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A Proof of Blackwell's Theorem

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Abstract

This note gives a new proof of Blackwell’s celebrated result. The result is a bit stronger than the classical version since the action set and the prior are fixed, and only the utility of the decision maker varies. I show directly that a decision maker has access to a larger set of joint distributions over actions and states of the world if and only if her information improves in the garbling order.
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hal-03393159 , version 1 (21-10-2021)

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Attribution - NoDerivatives - CC BY 4.0

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Eduardo Perez. A Proof of Blackwell's Theorem. 2017. ⟨hal-03393159⟩
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