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Infinite supermodularity and preferences

Alain Chateauneuf (), Vassili Vergopoulos and Jianbo Zhang ()
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Vassili Vergopoulos: Paris School of Economics and University of Paris I
Jianbo Zhang: University of Kansas

Economic Theory, 2017, vol. 63, issue 1, 99-109

Abstract: Abstract 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.

Keywords: Supermodularity; Infinite supermodularity; Lattice (search for similar items in EconPapers)
JEL-codes: D11 D12 C65 (search for similar items in EconPapers)
Date: 2017
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Working Paper: Infinite supermodularity and preferences (2016)
Working Paper: Infinite Supermodularity and Preferences (2015) Downloads
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