We calibrate a sequence of four nested models to study the dynamics of wealth accumulation. Individuals maximize a utility function whose arguments are consumption and investment. They desire to accumulate wealth for its own sake — this is not a life-cycle model. A competitive ﬁrm produces a single good from labor and capital; the rate of return to capital and the wage rate are market-clearing. The second model introduces political lobbying by the wealthy, whose purpose is to reduce the tax rate on capital income. The third model introduces diﬀerential rates of return to capitals of diﬀerent sizes. The fourth model introduces inheritance and intergenerational mobility.
De Donder, Philippe and Roemer, John E., "The Dynamics of Capital Accumulation in the US: Simulations after Piketty" (2015). Cowles Foundation Discussion Papers. 2431.