Infinite supermodularity and preferences

Article dans une revue: 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.

Auteur(s)

Alain Chateauneuf, Vassili Vergopoulos, Jianbo Zhang

Revue
  • Economic Theory
Date de publication
  • 2016
Mots-clés JEL
C65 D11 D12
Mots-clés
  • Supermodularity
  • Infinite supermodularity
  • Lattice
Pages
  • 1-11
Version
  • 1