Econometrics - Jackson Bunting (Duke University and Texas A&M University)

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Kevin Staub

kevin.staub@unimelb.edu.au

Title: Testing homogeneity in dynamic discrete games in finite samples
Abstract: The literature on dynamic discrete games often assumes that the conditional choice probabilities and the state transition probabilities are homogeneous across markets and over time. We
refer to this as the “homogeneity assumption” in dynamic discrete games. This homogeneity
assumption enables empirical studies to estimate the game’s structural parameters by pooling
data from multiple markets and from many time periods. In this paper, we propose a hypothesis
test to evaluate whether the homogeneity assumption holds in the data. Our hypothesis is the
result of an approximate randomization test, implemented via a Markov chain Monte Carlo
(MCMC) algorithm. We show that our hypothesis test becomes valid as the (user-defined)
number of MCMC draws diverges, for any fixed number of markets, time-periods, and players.
We apply our test to the empirical study of the U.S. Portland cement industry in Ryan (2012).