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A True Expert Knows which Question Should be Asked

Eddie Dekel () and Yossi Feinberg

No 1385, Discussion Papers from Northwestern University, Center for Mathematical Studies in Economics and Management Science

Abstract: We suggest a test for discovering whether a potential expert is informed of the distribution of a stochastic process. In a non-Bayesian non-parametric setting, the expert is asked to make a prediction which is tested against a single realization of the stochastic process. It is shown that by asking the expert to predict a “small” set of sequences, the test will assure that any informed expert can pass the test with probability one with respect to the actual distribution. Moreover, for the uninformed non-expert it is impossible to pass this test, in the sense that for any choice of a “small” set of sequences, only a “small” set of measures will assign a positive probability to the given set. Hence for “most” measures, the non-expert will surely fail the test. We define small as category 1 sets, described in more detail in the paper.

JEL-codes: D83 C14 C50 (search for similar items in EconPapers)
Date: 2006-06
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Working Paper: A True Expert Knows which Question Should Be Asked (2004) Downloads
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