Infinite supermodularity and preferences
Journal article: Chambers and Echenique (J Econ Theory 144:1004–1014, 2009) proved that preferences in a wide class cannot disentangle the usual economic assumptions of quasisupermodularity and supermodularity. This paper further studies the ordinal content of the much stronger assumption of infinite supermodularity in the same context. It is shown that weakly increasing binary relations on finite lattices fail to disentangle infinite supermodularity from quasisupermodularity and supermodularity. Moreover, for a complete preorder, the mild requirement of strict increasingness is shown to imply the existence of infinitely supermodular representations.
Author(s)
Alain Chateauneuf, Vassili Vergopoulos, Jianbo Zhang
Journal
- Economic Theory
Date of publication
- 2016
Keywords JEL
Keywords
- Supermodularity
- Infinite supermodularity
- Lattice
Pages
- 1-11
URL of the HAL notice
Version
- 1