Identifying Structural Equations with Single Market Data

Abstract

This paper demonstrates that the data from a single market with nonlinear prices are consistent with a large set of underlying structural equations. By restricting the permitted functional form of the structural equations, the nonlinearity of marginal prices can be used to identify the price and shift parameters of a single member from the set. The identification approach must be used with great caution, however, because the true shape of supply and demand functions is often unknown and so the necessary restrictions may be unjustified.

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