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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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Publisher 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;

Find related papers by JEL classification:
B4 - Schools of Economic Thought and Methodology - - Economic Methodology
C0 - Mathematical and Quantitative Methods - - General
C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D5 - Microeconomics - - General Equilibrium and Disequilibrium
D7 - Microeconomics - - Analysis of Collective Decision-Making
M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics

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This page was last updated on 2009-11-13.

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