Analytic solutions of nonlinear Cournot duopoly game | Zendy

Akio Matsumoto | Zendy; Mami Suzuki | Zendy

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Analytic solutions of nonlinear Cournot duopoly game

Author(s) -

Akio Matsumoto,

Mami Suzuki

Publication year - 2005

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/ddns.2005.119

Subject(s) - cournot competition , duopoly , nonlinear system , mathematical economics , order (exchange) , construct (python library) , mathematics , production (economics) , economics , mathematical optimization , computer science , microeconomics , physics , finance , quantum mechanics , programming language

We construct a Cournot duopoly model with production externality in which reaction functions are unimodal. We consider the case of a Cournot model which has a stable equilibrium point. Then we show the existence of analytic solutions of the model. Moreover, we seek general solutions of the model in the form of nonlinear second-order difference equation

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