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Journal Articles M3AS Year : 2010

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.
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Dates and versions

hal-00346214 , version 1 (11-12-2008)
hal-00346214 , version 2 (09-06-2009)

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Aimé Lachapelle, Julien Salomon, Gabriel Turinici. COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS. M3AS, 2010, 20 (4), pp.567-588. ⟨10.1142/S0218202510004349⟩. ⟨hal-00346214v2⟩
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