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Inductive Inference: An Axiomatic Approach

Itzhak Gilboa and David Schmeidler

Working Papers from Tel Aviv

Abstract: A predictor is asked to rank eventualities according to their plausibility, based on past cases. We assume that she can form a ranking given any memory that consists of finitely many past cases. Mild consistency requirements on these rankings imply that they have a numerical representation via a matrix assigning numbers to eventuality-case pairs, as follows. Given a memory, each eventuality is ranked according to the sum of the numbers in its row, over cases in memory. The number attached to an eventuality-case pair can be interpreted as the degree of support that the past lends to the plausibility of the eventuality.

Keywords: INFERENCE; EVALUATION; EXPECTATIONS (search for similar items in EconPapers)
JEL-codes: C1 D8 (search for similar items in EconPapers)
Pages: 56 pages
Date: 2001
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Citations: View citations in EconPapers (4)

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Journal Article: Inductive Inference: An Axiomatic Approach (2003)
Working Paper: Inductive Inference: An Axiomatic Approach (2003)
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Working Paper: Inductive Inference: an Axiomatic Approach (1999)
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