Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Economics
Impatience Implication Of Weakly Paretian Orders: Existence And Genericity, Kuntal Banerjee, Ram Dubey
Impatience Implication Of Weakly Paretian Orders: Existence And Genericity, Kuntal Banerjee, Ram Dubey
Department of Economics Faculty Scholarship and Creative Works
We study order theoretic and topological implications for impatience of weakly Paretian, representable orders on infinite utility streams. As a departure from the traditional literature, we do not make any continuity assumptions in proving the existence of impatient points. Impatience is robust in the sense that there are uncountably many impatient points. A general statement about genericity of impatience cannot be made for representable, weakly Paretian orders. This is shown by means of an example. If we assume a stronger sensitivity condition, then genericity obtains.
Fleurbaey-Michel Conjecture On Equitable Weak Paretian Social Welfare Order, Ram Dubey
Fleurbaey-Michel Conjecture On Equitable Weak Paretian Social Welfare Order, Ram Dubey
Department of Economics Faculty Scholarship and Creative Works
The paper examines the problem of explicit description of a social welfare order over infinite utility streams, which respects anonymity and weak Pareto axioms. It provides a complete characterization of the domains of one period utilities, for which it is possible to explicitly describe a weak Paretian social welfare order satisfying the anonymity axiom. For domains containing any set of order type similar to the set of positive and negative integers, every equitable social welfare order satisfying the weak Pareto axiom is non-constructive. The paper resolves a conjecture by Fleurbaey and Michel (2003) that there exists no explicit (that is, …