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Impatience implication of weakly Paretian orders: Existence and genericity
Authors:Kuntal Banerjee  Ram Sewak Dubey
Institution:1. Department of Economics, College of Business, Florida Atlantic University, Boca Raton, FL, 33431, United States;2. Department of Economics and Finance, Montclair State University, Montclair, NJ, 07043, United States
Abstract: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.
Keywords:Impatience condition  Weak Pareto  Sensitivity conditions  Genericity  Order types  Uncountable sets
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