In this paper, we propose a mean-field game model for the price formation of commodity whose production is subjected to random fluctuations. The generalizes existing deterministic models. Agents seek minimize their average cost by choosing trading rates with that characterized balance between supply and demand. processes are assumed follow stochastic differential equations. Here, show that, lin...

Lucas and Moll have proposed a system of forward-backward partial differential equations that model knowledge diffusion economic growth. It arises from microscopic learning for mean-field type interacting individual agents. In this paper, we prove existence traveling wave solutions to system. They correspond what is known in economics as balanced growth path solutions. We also study the depende...