Spohn, Wolfgang
Measuring Ranks via the Complete Laws of Iterated Contraction
Abstract
Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper gives a complete axiomatization of that behavior, i.e., a complete set of laws of iterated contraction. It does so by showing how to reconstruct a ranking function from its iterated contraction behavior uniquely up to multi-plicative constant and thus how to measure ranks on a ratio scale.
BibTeX - Entry
@InProceedings{spohn:DagSemProc.07351.14,
author = {Spohn, Wolfgang},
title = {{Measuring Ranks via the Complete Laws of Iterated Contraction}},
booktitle = {Formal Models of Belief Change in Rational Agents},
pages = {1--19},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2007},
volume = {7351},
editor = {Giacomo Bonanno and James Delgrande and J\'{e}r\^{o}me Lang and Hans Rott},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2007/1239},
URN = {urn:nbn:de:0030-drops-12398},
doi = {10.4230/DagSemProc.07351.14},
annote = {Keywords: Ranking theory, iterated contraction, measurement theory}
}
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Keywords: |
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Ranking theory, iterated contraction, measurement theory |
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Seminar: |
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07351 - Formal Models of Belief Change in Rational Agents
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Issue date: |
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2007 |
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Date of publication: |
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22.11.2007 |
22.11.2007
