In several situations the consequences of an actor’s choices are also affected by the actions of other actors. This is one of the aspects which determines the complexity of social systems and make them behave as a whole. Systems characterized by such a trade-off between individual choices and...

We develop a financial market model with interacting chartists and fundamentalists that embeds the famous bull and bear market model of Huang and Day as a special case. Their model is given by a one-dimensional continuous piecewise-linear map. Our model, on the other hand, is more flexible and...

We present a simple financial market model with interacting chartists and fundamentalists. Since some of these speculators only become active when a certain misalignment level has been crossed, the dynamics are driven by a discontinuous piecewise linear map. The model endogenously generates...

In this work, we reconsider the dynamics of a few versions of the classical Samuelson's multiplier-accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order difference equation, is able to generate...

In dynamic economic models derived from optimization principles, the forward equilibrium dynamics may not be uniquely de…fined, while the backward dynamics is well de…fined. We derive properties of the global forward equilibrium paths based on properties of the backward dynamics. We propose...

We develop a three-dimensional nonlinear dynamic model in which the stock markets of two countries are linked through the foreign exchange market. Connections are due to the trading activity of heterogeneous speculators. Using analytical and numerical tools, we seek to explore how the coupling...

In the fi…rst part of our paper we proposed a three-dimensional nonlinear dynamic model of interacting stock and foreign exchange markets, jointly driven by the speculative activity of heterogeneous investors. We focused, in particular, on the typical 'bull and bear' scenario that emerges from...

We present a simple financial market model with interacting chartists and fundamentalists. Since some speculators only become active when a certain misalignment level has been crossed, the model dynamics is driven by a discontinuous piecewise linear map. Recent mathematical techniques allow a...

In this paper we consider a discontinuous one-dimensional piecewise linear model describing a neoclassical growth model. These kind of maps are widely used in the applied context. We determine the analytical expressions of border collision bifurcation curves, responsible for the observed...