Asymmetric Empirical Similarity
Joshua C. Teitelbaum
Georgetown University Law Center
July 19, 2013
Mathematical Social Sciences, Vol. 66, No. 3, pp. 346-351, 2013
Georgetown Public Law Research Paper No. 13-003
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.
Number of Pages in PDF File: 18
Keywords: asymmetric distance, empirical similarity, quasimetric, skewed norm
JEL Classification: C44, D01, D80
Date posted: January 22, 2013 ; Last revised: December 7, 2013
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