TY - JOUR
T1 - Min, max, and sum
AU - Segal, Uzi
AU - Sobel, Joel
N1 - Funding Information:
1Uzi Segal thanks SSHRCC and Joel Sobel thanks NSF and CASBS for financial support.
PY - 2002/9/1
Y1 - 2002/9/1
N2 - This paper provides characterization theorems for preferences that can be represented by U(x1,...,xn) = min {xk}, U(x1,...,xn) = max{xk}, U(x1,...,xn) = ∑ u(xk), or combinations of these functionals. The main assumption is partial separability, where changing a common component of two vectors does not reverse strict preferences, but may turn strict preferences into indifference. We discuss applications of our results to social choice. Journal of Economic Literature Classification Numbers: C0, D1, D6.
AB - This paper provides characterization theorems for preferences that can be represented by U(x1,...,xn) = min {xk}, U(x1,...,xn) = max{xk}, U(x1,...,xn) = ∑ u(xk), or combinations of these functionals. The main assumption is partial separability, where changing a common component of two vectors does not reverse strict preferences, but may turn strict preferences into indifference. We discuss applications of our results to social choice. Journal of Economic Literature Classification Numbers: C0, D1, D6.
UR - http://www.scopus.com/inward/record.url?scp=0036748373&partnerID=8YFLogxK
U2 - 10.1006/jeth.2001.2859
DO - 10.1006/jeth.2001.2859
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AN - SCOPUS:0036748373
VL - 106
SP - 126
EP - 150
JO - Journal of Economic Theory
JF - Journal of Economic Theory
SN - 0022-0531
IS - 1
ER -