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 …

We are investigating microeconomic foundations of Cournot duopoly games such that the
reaction functions are unimodal. We demonstrate that cost functions incorporating an …

A dynamic Cournot game characterized by players with bounded rationality is modeled by
two non-linear difference equations. The stability of the equilibria of the discrete dynamical …

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) …

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A nonlinear dynamical system which describe the time evolution of n-competitors in a
Cournot game (Bowley's model) with bounded rationality is analyzed. The existence and …

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 …

Riddled basins denote a characteristic type of fractal domain of attraction that can arise
when a chaotic motion is restricted to an invariant subspace of total phase space. An …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

The time evolution of a dynamic oligopoly game with three competing firms is modeled by a
discrete dynamical system obtained by the iteration of a three-dimensional non-invertible …