For piecewise-smooth maps, new dynamics can be created by varying parameters such that a fixed point collides with a surface on which the map is nonsmooth. If the map is continuous …
Oligopoly theory is one of the most intensively studied areas of mathematical economics. On the basis of the pioneering works of Cournot (1838), many researchers have developed and …
Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to …
A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working …
GI Bischi, A Naimzada - Advances in dynamic games and applications, 2000 - Springer
A dynamic Cournot duopoly game, characterized by firms with bounded rationality, is represented by a discrete-time dynamical system of the plane. Conditions ensuring the local …
GI Bischi, M Kopel - Journal of Economic Behavior & Organization, 2001 - Elsevier
We analyze a nonlinear discrete time Cournot duopoly game, where players have adaptive expectations. The evolution of expected outputs over time is generated by the iteration of a …
M Hasler, YL Maistrenko - IEEE Transactions on Circuits and …, 1997 - ieeexplore.ieee.org
In this tutorial paper, various phenomena linked to the synchronization of chaotic systems are discussed using the simple example of two coupled skew tent maps. The phenomenon …
1.1 BACKGROUND Our goal is to present the fundamentals of two-dimensional (2D) iteration theory through examples, with extensive graphics (for which the 2D context is ideal) …
GI Bischi, C Mammana, L Gardini - Chaos, Solitons & Fractals, 2000 - Elsevier
A dynamic Cournot duopoly game, whose time evolution is modeled by the iteration of a map T:(x, y)→(r1 (y), r2 (x)), is considered. Results on the existence of cycles and more …