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Cartelizing Groups In Dynamic Linear Oligopoly With Antitrust Threshold

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Author Info

  • AKIO MATSUMOTO

    ()
    (Department of Economics, Chuo University, 742-1, Higashi-Nakano, Hachioji, Tokyo, 192-0393, Japan)

  • UGO MERLONE

    ()
    (Department of Statistics and Applied Mathematics, University of Torino, Piazza Arbarello 8, Torino I-10122, Italy)

  • FERENC SZIDAROVSZKY

    ()
    (Systems and Industrial Engineering Department, University of Arizona, Tucson, AZ 85721-0020, USA)

Abstract

The effects of partially cooperating firms are examined in N-firm oligopolies. The Herfindahl-Hirschmann Index is assumed to detect the violation of the antitrust regulation by the firms, and based on this assumption a piece-wise differentiable dynamic system can be developed. The firms stop cooperating if this index becomes larger than a certain threshold and they restart or continue cooperating otherwise. The equilibria of the dynamic system are first determined. Local and global asymptotic stability of the equilibria are then investigated showing the complexity of the dynamic behavior of the system.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

Volume (Year): 10 (2008)
Issue (Month): 04 ()
Pages: 399-419

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Handle: RePEc:wsi:igtrxx:v:10:y:2008:i:04:p:399-419

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Related research

Keywords: Oligopolies; partial cooperation; shareholding interlocks; antitrust regulation; C71;

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