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Duopoly competitions with capacity constrained input

Author

Listed:
  • Nie, Pu-yan
  • Chen, You-hua
Abstract
This paper focuses on the duopoly substitutability product with an upstream input subjected to capacity constraints. The effects of capacity constraints are captured. Combining competition effect with constraint effect, some interesting conclusions are reached. First, the relationship between capacity constraints and firm size is addressed. We argue that the capacity constraints reduce market size difference and price difference under Cournot. Second, under the Stackelberg case, the existence of solution is proved, and Stackelberg competitions enlarge firm-size difference and price difference if the more efficient firm plays the leading position. When the weaker firm plays the leading position, the conclusions depend on the total capacity. Finally, under the Stackelberg case, when the stronger firm plays the leading position, the firm-size difference and price difference decrease with total input under capacity constraints, which is contrary to the conclusions under Cournot competitions.

Suggested Citation

  • Nie, Pu-yan & Chen, You-hua, 2012. "Duopoly competitions with capacity constrained input," Economic Modelling, Elsevier, vol. 29(5), pages 1715-1721.
    • Handle: RePEc:eee:ecmode:v:29:y:2012:i:5:p:1715-1721
    DOI: 10.1016/j.econmod.2012.05.022
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    References listed on IDEAS

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    5. Ishibashi, Ikuo, 2008. "Collusive price leadership with capacity constraints," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 704-715, May.
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    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.
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    Cited by:

    1. Gérard Mondello, 2022. "Strict liability, scarce generic input and duopoly competition," European Journal of Law and Economics, Springer, vol. 54(3), pages 369-404, December.
    2. Nie, Pu-yan & Wang, Chan & Wen, Hong-xing, 2021. "Horizontal mergers under uniform resource constraints," Journal of Retailing and Consumer Services, Elsevier, vol. 63(C).
    3. Chen, You-hua & Chen, Liu-man & Mishra, Ashok K., 2021. "Information, Capacity Constraints and Quality on Firms Competition," 2021 ASAE 10th International Conference (Virtual), January 11-13, Beijing, China 329427, Asian Society of Agricultural Economists (ASAE).
    4. Pu‐yan Nie & Yong‐cong Yang, 2020. "Cost‐reduction innovation under mixed economy," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(7), pages 1195-1201, October.
    5. Aiyuan Tao & X. Henry Wang & Bill Z. Yang, 2018. "Duopoly models with a joint capacity constraint," Journal of Economics, Springer, vol. 125(2), pages 159-172, October.
    6. Chan Wang & Pu‐yan Nie & Yan Meng, 2018. "Duopoly Competition with Corporate Social Responsibility," Australian Economic Papers, Wiley Blackwell, vol. 57(3), pages 327-345, September.
    7. Chen, You-hua & Huang, Sun-jun & Mishra, Ashok K. & Wang, X. Henry, 2018. "Effects of input capacity constraints on food quality and regulation mechanism design for food safety management," Ecological Modelling, Elsevier, vol. 385(C), pages 89-95.
    8. A. Bërdëllima, 2021. "Duopoly price competition with limited capacity," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 143-154, April.
    9. Kim, Jeong-Yoo & Lee, Myeong Ho & Berg, Nathan, 2016. "Peak-load pricing in duopoly," Economic Modelling, Elsevier, vol. 57(C), pages 47-54.
    10. Nie, Pu-yan, 2013. "Duopoly quality commitment," Economic Modelling, Elsevier, vol. 33(C), pages 832-842.
    11. Pu‐yan Nie & Hong‐xing Wen & Chan Wang, 2023. "Price cap regulation under duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(3), pages 1376-1382, April.
    12. You-Hua Chen & Xiao-Wei Wen & Ming-Zhong Luo, 2016. "Corporate Social Responsibility Spillover and Competition Effects on the Food Industry," Australian Economic Papers, Wiley Blackwell, vol. 55(1), pages 1-13, March.
    13. Pu-yan Nie, 2014. "Effects of capacity constraints on mixed duopoly," Journal of Economics, Springer, vol. 112(3), pages 283-294, July.
    14. You-Hua CHEN & Jun-Yi WAN & Chan WANG, 2015. "Agricultural subsidy with capacity constraints and demand elasticity," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 61(1), pages 39-49.
    15. Xepapadeas, Petros, 2023. "Multi-agent, multi-site resource allocation under quotas with a Stackelberg leader and network externalities," Economic Modelling, Elsevier, vol. 121(C).
    16. Pu†yan Nie, 2018. "Comparing Horizontal Mergers Under Cournot with Bertrand Competitions," Australian Economic Papers, Wiley Blackwell, vol. 57(1), pages 55-80, March.
    17. Desmond Cai & Anish Agarwal & Adam Wierman, 2020. "On the Inefficiency of Forward Markets in Leader–Follower Competition," Operations Research, INFORMS, vol. 68(1), pages 35-52, January.
    18. Udhayanan, Prateksha & Mishra, Swasti S. & Rao, Shrisha, 2021. "Firm dynamics and employee performance management in duopoly markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).

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    More about this item

    Keywords

    Capacity constraints; Cournot competition; Firm-size difference; Stackelberg; Price dispersion;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • J3 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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