DagSemProc.07351.14.pdf
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Measuring Ranks via the Complete Laws of Iterated Contraction
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Dagstuhl Seminar Proceedings, Volume 7351
Series: Dagstuhl Seminar Proceedings (DagSemProc) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2007-11-22
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Wolfgang Spohn. Measuring Ranks via the Complete Laws of Iterated Contraction. In Formal Models of Belief Change in Rational Agents. Dagstuhl Seminar Proceedings, Volume 7351, pp. 1-19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2007)
https://doi.org/10.4230/DagSemProc.07351.14
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.
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Keywords
- Ranking theory
- iterated contraction
- measurement theory
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