toshihiro Matsumura & Osamu Kanda, 2005. "Mixed Oligopoly at Free Entry Markets," Journal of Economics, Springer, vol. 84(1), pages 27-48, February.
    21. Alessandra Chirco & Caterina Colombo & Marcella Scrimitore, 2014. "Organizational Structure and the Choice of Price versus Quantity in a Mixed Duopoly," The Japanese Economic Review, Japanese Economic Association, vol. 65(4), pages 521-542, December.
    22. Nakamura, Yasuhiko, 2015. "Endogenous choice of strategic incentives in a mixed duopoly with a new managerial delegation contract for the public firm," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 262-277.
    23. Luca Lambertini & Arsen Palestini & Alessandro Tampieri, 2014. "CSR in an Asymmetric Duopoly with Environmental Externalities," DEM Discussion Paper Series 14-19, Department of Economics at the University of Luxembourg.
    24. White, Mark D., 2001. "Managerial incentives and the decision to hire managers in markets with public and private firms," European Journal of Political Economy, Elsevier, vol. 17(4), pages 877-896, November.
    25. Yasuhiko Nakamura & Tomohiro Inoue, 2007. "Endogenous Timing in a Mixed Duopoly: The Managerial Delegation Case," Economics Bulletin, AccessEcon, vol. 12(27), pages 1-7.
    26. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    27. Hong-Ren Din & Chia-Hung Sun, 2016. "Combining the endogenous choice of timing and competition version in a mixed duopoly," Journal of Economics, Springer, vol. 118(2), pages 141-166, June.
    28. repec:wly:soecon:v:81:2:y:2014:p:457-473 is not listed on IDEAS
    29. Goering, Gregory E., 2012. "Corporate social responsibility and marketing channel coordination," Research in Economics, Elsevier, vol. 66(2), pages 142-148.
    30. José Naya, 2015. "Endogenous timing in a mixed duopoly model," Journal of Economics, Springer, vol. 116(2), pages 165-174, October.
    31. Barros, Fatima, 1995. "Incentive schemes as strategic variables: An application to a mixed duopoly," International Journal of Industrial Organization, Elsevier, vol. 13(3), pages 373-386, September.
    32. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    33. Yasuhiko Nakamura & Tomohiro Inoue, 2009. "Endogenous timing in a mixed duopoly: price competition with managerial delegation," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 30(5), pages 325-333.
    34. repec:ebl:ecbull:v:12:y:2007:i:27:p:1-7 is not listed on IDEAS
    35. 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.
    36. Juan Bárcena-Ruiz, 2007. "Endogenous Timing in a Mixed Duopoly: Price Competition," Journal of Economics, Springer, vol. 91(3), pages 263-272, July.
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    More about this item

    Keywords

    Cournot competition; Bertrand competition; Endogenous timing of the levels of strategic contracts; Mixed duopoly; Welfare-based delegation; Sales delegation;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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