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Combining the endogenous choice of the timing of setting incentive parameters and the contents of strategic contracts in a managerial mixed duopoly

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  • Nakamura, Yasuhiko

Abstract

This study considers a game in which both the timing of setting the incentive parameters and the contents of the strategic contracts are determined endogenously. We investigate this game in a managerial mixed duopoly comprising a public firm with a welfare-maximizing owner and a private firm with a profit-maximizing owner. We suppose that the managers of both firms are employed based on their sales delegation contracts, which are equal to the weighted sum of their profits and sales revenues with respect to their FJSV incentive parameters. We show that two equilibrium market structures are possible in this game: (1) the market structure in which the owner of the public firm is the follower with a quantity contract and the owner of the private firm is the leader with a price contract and (2) the market structure in which the owners of both firms use price contracts and set their FJSV incentive parameters simultaneously in the late period. Furthermore, we show that the highest degree of social welfare can be achieved with the first equilibrium market structure. Therefore, the game considered in this study differs from the game in which both the timing of setting the incentive parameters and the contents of the strategic contracts are determined endogenously in a managerial private duopoly composed of two firms with profit-maximizing owners. Specifically, in the game considered in this study, it is unnecessary for the corresponding authority, such as the government, to regulate the free determination of both the timing of setting the incentive parameters and the contents of the strategic contracts based on each firm's individual incentive. In addition, since the cost functions and their quantities are represented under the technologies of both firms, we confirm the results concerning the equilibrium market structures and welfare implications obtained in the case where both firms have constant marginal cost functions with respect to their quantities.

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  • Nakamura, Yasuhiko, 2019. "Combining the endogenous choice of the timing of setting incentive parameters and the contents of strategic contracts in a managerial mixed duopoly," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 207-233.
    • Handle: RePEc:eee:reveco:v:59:y:2019:i:c:p:207-233
    DOI: 10.1016/j.iref.2018.08.020
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    1. 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.
    2. Tasnadi, Attila, 2006. "Price vs. quantity in oligopoly games," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 541-554, May.
    3. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    4. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    5. 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.
    6. Tanaka, Yasuhito, 2001. "Profitability of price and quantity strategies in an oligopoly," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 409-418, June.
    7. Thisse, Jacques-Francois & Vives, Xavier, 1988. "On the Strategic Choice of Spatial Price Policy," American Economic Review, American Economic Association, vol. 78(1), pages 122-137, March.
    8. 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.
    9. 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.
    10. van Damme, Eric & Hurkens, Sjaak, 1999. "Endogenous Stackelberg Leadership," Games and Economic Behavior, Elsevier, vol. 28(1), pages 105-129, July.
    11. 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.
    12. Luca Lambertini, 2000. "Strategic Delegation and the Shape of Market Competition," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 550-570, November.
    13. Amir, Rabah & Grilo, Isabel, 1999. "Stackelberg versus Cournot Equilibrium," Games and Economic Behavior, Elsevier, vol. 26(1), pages 1-21, January.
    14. 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.
    15. Matsumura, Toshihiro, 1998. "Partial privatization in mixed duopoly," Journal of Public Economics, Elsevier, vol. 70(3), pages 473-483, December.
    16. 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.
    17. Juan Carlos Barcena‐Ruiz & Maria Paz Espinosa, 1996. "Long‐Term or Short‐Term Managerial Incentive Contracts," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 5(3), pages 343-359, September.
    18. 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.
    19. Scrimitore, Marcella, 2013. "Price or quantity? The strategic choice of subsidized firms in a mixed duopoly," Economics Letters, Elsevier, vol. 118(2), pages 337-341.
    20. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    21. repec:wly:soecon:v:81:2:y:2014:p:457-473 is not listed on IDEAS
    22. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    23. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, John Wiley & Sons, vol. 71(3), pages 636-660, January.
    24. Markus Reisinger & Ludwig Ressner, 2009. "The Choice of Prices versus Quantities under Uncertainty," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 18(4), pages 1155-1177, December.
    25. Haraguchi, Junichi & Matsumura, Toshihiro, 2014. "Price versus quantity in a mixed duopoly with foreign penetration," Research in Economics, Elsevier, vol. 68(4), pages 338-353.
    26. Sun, Chia-Hung, 2013. "Combining the endogenous choice of price/quantity and timing," Economics Letters, Elsevier, vol. 120(3), pages 364-368.
    27. Luca Lambertini, 2000. "Extended Games Played by Managerial Firms," The Japanese Economic Review, Japanese Economic Association, vol. 51(2), pages 274-283, June.
    28. Juan Carlos Bárcena‐Ruiz, 2009. "The Decision To Hire Managers In Mixed Markets Under Bertrand Competition," The Japanese Economic Review, Japanese Economic Association, vol. 60(3), pages 376-388, September.
    29. José Naya, 2015. "Endogenous timing in a mixed duopoly model," Journal of Economics, Springer, vol. 116(2), pages 165-174, October.
    30. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
    31. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    32. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    33. repec:bla:scotjp:v:47:y:2000:i:5:p:550-70 is not listed on IDEAS
    34. Steven D. Sklivas, 1987. "The Strategic Choice of Managerial Incentives," RAND Journal of Economics, The RAND Corporation, vol. 18(3), pages 452-458, Autumn.
    35. 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.
    36. 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.
    37. 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.
    38. 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.
    39. Amir Rabah, 1995. "Endogenous Timing in Two-Player Games: A Counterexample," Games and Economic Behavior, Elsevier, vol. 9(2), pages 234-237, May.
    40. 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.
    41. 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 incentive parameters; Mixed duopoly; Managerial 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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