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Mixtures of Mean-Preserving Contractions

Published 13 May 2019 in econ.TH and math.PR | (1905.05157v3)

Abstract: Given a purely atomic probability measure with support on n points, P, any mean-preserving contraction (mpc) of P, Q, with support on m > n points is a mixture of mpcs of P, each with support on most n points. We illustrate an application of this result in economics.

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