Computational economics is a form of economics which relies on mathematical methods, including mathematical economics and econometrics.

Agent-based computational economics (ACE) is the computational study of economic processes modeled as dynamic systems of interacting agents. Here "agent" refers broadly to a bundle of data and behavioral methods representing an entity constituting part of a computationally constructed world.

There are many publications dedicated wholly or partly to this field.

Preference ACE: http://www.econ.iastate.edu/tesfatsi/ace.htm