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Explicit stability zones for Cournot game with 3 and 4 competitors. (English) Zbl 0952.91003
Summary: The dynamical system of 3 and 4 competitors in a Cournot game is studied. The stability of its fixed points (Nash equilibria) are also investigated. The stable and unstable regions are explicitly shown. The bifurcation characteristics are found. Periodic orbits with different periods 7, 25, 18, 13, 17 etc., are detected in both cases. The study of these models is very rich in bifurcation phenomena.

91A10Noncooperative games
37G99Local and nonlocal bifurcation theory
37N40Dynamical systems in optimization and economics
Full Text: DOI
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