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In this article we develop and illustrate a simple algorithm for computing Markov-perfect Nash equilibria. The advantage of the Markov-perfect framework is that it is flexible enough to reproduce important aspects of reality in a variety of market settings. As a result, we hope that our article and (perhaps improved) versions of the associated algorithms will eventually be a part of a tool kit that allows researchers to go back and forth between the implications of economic theory and the characteristics of alternative datasets.
Pakes et al. (Sat,) studied this question.