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Partial Ordering of Unpredictable Mobility with Welfare Implications
Author(s) -
BENSHAHAR DANNY,
SULGANIK EYAL
Publication year - 2008
Publication title -
economica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.532
H-Index - 65
eISSN - 1468-0335
pISSN - 0013-0427
DOI - 10.1111/j.1468-0335.2007.00636.x
Subject(s) - class (philosophy) , ranking (information retrieval) , set (abstract data type) , welfare , partially ordered set , mathematics , degree (music) , mathematical economics , combinatorics , computer science , economics , physics , artificial intelligence , acoustics , market economy , programming language
We propose a partial ordering of ‘unpredictable mobility’ in the spirit of Blackwell's ordering of information structures. The proposed ordering ranks mobility matrices according to the degree to which elements in a given set are likely to move from one state to another, independently of their origin . Furthermore, for an important class of transition structures, our proposed ordering implies ordering, thus carrying significant welfare implications. Moreover, whenever it exists, our partial ordering functions as a sufficient condition for a class of renowned mobility measures and thereby generates, for a subset of transition matrices, unanimous ranking among mobility indices that are not generally consistent with one another.