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Infinite Supermodularity and Preferences

Alain Chateauneuf, Vassili Vergopoulos and Jianbo Zhang
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Alain Chateauneuf: IPAG Business School, Paris School of Economics and University of Paris I;
Vassili Vergopoulos: Paris School of Economics and University of Paris I;
Jianbo Zhang: Department of Economics, The University of Kansas;

No 201505, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS from University of Kansas, Department of Economics

Abstract: Chambers and Echenique (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 nite lattices fail to disentangle in nite 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: 2015-10, Revised 2015-10
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Persistent link: http://EconPapers.repec.org/RePEc:kan:wpaper:201505

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