Measuring Ranks via the Complete Laws of Iterated Contraction

Author Wolfgang Spohn

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Wolfgang Spohn

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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)


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.
  • Ranking theory
  • iterated contraction
  • measurement theory


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