Article (Journal/Review)
Strictly monotonic preferences on continuum of goods commodity spaces
Fecha
2010-09-20Registro en:
0164-0704 / 1873-152X
10.1016/j.jmateco.2009.10.003
000285224700008
Herves-Beloso, Carlos/0000-0002-4849-4033
Herves-Beloso, Carlos/H-8410-2015
Autor
Herves-Beloso, C.
Monteiro, P. K.
Institución
Resumen
We consider a set K of differentiated commodities. A preference relation on the set of consumption plans is strictly monotonic whenever to consume more of at least one commodity is more preferred. It is an easy task to find examples of strictly monotonic preference relations when K is finite or countable. However, it is not easy for spaces like l(infinity)-([0, 1]). the space of bounded functions on the unit interval. In this note we investigate the roots of this difficulty. We show that strictly monotonic preferences always exist. However, if K is uncountable no such preference on l(infinity)(K) is continuous and none of them have a utility representation. (C) 2009 Elsevier B.V. All rights reserved.