An application of a discrete fixed point theorem to the Cournot model

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Sato, Junichi;
  • 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 [7] to the Cournot model [1]. 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.
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