TY - JOUR
T1 - Mixtures of mean-preserving contractions
AU - Whitmeyer, Joseph
AU - Whitmeyer, Mark
N1 - Funding Information:
We thank Ying Chen and two anonymous referees for their useful suggestions. We are also grateful to Gill Grindstaff and Jan Schlupp for their help and advice. Mark Whitmeyer’s work was generously funded by the Deutsche Forschungsgemeinschaft ( DFG, German Research Foundation ) under Germany’s Excellence Strategy-GZ 2047/1, Projekt-ID 390685813 .
Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2021/5
Y1 - 2021/5
N2 - 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.
AB - 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.
KW - Bayesian persuasion
KW - Fusion of a probability distribution
KW - Information design
KW - Mean-preserving contraction
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U2 - 10.1016/j.jmateco.2020.11.006
DO - 10.1016/j.jmateco.2020.11.006
M3 - Article
AN - SCOPUS:85098173013
SN - 0304-4068
VL - 94
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
M1 - 102450
ER -