Impatience implication of weakly Paretian orders: Existence and genericity

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 t...

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Veröffentlicht in:Journal of mathematical economics 2013-03, Vol.49 (2), p.134-140
Hauptverfasser: Banerjee, Kuntal, Dubey, Ram Sewak
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0304-4068
1873-1538
DOI:10.1016/j.jmateco.2012.12.003