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Inductive Inference: An Axiomatic Approach

  • Gilboa, I.
  • Schmeidler, D.

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.

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Paper provided by Tel Aviv in its series Papers with number 2001-19.

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Length: 56 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:fth:teavfo:2001-19
Contact details of provider: Postal:
Israel TEL-AVIV UNIVERSITY, THE FOERDER INSTITUTE FOR ECONOMIC RESEARCH, RAMAT AVIV 69 978 TEL AVIV ISRAEL.

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  24. Rajan, Raghuram G, 1992. " Insiders and Outsiders: The Choice between Informed and Arm's-Length Debt," Journal of Finance, American Finance Association, vol. 47(4), pages 1367-400, September.
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