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Asymmetric empirical similarity

Joshua Teitelbaum

Mathematical Social Sciences, 2013, vol. 66, issue 3, 346-351

Abstract: The paper suggests a similarity function for applications of empirical similarity theory in which the notion of similarity is asymmetric. I propose defining similarity in terms of a quasimetric. I suggest a particular quasimetric and explore the properties of the empirical similarity model given this function. The proposed function belongs to the class of quasimetrics induced by skewed norms. Finally, I provide a skewness axiom that, when imposed in lieu of the symmetry axiom in the main result of Billot et al. (2008), characterizes an exponential similarity function based on a skewed norm.

Date: 2013
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DOI: 10.1016/j.mathsocsci.2013.07.005

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