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Blackwell's informativeness theorem - Wikipedia

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In the mathematical subjects of information theory and decision theory, Blackwell's informativeness theorem is an important result related to the ranking of information structures, or experiments. It states that there is an equivalence between three possible rankings of information structures: one based in expected utility, one based in informativeness, and one based in feasibility. This ranking defines a partial order over information structures known as the Blackwell order, or Blackwell's criterion.[1][2] The theorem states equivalent conditions under which any expected utility maximizing decision maker prefers information structure 𝜎 over 𝜎 ′ , for any decision problem. The result was first proven by David Blackwell in 1951, and generalized in 1953.[3][4] A decision maker faces a set of possible states of the world Ω and a set of possible actions 𝐴 to take. For every 𝜔 ∈ Ω and 𝑎 ∈ 𝐴 , her utility is 𝑢 ( 𝜔 , 𝑎 ) . She does not know the state of the world 𝜔 , but

Blackwell's informativeness theorem - Wikipedia Jump to content From Wikipedia, the free encyclopedia Information theorem "Blackwell order" redirects here. For other uses, see Rao-Blackwell Theorem . In the mathematical subjects of information theory and decision theory , Blackwell's informativeness theorem is an important result related to the ranking of information structures, or experiments. It states that there is an equivalence between three possible rankings of information structures: one based in expected utility , one based in informativeness , and one based in feasibility . This ranki

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