IDEAS home Printed from https://ideas.repec.org/a/eee/reveco/v59y2019icp207-233.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1059056018303381
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.iref.2018.08.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    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. Zhu, Yan-lan & Zhou, Wei & Chu, Tong, 2022. "Analysis of complex dynamical behavior in a mixed duopoly model with heterogeneous goods," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Sato, Susumu & Matsumura, Toshihiro, 2019. "Shadow cost of public funds and privatization policies," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    3. Yasuhiko Nakamura, 2019. "Endogenous Choice of the Timing of Setting Incentive Parameters and the Strategic Contracts in a Managerial Mixed Duopoly with a Welfare-Based Delegation Contract and a Sales Delegation Contract," Journal of Industry, Competition and Trade, Springer, vol. 19(4), pages 679-737, December.

    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. Yasuhiko Nakamura, 2019. "Endogenous Choice of the Timing of Setting Incentive Parameters and the Strategic Contracts in a Managerial Mixed Duopoly with a Welfare-Based Delegation Contract and a Sales Delegation Contract," Journal of Industry, Competition and Trade, Springer, vol. 19(4), pages 679-737, December.
    2. Yasuhiko Nakamura, 2019. "Combining the Endogenous Choice of the Timing of Setting the Levels of Strategic Contracts and Their Contents in a Managerial Mixed Duopoly," Journal of Industry, Competition and Trade, Springer, vol. 19(2), pages 235-261, June.
    3. 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.
    4. Yasuhiko Nakamura, 2018. "Endogenous Market Structures in the Presence of a Socially Responsible Firm," Journal of Industry, Competition and Trade, Springer, vol. 18(3), pages 319-348, September.
    5. Yasuhiko Nakamura, 2015. "Endogenous Choice of Strategic Variables in an Asymmetric Duopoly with Respect to the Demand Functions that Firms Face," Manchester School, University of Manchester, vol. 83(5), pages 546-567, September.
    6. 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.
    7. Junichi Haraguchi & Toshihiro Matsumura, 2020. "Endogenous public and private leadership with diverging social and private marginal costs," Manchester School, University of Manchester, vol. 88(5), pages 699-730, September.
    8. Luciano Fanti, 2017. "An Observable Delay Game with Unionised Managerial Firms," Scottish Journal of Political Economy, Scottish Economic Society, vol. 64(1), pages 50-69, February.
    9. 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.
    10. 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.
    11. Yasuhiko Nakamura, 2017. "Endogenous market structures in a mixed oligopoly with a public firm whose managerial contract is based on welfare and bargaining over the managerial contract of a private firm," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 34(2), pages 189-209, August.
    12. 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.
    13. Yasuhiko Nakamura, 2017. "Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 56(2), pages 174-200, June.
    14. Alessandra Chirco & Caterina Colombo & Marcella Scrimitore, 2013. "Organizational Structure and the Choice of Price vs. Quantity in a Mixed Duopoly," Working Paper series 27_13, Rimini Centre for Economic Analysis.
    15. Yasuhiko Nakamura, 2022. "Corporate social responsibility focusing on consumer surplus and endogenous competition structure: A case of managerial delegation," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(7), pages 3000-3018, October.
    16. Yasuhiko Nakamura, 2015. "Endogenous Choice of Strategic Contracts in a Mixed Duopoly with Bargaining Over Managerial Delegation Contracts," Australian Economic Papers, Wiley Blackwell, vol. 54(2), pages 121-134, June.
    17. 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.
    18. Kosuke Hirose & Toshihiro Matsumura, 2019. "Comparing welfare and profit in quantity and price competition within Stackelberg mixed duopolies," Journal of Economics, Springer, vol. 126(1), pages 75-93, January.
    19. Luciano Fanti & Nicola Meccheri, 2015. "On the Cournot–Bertrand Profit Differential and the Structure of Unionisation in a Managerial Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 54(4), pages 266-287, December.
    20. Yasuhiko Nakamura & Tomohiro Inoue, 2007. "Endogenous Timing in a Mixed Duopoly: The Managerial Delegation Case," Economics Bulletin, AccessEcon, vol. 12(27), pages 1-7.

    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

    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:eee:reveco:v:59:y:2019:i:c:p:207-233. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/620165 .

    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.