| Abstract: |
| Some economic gas-like models for random conservative markets are addressed. In these models the agents trade by pairs bringing the system toward an statistical equilibrium, this is the asymptotic wealth distribution. The time evolution of these models are given by nonlinear functional mappings. These maps are nonlinear operators in the space of wealth distributions, which are shown to conserve the total and mean wealth of the economic system, and even an H-Theorem can be verified for some cases. Different asymptotic results for several models are presented. The decay to the exponential distribution is found in some of them and a transition to power-like distributions is sketched when a naive bank system is suggested. Simulations and implementations of these systems in different topologies are also presented.
\par {\bf Keywords:} Functional iterations, Gas-like economic models, Economic modeling, Random markets. |
|