This paper outlines recently developed techniques for estimating the primitives needed to empirically analyze equilibrium interactions and their implications in oligopolistic markets. It is divided into an introduction and three sections; a section on estimating demand functions, a section on estimating production functions, and a section on estimating dynamic parameters (parameters estimated through their implications on the choice of controls which determine the distribution of future profits). The introduction provides an overview of how these primitives are used in typical I.O. applications, and explains how the individual sections are structured. The topics of the three sections have all been addressed in prior literature. Consequently each section begins with a review of the problems I.O. researchers encountered in using the prior approaches. The sections then continue with a fairly detailed explanation of the recent techniques and their relationship to the problems with the prior approaches. Hopefully the detail is rich enough to enable the reader to actually program up a version of the techniques and use them to analyze data. We conclude each section with a brief discussion of some of the problems with the more recent techniques. Here the emphasis is on when those problems are likely to be particularly important, and on recent research designed to overcome them when they are.
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