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Convexity of Bertrand oligopoly TU-games with differentiated products

Author

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  • Aymeric Lardon

    (GREDEG - Groupe de Recherche en Droit, Economie et Gestion - UNS - Université Nice Sophia Antipolis (1965 - 2019) - CNRS - Centre National de la Recherche Scientifique - UniCA - Université Côte d'Azur)

Abstract

We consider Bertrand oligopoly TU-games with differentiated products. We assume that the demand system is Shubik's and that firms operate at a constant and identical marginal and average cost. Our main results state that Bertrand oligopoly TU-games in alpha, beta and gamma-characteristic function form satisfy the convexity property, meaning that there exist strong incentives for large-scale cooperation between firms on prices.

Suggested Citation

  • Aymeric Lardon, 2018. "Convexity of Bertrand oligopoly TU-games with differentiated products," Post-Print halshs-00544056, HAL.
    • Handle: RePEc:hal:journl:halshs-00544056
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00544056v2
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    Cited by:

    1. Giorgos Stamatopoulos, 2020. "On the $$\gamma $$γ-core of asymmetric aggregative games," Theory and Decision, Springer, vol. 88(4), pages 493-504, May.
    2. Stamatopoulos, Giorgos, 2018. "On the gamma-core of asymmetric aggregative games," MPRA Paper 88722, University Library of Munich, Germany.
    3. Paraskevas Lekeas & Giorgos Stamatopoulos, 2016. "Cooperative Games with Externalities and Probabilistic Coalitional Beliefs," Working Papers 1605, University of Crete, Department of Economics.
    4. 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.
    5. Wang, Lei & Zhao, Jingang, 2024. "The core in an N-firm dynamic Cournot oligopoly," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 20-26.
    6. 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.
    7. 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.

    More about this item

    Keywords

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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