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Price Versus Quantity in a Duopoly with a Unilateral Effect and with Bargaining over Managerial Contracts

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  • Yasuhiko Nakamura

    (Nihon University)

Abstract

This study examines the endogenous choice of each firm’s strategic contract, that is, a price contract or a quantity contract, in a duopoly in which their demand functions are asymmetric when the content of their managerial contracts is determined through bargaining between the owner and the manager. The degree of asymmetry between their demand functions corresponds to the relation between the goods they produce. In contrast to the case wherein each firm’s delegation parameter is determined through profit maximization, we show that the quantity competition cannot become the equilibrium market structure when the bargaining power of the manager relative to that of the owner is sufficiently low. In particular, when the relation between the two goods is complementary, two asymmetric market structures can be observed in equilibrium. Furthermore, we consider the situation in which the relative bargaining power of the manager to that of the owner within each firm is different between the two firms.

Suggested Citation

  • Yasuhiko Nakamura, 2017. "Price Versus Quantity in a Duopoly with a Unilateral Effect and with Bargaining over Managerial Contracts," Journal of Industry, Competition and Trade, Springer, vol. 17(1), pages 83-119, March.
    • Handle: RePEc:kap:jincot:v:17:y:2017:i:1:d:10.1007_s10842-016-0232-1
    DOI: 10.1007/s10842-016-0232-1
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    References listed on IDEAS

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    1. Tasnadi, Attila, 2006. "Price vs. quantity in oligopoly games," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 541-554, May.
    2. 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.
    3. Arjen van Witteloostuijn & Thijs Jansen & Arie van Lier, 2007. "Bargaining over managerial contracts in delegation games: managerial power, contract disclosure and cartel behavior," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 28(8), pages 897-904.
    4. 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.
    5. repec:ebl:ecbull:v:12:y:2008:i:6:p:1-8 is not listed on IDEAS
    6. Yasuhiko Nakamura, 2008. "Bargaining over Managerial Contracts in Delegation Games: The Differentiated Goods Case," Economics Bulletin, AccessEcon, vol. 12(6), pages 1-8.
    7. Nakamura, Yasuhiko, 2011. "Bargaining over managerial delegation contracts and merger incentives in an international oligopoly," Research in Economics, Elsevier, vol. 65(1), pages 47-61, March.
    8. 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.
    9. Yasuhiko Nakamura, 2017. "Price versus Quantity in a Duopolistic Market with Bargaining over Managerial Delegation Contracts," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 38(3), pages 326-343, April.
    10. Yasuhiko Nakamura, 2008. "Bargaining over Managerial Contracts in Delegation Games: The Quadratic Cost Case," Economics Bulletin, AccessEcon, vol. 12(16), pages 1-7.
    11. Kangsik Choi & Yuanzhu Lu, 2012. "A Note On Endogenous Timing With Strategic Delegation: Unilateral Externality Case," Bulletin of Economic Research, Wiley Blackwell, vol. 64(2), pages 253-264, April.
    12. 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.
    13. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    14. Lambertini, Luca & Trombetta, Marco, 2002. "Delegation and firms' ability to collude," Journal of Economic Behavior & Organization, Elsevier, vol. 47(4), pages 359-373, April.
    15. repec:ebl:ecbull:v:12:y:2008:i:16:p:1-7 is not listed on IDEAS
    16. Tombak, Mihkel M., 2006. "Strategic asymmetry," Journal of Economic Behavior & Organization, Elsevier, vol. 61(3), pages 339-350, November.
    17. 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.
    18. 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.
    19. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    20. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    21. repec:ebl:ecbull:v:12:y:2008:i:7:p:1-8 is not listed on IDEAS
    22. Steven D. Sklivas, 1987. "The Strategic Choice of Managerial Incentives," RAND Journal of Economics, The RAND Corporation, vol. 18(3), pages 452-458, Autumn.
    23. 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.
    24. Yasuhiko Nakamura, 2011. "Bargaining Over Managerial Delegation Contracts And Merger Incentives With Asymmetric Costs," Manchester School, University of Manchester, vol. 79(4), pages 718-739, July.
    25. Yasuhiko Nakamura & Kohei Kamaga, 2008. "Bargaining over Managerial Contracts in Delegation Games: The Sequential Move Case," Economics Bulletin, AccessEcon, vol. 12(7), pages 1-8.
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    Citations

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    Cited by:

    1. 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.
    2. Michael Kopel & Eva Maria Putz, 2021. "Information sharing in a Cournot–Bertrand duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1645-1655, October.
    3. 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.
    4. Xu, Lili & Lee, Sang-Ho, 2024. "Endogenous competition with an integrated public utility firm under an output subsidy policy," Utilities Policy, Elsevier, vol. 87(C).
    5. 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.

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    More about this item

    Keywords

    Cournot; Bertrand; Managerial delegation; Delegation contract bargaining; Asymmetric demand functions;
    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

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