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URN: urn:nbn:de:0030-drops-12398
URL: http://drops.dagstuhl.de/opus/volltexte/2007/1239/
Spohn, Wolfgang

Measuring Ranks via the Complete Laws of Iterated Contraction

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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:DSP:2007:1239,
  author =	{Wolfgang Spohn},
  title =	{Measuring Ranks via the Complete Laws of Iterated Contraction},
  booktitle =	{Formal Models of Belief Change in Rational Agents},
  year =	{2007},
  editor =	{Giacomo Bonanno and James Delgrande and J{\'e}r{\^o}me Lang and Hans Rott},
  number =	{07351},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2007/1239},
  annote =	{Keywords: Ranking theory, iterated contraction, measurement theory}
}

Keywords: Ranking theory, iterated contraction, measurement theory
Seminar: 07351 - Formal Models of Belief Change in Rational Agents
Issue date: 2007
Date of publication: 22.11.2007

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