Johnny Carson Vs the Smothers Brothers Monolog Vs Dialog in Costly Bilateral

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Johnny Carson Vs the Smothers Brothers Monolog Vs Dialog in Costly Bilateral
Fred Kofman
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In the worst-case, X = sup ai^ = 0. 63054, and X's best guess, from (A. 6), is v^ = i(0. 63054)(0. 70711 + 1) = 0. 53820. Which results, from (A. 7), in the error i(0. 63054)(l -0. 7071 1) = 0. 09234.
We are not at this point asserting that the exhibited dialog is efficient; that is not necessary for our claim that it is superior to any efficient monolog.
Johnny Carson vs. The Smothers Brothers February 27. 1991 Fred Kofman and Jim Ratlitf Page 23 Monolog is efficient with additive separability
... We have seen above that monolog need not be sufficient for efficiency. We now show that whenever the optimal action function is additively separable, monolog is efficient — no dialog can do better. By additively separable we mean that the optimal action function is of the form (p(x, y)=f(x) + g(y), where f: Ex-^^ and g: Ey—* R are continuous. In order to prove this result we can use the upcoming Theorem 8 to justify restricting attention to optimal action functions of the simpler form



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