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Ian Crawford, Krishna Pendakur, How many types are there?, The Economic Journal, Volume 123, Issue 567, 1 March 2013, Pages 77–95, https://doi.org/10.1111/j.1468-0297.2012.02545.x
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Abstract
We consider a revealed preference‐based method that will bound the minimal partition of consumer microdata into a set of preference types such that the data are perfectly rationalisable by standard utility theory. This provides a simple, non‐parametric and theory‐driven way of investigating unobserved preference heterogeneity in empirical data, and easily extends to any choice model which has a revealed preference characterisation. We illustrate the approach using survey data and find that the number of types is remarkably few relative to the sample size – only four or five types are necessary to fully rationalise all observed choices in a data set with 500 observations of choice vectors.
