Strictly monotonic preferences on continuum of goods commodity spaces

B-Tier
Journal: Journal of Mathematical Economics
Year: 2010
Volume: 46
Issue: 5
Pages: 725-727

Authors (2)

Hervés-Beloso, C. (not in RePEc) Monteiro, P.K. (Fundação Getúlio Vargas (FGV))

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

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.

Technical Details

RePEc Handle
repec:eee:mateco:v:46:y:2010:i:5:p:725-727
Journal Field
Theory
Author Count
2
Added to Database
2026-01-25