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Optimal Deterrence of Cooperation

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  • Stéphane Gonzalez

    (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)

  • 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 introduce axiomatically a new solution concept for cooperative games with transferable utility inspired by the core. While core solution concepts have investigated the sustainability of cooperation among players, our solution concept, called contraction core, focuses on the deterrence of cooperation. The main interest of the contraction core is to provide a monetary measure of the robustness of cooperation into the grand coalition. We motivate this concept by providing optimal fine imposed by competition authorities for the dismantling of cartels in oligopolistic markets. We characterize the contraction core on the set of balanced cooperative games with transferable utility by four axioms: the two classic axioms of non-emptiness and individual rationality, a superadditivity principle and a new axiom of consistency.

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  • Stéphane Gonzalez & Aymeric Lardon, 2016. "Optimal Deterrence of Cooperation," Working Papers halshs-01333392, HAL.
    • Handle: RePEc:hal:wpaper:halshs-01333392
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01333392
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    References listed on IDEAS

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    6. 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.
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    Cited by:

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    2. João Ricardo Faria & Peter F. Wanke & João J. Ferreira & Franklin G. Mixon, 2018. "Research and innovation in higher education: empirical evidence from research and patenting in Brazil," Scientometrics, Springer;Akadémiai Kiadó, vol. 116(1), pages 487-504, July.

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    More about this item

    Keywords

    TU-game; contraction core; optimal fine; Cournot oligopoly; axiomatization;
    All these keywords.

    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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