TY - JOUR
T1 - Impatience implication of weakly Paretian orders
T2 - Existence and genericity
AU - Banerjee, Kuntal
AU - Dubey, Ram Sewak
PY - 2013/3
Y1 - 2013/3
N2 - 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.
AB - 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.
KW - Genericity
KW - Impatience condition
KW - Order types
KW - Sensitivity conditions
KW - Uncountable sets
KW - Weak Pareto
UR - http://www.scopus.com/inward/record.url?scp=84875106968&partnerID=8YFLogxK
U2 - 10.1016/j.jmateco.2012.12.003
DO - 10.1016/j.jmateco.2012.12.003
M3 - Article
AN - SCOPUS:84875106968
SN - 0304-4068
VL - 49
SP - 134
EP - 140
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
IS - 2
ER -