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AI
2008
Springer

The measurement of ranks and the laws of iterated contraction

13 years 3 months ago
The measurement of ranks and the laws of iterated contraction
: Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper shows how to reconstruct a ranking function from its iterated contraction behavior uniquely up to multiplicative constant and thus how to measure ranks on a ratio scale. Thereby, it also shows how to completely axiomatize that behavior. The complete set of laws of iterated contraction it specifies amend the laws hitherto discussed in the literature. Key Words: ranking theory, belief revision theory, difference measurement, contraction, iterated contraction.
Matthias Hild, Wolfgang Spohn
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2008
Where AI
Authors Matthias Hild, Wolfgang Spohn
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