@inproceedings{Spohn2007Measu-59352,
  year={2007},
  doi={10.4230/DagSemProc.07351.14},
  title={Measuring Ranks via the Complete Laws of Iterated Contraction},
  number={7351},
  issn={1862-4405},
  publisher={Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  address={Dagstuhl},
  series={Dagstuhl Seminar Proceedings},
  booktitle={Formal Models of Belief Change in Rational Agents},
  editor={Bonanno, Giacomo},
  author={Spohn, Wolfgang}
}

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    <dcterms:title>Measuring Ranks via the Complete Laws of Iterated Contraction</dcterms:title>
    <dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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