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Infinite supermodularity and preferences

Alain Chateauneuf (), Vassili Vergopoulos () and Jianbo Zhang
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Vassili Vergopoulos: CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics
Jianbo Zhang: Department of economics, University of Kansas - KU - University of Kansas [Lawrence]

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

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)
Date: 2016
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Published in Economic Theory, Springer Verlag, 2016, pp.1-11. ⟨10.1007/s00199-015-0942-3⟩

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Journal Article: Infinite supermodularity and preferences (2017) Downloads
Working Paper: Infinite Supermodularity and Preferences (2015) Downloads
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DOI: 10.1007/s00199-015-0942-3

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