TY - JOUR
T1 - General concepts of value restriction and preference majority
AU - Regenwetter, Michel
AU - Marley, A. A.J.
AU - Grofman, Bernard
PY - 2003/8/1
Y1 - 2003/8/1
N2 - Regenwetter and Grofman offer a probabilistic generalization of Sen's classic value restriction condition when individual preferences are linear orders. They provide necessary and sufficient conditions for transitive majority preferences on linear orders. They call these conditions net value restriction and net preference majority. We study parallel generalizations for general binary relations. In general, neither net value restriction nor net preference majority is necessary for transitive majority preferences. Net value restriction is sufficient for transitive strict majority preferences, but not sufficient for transitive weak majority preferences. Net majority is sufficient for transitive majorities only if the preference relation with a net majority is a weak order. An application of our results to four U.S. National Election Study data sets reveals, in each case, transitive majorities despite a violation of Sen's original value restriction condition.
AB - Regenwetter and Grofman offer a probabilistic generalization of Sen's classic value restriction condition when individual preferences are linear orders. They provide necessary and sufficient conditions for transitive majority preferences on linear orders. They call these conditions net value restriction and net preference majority. We study parallel generalizations for general binary relations. In general, neither net value restriction nor net preference majority is necessary for transitive majority preferences. Net value restriction is sufficient for transitive strict majority preferences, but not sufficient for transitive weak majority preferences. Net majority is sufficient for transitive majorities only if the preference relation with a net majority is a weak order. An application of our results to four U.S. National Election Study data sets reveals, in each case, transitive majorities despite a violation of Sen's original value restriction condition.
UR - http://www.scopus.com/inward/record.url?scp=0042919000&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042919000&partnerID=8YFLogxK
U2 - 10.1007/s00355-003-0210-5
DO - 10.1007/s00355-003-0210-5
M3 - Article
AN - SCOPUS:0042919000
VL - 21
SP - 149
EP - 173
JO - Social Choice and Welfare
JF - Social Choice and Welfare
SN - 0176-1714
IS - 1
ER -