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In 2007 Lasry & Lions introduced a simple mean field model for the dynamical formation of a price.The model consists of a system of parabolic equations for the trader densities with the agreed price entering as a free boundary.In this talk we present two price formation models,which were motivated by the work of Lasry and Lions.The first model is a simple agent based trade model with standard stochastic price fluctuations and discrete trading events.