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Coalitional Approaches to Collusive Agreements in Oligopoly Games

Author

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  • Sergio Currarini

    (University of Leicester, Universita' di Venezia and Euro-Mediterranean Center on Climate Change)

  • Marco A. Marini

    (Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza")

Abstract

In this paper we review a number of coalitional solution concepts for the analysis of cartel and merger stability in oligopoly. We show that, although so far the industrial organization and the cooperative game-theoretic literature have proceeded somehow independently on this topic, the two approaches are highly inter-connected. We first consider the basic problem of the stability of the whole industry association of firms under oligopoly and, for this purpose, we introduce the concept of core in oligopoly games. We show that different assumptions on the behaviour as well as on the timing of the coalitions of firms yield very different results on the set of allocations which are core-stable. We then consider the stability of associations of firms organized in coalition structures different from the grand coalition. To this end, various coalition formation games recently introduced by the so called endogenous coalition formation literature are critically reviewed. Again, different assumptions concerning the timing and the behaviour of firms are shown to yield a wide range of different results. We conclude by reviewing some recent extensions of the coalitional analysis to oligopolistic markets with heterogeneous firms and incomplete information.

Suggested Citation

  • Sergio Currarini & Marco A. Marini, 2013. "Coalitional Approaches to Collusive Agreements in Oligopoly Games," DIAG Technical Reports 2013-15, Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza".
  • Handle: RePEc:aeg:report:2013-15
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    Cited by:

    1. Marco A. Marini, 2018. "Collusive agreements in vertically differentiated markets," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume II, chapter 3, pages 34-56, Edward Elgar Publishing.
    2. 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).
    3. Gabszewicz Jean J. & Marini Marco A. & Tarola Ornella, 2019. "Endogenous Mergers in Markets with Vertically Differentiated Products," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-22, January.
    4. Gabszewicz, J.J. & Marini, M. & Tarola, O., 2015. "Alliance Formation in a Vertically Differentiated Market," LIDAM Discussion Papers CORE 2015030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. 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.
    6. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2016. "Core existence in vertically differentiated markets," Economics Letters, Elsevier, vol. 149(C), pages 28-32.
    7. Gabszewicz, Jean J. & Marini, Marco A. & Tarola, Ornella, 2015. "Endogenous Mergers in Vertically Differentiated Markets," MPRA Paper 68318, University Library of Munich, Germany.
    8. 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.
    9. Takayuki Watanabe & Nobuo Matsubayashi, 2013. "Note on Stable Mergers in a Market with Asymmetric Substitutability," Economics Bulletin, AccessEcon, vol. 33(3), pages 2024-2033.

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    More about this item

    Keywords

    Cooperative Games; Coalitions; Mergers; Cartels; Core; Games with Ex- ternalities; Endogenous Coalition Formation;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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