This paper deals with a two-dimensional discrete time competition model. The corresponding twodimensional iterative map is represented in terms of its bifurcation diagram in the parameter plane. A number of bifurcation sequences for attractors and their basins are studied.

This paper introduces and analyzes an evolutionary model of a financial market with a risk-free asset. We focus on the local stability of the wealth dynamics, applying recent results on the linearization and stability of random dynamical systems (Evstigneev, Pirogov and Schenk-Hoppé...

The aim of the paper is to analyze the dynamic model of the Cournot duopoly game with bounded rationality associated to two firms. We consider the cost function of the first firm as nonlinear and for the second firm as linear. The players do not have a complete knowledge of the market and they...

We investigate in details a Trejos-Wright random matching model of money with a consumer take-it-or-leave-it offer and the individual money holding set {0,1,2}. First we show generic existence of three kinds of steady states: (1) pure-strategy full-support steady states, (2) mixed-strategy...

We investigate in details a Trejos-Wright random matching model of money with a consumer take-it-or-leave-it offer and the individual money holding set {0,1,2}. First we show generic existence of three kinds of steady states: (1) pure-strategy full-support steady states, (2) mixed-strategy...

This paper investigates a Trejos-Wright random matching model of money with a consumer take-it-or-leave-it offer and with individual money holdings in the set {0, 1, 2}. It is shown that three kinds of monetary steady state exist generically: (1) pure-strategy full-support steady states, (2)...

Comparing the convergence of a Walrasian price adjustment process and that of a Marshallian quantity adjustment process in a multiple market setting, we show that both mechanisms are locally stable for any adjustment speeds if the demand system is characterised by a negative dominant diagonal.

Comparing the convergence of a Walrasian price adjustment process and that of a Marshallian quantity adjustment process in a multiple market setting, we show that both mechanisms are locally stable for any adjustment speeds if the demand system is characterised by a negative dominant diagonal.

It is well known that if there are mild sector-specific externalities, then the steady state of the standard two-sector real business cycle model can become locally indeterminate and endogenous business cycles can arise. We show that this result is not robust to the introduction of standard...

It is well known that if mild sector–specific externalities are considered, then the steady state of the standard two-sector real business cycle model can become locally indeterminate and endogenous business cycles can arise. We show that this result is not robust to the introduction of...