We rigorously prove the existence of chaotic dynamics for a triopoly game model. In the model considered, the three firms are heterogeneous and in fact each of them adopts a different decisional mechanism, i.e., linear approximation, best response and gradient mechanisms, respectively. The method we employ is the so-called "Stretching Along the Paths" (SAP) technique, based on the Poincaré-Miranda Theorem and on the properties of the cutting surfaces.
Pireddu, M. (2015). Chaotic dynamics in three dimensions: A topological proof for a triopoly game model. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 25, 79-95 [10.1016/j.nonrwa.2015.03.003].
Chaotic dynamics in three dimensions: A topological proof for a triopoly game model
Pireddu, M
2015
Abstract
We rigorously prove the existence of chaotic dynamics for a triopoly game model. In the model considered, the three firms are heterogeneous and in fact each of them adopts a different decisional mechanism, i.e., linear approximation, best response and gradient mechanisms, respectively. The method we employ is the so-called "Stretching Along the Paths" (SAP) technique, based on the Poincaré-Miranda Theorem and on the properties of the cutting surfaces.
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Pireddu-2015-Nonlinear Analysis-VoR.pdf
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