| Abstract: |
| We study discounted infinite-time mean field games, for which a Nash
equilibrium is constructed using the stochastic maximum principle and
infinite-time McKean-Vlasov forward-backward stochastic differential
equations. We then prove that, at the Nash equilibrium, the value
function of the representative player provides a viscosity solution to the
corresponding elliptic master equation. Furthermore, we establish the
uniqueness of classical solutions to the elliptic master equation under
displacement monotonicity and certain growth assumptions. This talk is
based on a joint paper with Zeyu Yang. |
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