Existence of Unique Equilibrium in Cournot Mixed Oligopoly

Koji Okuguchi () and Takeshi Yamazaki
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Koji Okuguchi: Tokyo Metropolitan University, Japan
Takeshi Yamazaki: ��Department of Economics, Niigata University, Japan

International Game Theory Review (IGTR), 2018, vol. 20, issue 03, 1-13

Abstract: The properties of Cournot mixed oligopoly consisting of one public firm and one or more than one private firms have mostly been analyzed for simple cases on the basis of numerical calculations of the equilibrium values for a linear market demand function and linear or quadratic cost functions. In this paper, after proving the existence of a unique equilibrium in Cournot mixed oligopoly under general conditions on the market demand and each firm’s cost function, we derive conditions ensuring the existence of a unique Nash equilibrium for the mixed oligopoly where one public firm and at least one of the private firms are active in a general model of Cournot mixed oligopoly with one public firm and several private firms.

Keywords: Mixed oligopoly; Cournot; equilibrium; existence (search for similar items in EconPapers)
JEL-codes: D43 H32 L13 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0219198917500359

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