Evidence Collection and Inductive Inference

Xiangyu Qu

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Abstract: We study a two-period model where the decision in the second period is based on the ex ante test choice. Individuals are assumed to rank pairs of an option and a trial, where an option is a finite subset of alternatives that represents second period possible choices, and a trial is a finite subset of tests that renders the information of alternatives. Several axioms yield a numerical representation through a credence function as follows. The credence function assigns numbers to alternative-test pairs. The credence number attached to an alternative-test pair can be interpreted as the degree of support that the test renders to the plausibility of the alternative. Given a trial, each alternative is assessed according to the sum of credence numbers over tests in the trial. A pair of an option and a trial is therefore ranked according to the maximum sum of credence numbers among the option with respect to the trial.

Keywords: evidence collection; case-based reasoning; complexity; ex ante hedonic preference (search for similar items in EconPapers)
Date: 2020
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Published in Revue Economique, 2020, Special issue dedicated to David Schmeidler, 71 (2), pp.349. ⟨10.3917/reco.712.0349⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-02973213

DOI: 10.3917/reco.712.0349

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