The coexistence of several stable states for a given set of parameters has been observed in
many natural and experimental systems as well as in theoretical models. This paper gives …

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 …

We study the nature and dependence on parameters of certain invariant sets of
noninvertible maps of the plane. The invariant sets we consider are unstable manifolds of …

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 …

This authoritative treatment covers theory, optimal estimation and a range of practical
applications. The first book on the subject, and written by leading researchers, this clear and …

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 …

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) …

A scheme is proposed to classify the basins for attractors of dynamical systems in arbitrary
dimensions. There are four basic classes depending on their size and extent, and each …

We consider a Cournot oligopoly game, where firms produce an homogenous good and the
demand and cost functions are nonlinear. These features make the classical best reply …

The phenomenon of synchronization of a two-dimensional discrete dynamical system is
studied for the model of an economic duopoly game, whose time evolution is obtained by …