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The γ -core in Cournot oligopoly TU-games with capacity constraints

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  • Aymeric Lardon

    (GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique)

Abstract

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Suggested Citation

  • Aymeric Lardon, 2012. "The γ -core in Cournot oligopoly TU-games with capacity constraints," Post-Print halshs-00667669, HAL.
    • Handle: RePEc:hal:journl:halshs-00667669
    DOI: 10.1007/s11238-011-9256-5
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    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. Driessen, Theo S.H. & Meinhardt, Holger I., 2005. "Convexity of oligopoly games without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 102-126, July.
    3. Zhao, J, 1996. "A B-Core Existence Result and its Application to Oligopoly Markets," ISER Discussion Paper 0418, Institute of Social and Economic Research, Osaka University.
    4. Norde, Henk & Pham Do, Kim Hang & Tijs, Stef, 2002. "Oligopoly games with and without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 187-207, March.
    5. Rosenthal, Robert W., 1971. "External economies and cores," Journal of Economic Theory, Elsevier, vol. 3(2), pages 182-188, June.
    6. Carsten Helm, 2001. "On the existence of a cooperative solution for a coalitional game with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(1), pages 141-146.
    7. Kaneko, Mamoru, 1977. "The Ratio Equilibria and the Core of the Voting Game G(N, W) in a Public Goods Economy," Econometrica, Econometric Society, vol. 45(7), pages 1589-1594, October.
    8. Rene van den Brink, 2009. "Efficiency and Collusion Neutrality of Solutions for Cooperative TU-Games," Tinbergen Institute Discussion Papers 09-065/1, Tinbergen Institute.
    9. Zhao, Jingang, 1999. "A necessary and sufficient condition for the convexity in oligopoly games," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 189-204, March.
    10. Yukihiko Funaki & Takehiko Yamato, 1999. "The core of an economy with a common pool resource: A partition function form approach," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 157-171.
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    Citations

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    Cited by:

    1. 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).
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Chander Parkash, 2019. "The core of a strategic game," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-10, January.
    7. Chander, Parkash, 2017. "Subgame-perfect cooperative agreements in a dynamic game of climate change," Journal of Environmental Economics and Management, Elsevier, vol. 84(C), pages 173-188.
    8. 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.
    9. Paraskevas Lekeas & Giorgos Stamatopoulos, 2016. "Cooperative Games with Externalities and Probabilistic Coalitional Beliefs," Working Papers 1605, University of Crete, Department of Economics.
    10. Takayuki Watanabe & Nobuo Matsubayashi, 2013. "Note on Stable Mergers in a Market with Asymmetric Substitutability," Economics Bulletin, AccessEcon, vol. 33(3), pages 2024-2033.
    11. 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.
    12. Aymeric Lardon, 2017. "Endogenous interval games in oligopolies and the cores," Annals of Operations Research, Springer, vol. 248(1), pages 345-363, January.
    13. Aymeric Lardon, 2014. "A Partial Characterization of the Core in Bertrand Oligopoly TU-games with Transferable Technologies," GREDEG Working Papers 2014-33, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    14. Dongshuang Hou & Theo Driessen & Aymeric Lardon, 2011. "Convexity and the Shapley value in Bertrand oligopoly TU-games with Shubik's demand functions," Working Papers halshs-00610838, HAL.
    15. 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.
    16. 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.
    17. Artem Sedakov, 2020. "Characteristic Function and Time Consistency for Two-Stage Games with Network Externalities," Mathematics, MDPI, vol. 8(1), pages 1-9, January.

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