TY - JOUR
T1 - Median-based extensions of an ordering over a set to the power set
T2 - An axiomatic characterization
AU - Nitzan, Shmuel I.
AU - Pattanaik, Prasanta K.
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1984/12
Y1 - 1984/12
N2 - In this paper we consider the problem of inducing an ordering over the set of all non-empty subsets of a finite set X of alternatives, given an ordering R over X. Assuming R to be antisymmetric and X to have at least six elements, we provide a set of independent, necessary, and sufficient conditions for the induced ordering to be "median-based" (so that every non-empty subset of X is "indifferent" to its own median set defined in terms of R).
AB - In this paper we consider the problem of inducing an ordering over the set of all non-empty subsets of a finite set X of alternatives, given an ordering R over X. Assuming R to be antisymmetric and X to have at least six elements, we provide a set of independent, necessary, and sufficient conditions for the induced ordering to be "median-based" (so that every non-empty subset of X is "indifferent" to its own median set defined in terms of R).
UR - http://www.scopus.com/inward/record.url?scp=0001110331&partnerID=8YFLogxK
U2 - 10.1016/0022-0531(84)90143-1
DO - 10.1016/0022-0531(84)90143-1
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SN - 0022-0531
VL - 34
SP - 252
EP - 261
JO - Journal of Economic Theory
JF - Journal of Economic Theory
IS - 2
ER -