Mixtures of mean-preserving contractions

Joseph Whitmeyer, Mark Whitmeyer

Research output: Contribution to journalArticlepeer-review


Given any purely atomic probability distribution 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 at most n points. We illustrate several applications of this result to Bayesian persuasion and information design.

Original languageEnglish (US)
Article number102450
JournalJournal of Mathematical Economics
StatePublished - May 2021
Externally publishedYes


  • Bayesian persuasion
  • Fusion of a probability distribution
  • Information design
  • Mean-preserving contraction

ASJC Scopus subject areas

  • Economics and Econometrics
  • Applied Mathematics


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