Analytic solutions of nonlinear Cournot duopoly game
نویسندگان
چکیده
منابع مشابه
Analytic Solutions of Nonlinear Cournot Duopoly Game
The main aim of this study is to construct an explicit form of an analytic solution of a multidimensional difference equation. To this end, we present a nonlinear Cournot duopoly model with unimodal reaction functions, show that its dynamical system is double logistic when the production externalities involved get stronger, and then give a constructive proof of the existence of an analytic solu...
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We analyze a nonlinear discrete-time Cournot duopoly game, where players have heterogeneous expectations. Two types of players are considered: boundedly rational and naive expectations. In this study we show that the dynamics of the duopoly game with players whose beliefs are heterogeneous, may become complicated. The model gives more complex chaotic and unpredictable trajectories as a conseque...
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A quantum Cournot game whose classical form game has multiple Nash equilibria is examined. Although the classical equilibria fail to be Pareto optimal, the quantum equilibrium exhibits the following two properties: (i) if the measurement of entanglement between strategic variables chosen by the competing firms is sufficiently large, the multiplicity of equilibria vanishes, and (ii) the more str...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2005
ISSN: 1026-0226,1607-887X
DOI: 10.1155/ddns.2005.119