TY - JOUR
T1 - On the representation and construction of equitable social welfare orders
AU - Dubey, Ram Sewak
AU - Laguzzi, Giorgio
AU - Ruscitti, Francesco
N1 - Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/9
Y1 - 2020/9
N2 - This paper examines the representation and explicit description of social welfare orders on infinite utility streams. It is assumed that the social welfare orders under investigation satisfy upper asymptotic Pareto and anonymity axioms. We prove that there exists no real-valued representation of such social welfare orders. In addition, we establish that the existence of a social welfare order satisfying the anonymity and upper asymptotic Pareto axioms implies the existence of a non-Ramsey set, which is a non-constructive object. Thus, we conclude that the social welfare orders under study do not admit explicit description.
AB - This paper examines the representation and explicit description of social welfare orders on infinite utility streams. It is assumed that the social welfare orders under investigation satisfy upper asymptotic Pareto and anonymity axioms. We prove that there exists no real-valued representation of such social welfare orders. In addition, we establish that the existence of a social welfare order satisfying the anonymity and upper asymptotic Pareto axioms implies the existence of a non-Ramsey set, which is a non-constructive object. Thus, we conclude that the social welfare orders under study do not admit explicit description.
KW - Anonymity
KW - Non-Ramsey set
KW - Social welfare function
KW - Social welfare order
KW - Upper asymptotic pareto
UR - http://www.scopus.com/inward/record.url?scp=85089007703&partnerID=8YFLogxK
U2 - 10.1016/j.mathsocsci.2020.07.003
DO - 10.1016/j.mathsocsci.2020.07.003
M3 - Article
AN - SCOPUS:85089007703
SN - 0165-4896
VL - 107
SP - 17
EP - 22
JO - Mathematical Social Sciences
JF - Mathematical Social Sciences
ER -