Before revision:  We have shown , in the accompanying paper (Fujii-Takahashi (2020)), that the ] solution to a certain forward backward stochastic differential equation of conditional McKean-Vlasov type gives a good approximate of the equilibrium price which clears the market in the large population limit.
After revision:  We have shown , in the accompanying paper (Fujii-Takahashi (2020)), that the ] solution to a certain forward backward stochastic differential equation of conditional McKean-Vlasov type , asymptotically clears the market in the large population limit.