IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v185y2019ics0165176519303751.html
   My bibliography  Save this article

A limit theorem for the core of Betrand oligopoly games with externalities

Author

Listed:
  • Kong, Qianqian
  • Sun, Hao
  • Xu, Genjiu
  • Sun, Panfei

Abstract

This paper formulates the concept of Betrand oligopoly partition games. Furthermore, it is demonstrated that such well-defined games have positive externalities. More importantly, the core is proved to approximate the Equal Division solution in infinite markets.

Suggested Citation

  • Kong, Qianqian & Sun, Hao & Xu, Genjiu & Sun, Panfei, 2019. "A limit theorem for the core of Betrand oligopoly games with externalities," Economics Letters, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:ecolet:v:185:y:2019:i:c:s0165176519303751
    DOI: 10.1016/j.econlet.2019.108747
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176519303751
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2019.108747?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. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    2. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    3. Dongshuang Hou & Aymeric Lardon & T. S. H. Driessen, 2017. "Stackelberg Oligopoly TU-Games: Characterization and Nonemptiness of the Core," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-16, December.
    4. Paraskevas V. Lekeas, 2013. "Coalitional Beliefs In Cournot Oligopoly Tu Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1-21.
    5. R. M. Thrall & W. F. Lucas, 1963. "N‐person games in partition function form," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 10(1), pages 281-298, March.
    6. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    7. Aymeric Lardon, 2012. "The γ-core in Cournot oligopoly TU-games with capacity constraints," Theory and Decision, Springer, vol. 72(3), pages 387-411, March.
    8. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
    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. Zhou, Wuhao & Xu, Yuanlu & Zhang, Li & Lin, Huifang, 2023. "Does public behavior and research development matters for economic growth in SMEs: Evidence from Chinese listed firms," Economic Analysis and Policy, Elsevier, vol. 79(C), pages 107-119.
    2. Li, ChangZheng & Umair, Muhammad, 2023. "Does green finance development goals affects renewable energy in China," Renewable Energy, Elsevier, vol. 203(C), pages 898-905.
    3. Guohua Liu & Mohammed Arshad Khan & Ahsanuddin Haider & Moin Uddin, 2022. "Financial Development and Environmental Degradation: Promoting Low-Carbon Competitiveness in E7 Economies’ Industries," IJERPH, MDPI, vol. 19(23), pages 1-16, December.
    4. Hasan, Mohammad Maruf & Du, Fang, 2023. "Nexus between green financial development, green technological innovation and environmental regulation in China," Renewable Energy, Elsevier, vol. 204(C), pages 218-228.
    5. Xu, Jialong & Moslehpour, Massoud & Tran, Trung Kien & Dinh, Khai Cong & Ngo, Thanh Quang & Huy, Pham Quang, 2023. "The role of institutional quality, renewable energy development and trade openness in green finance: Empirical evidence from South Asian countries," Renewable Energy, Elsevier, vol. 207(C), pages 687-692.

    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. Takeda, Kohei & Hosoe, Toyoki & Watanabe, Takayuki & Matsubayashi, Nobuo, 2018. "Stability analysis of horizontal mergers in a market with asymmetric substitutability," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 73-84.
    2. Aymeric Lardon, 2019. "On the coalitional stability of monopoly power in differentiated Bertrand and Cournot oligopolies," Theory and Decision, Springer, vol. 87(4), pages 421-449, November.
    3. Parkash Chander, 2020. "Stability of the merger-to-monopoly and a core concept for partition function games," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 953-973, December.
    4. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2016. "Core existence in vertically differentiated markets," Economics Letters, Elsevier, vol. 149(C), pages 28-32.
    5. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.
    6. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, July.
    7. Sergio Currarini & Marco A. Marini, 2015. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," Manchester School, University of Manchester, vol. 83(3), pages 253-287, June.
    8. Takayuki Watanabe & Nobuo Matsubayashi, 2013. "Note on Stable Mergers in a Market with Asymmetric Substitutability," Economics Bulletin, AccessEcon, vol. 33(3), pages 2024-2033.
    9. Stamatopoulos, Giorgos, 2018. "Cooperative games with externalities and probabilistic coalitional beliefs," MPRA Paper 92862, University Library of Munich, Germany.
    10. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    11. Giorgos Stamatopoulos, 2020. "On the $$\gamma $$γ-core of asymmetric aggregative games," Theory and Decision, Springer, vol. 88(4), pages 493-504, May.
    12. Heinrich H. Nax, 2014. "A Note on the Core of TU-cooperative Games with Multiple Membership Externalities," Games, MDPI, vol. 5(4), pages 1-13, October.
    13. Aymeric Lardon, 2020. "Convexity of Bertrand oligopoly TU-games with differentiated products," Annals of Operations Research, Springer, vol. 287(1), pages 285-302, April.
    14. Messan Agbaglah, 2014. "A recursive core for cooperative games with overlapping coalitions," Cahiers de recherche 14-07, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    15. Aymeric Lardon, 2017. "On the Coalitional Stability of Monopoly Power in Differentiated Bertrand and Cournot Oligopolies," GREDEG Working Papers 2017-10, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    16. Stéphane Gonzalez & Aymeric Lardon, 2018. "Optimal deterrence of cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 207-227, March.
    17. Parkash Chander, 2007. "The gamma-core and coalition formation," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(4), pages 539-556, April.
    18. Bloch, Francis & van den Nouweland, Anne, 2014. "Expectation formation rules and the core of partition function games," Games and Economic Behavior, Elsevier, vol. 88(C), pages 339-353.
    19. Takaaki Abe & Yukihiko Funaki, 2021. "The projective core of symmetric games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 167-183, March.
    20. László Kóczy, 2007. "A recursive core for partition function form games," Theory and Decision, Springer, vol. 63(1), pages 41-51, August.

    More about this item

    Keywords

    Betrand oligopoly; Externalities; Core; Limit; Equal Division solution;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior

    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:ecolet:v:185:y:2019:i:c:s0165176519303751. 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/ecolet .

    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.