Computation of Mean Field Equilibria in Economics

Abstract

Motivated by a mean field games stylized model for the choice of technologies (with externalities and economy of scale), we consider the associated optimization problem and prove an existence result. To complement the theoretical result, we introduce a monotonic algorithm to find the mean field equilibria. We close with some numerical results, including the multiplicity of equilibria describing the possibility of a technological transition. keywords: Mean field games, dynamic equilibrium, externalities, monotonic algorithms, optimal control, non-convex optimization.

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Cite this paper

@inproceedings{Lachapelle2017ComputationOM, title={Computation of Mean Field Equilibria in Economics}, author={Aim{\'e} Lachapelle and Julien Salomon and Gabriel Turinici}, year={2017} }