The contagion process in a financial model: a synergetic approach

In this work we analyze a financial market model based on the imitative behaviour between n traders. Every agent has an investment attitude which can be influenced by other agents’ opinions, introducing in this way a “contagion process”. We formalize this process using the “synergetic approach”, leading to the construction of a noninvertible discrete dynamical map. Some bifurcations involving the fundamental equilibrium point and the structure of its basins are analyzed.