  Economy is demanding new models, able to understand and predict the evolution
of markets. To this respect, Econophysics is offering models of markets as
complex systems, such as the gas-like model, able to predict money
distributions observed in real economies. However, this model reveals some
technical hitches to explain the power law (Pareto) distribution, observed in
individuals with high incomes. Here, non linear dynamics is introduced in the
gas-like model. The results obtained demonstrate that a chaotic gas-like model
can reproduce the two money distributions observed in real economies
(Exponential and Pareto). Moreover, it is able to control the transition
between them. This may give some insight of the micro-level causes that
originate unfair distributions of money in a global society. Ultimately, the
chaotic model makes obvious the inherent instability of asymmetric scenarios,
where sinks of wealth appear in the market and doom it to complete inequality.
