An application of a discrete fixed point theorem to the Cournot modelPreprint English OPEN
- Publisher: Faculty of Mathematics, Kyushu University
- Journal: MHF Preprint Series,volume 2008-1
Subject: Economics | Game theory | Discrete fixed point theorem | Cournot model
arxiv: Nonlinear Sciences::Adaptation and Self-Organizing Systems | Computer Science::Computer Science and Game Theory
In this paper, we apply a discrete fixed point theorem of  to the Cournot model . Then we can deal with the Cournot model where the production of the enterprises is discrete. To handle it, we define a discrete Cournot-Nash equilibrium, and prove its existence.