Infinite supermodularity and preferences

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• 作者：Alain Chateauneuf ; Vassili Vergopoulos ; Jianbo Zhang
• 关键词：Supermodularity ; Infinite supermodularity ; Lattice
• 刊名：Economic Theory
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：63
• 期：1
• 页码：99-109
• 全文大小：
• 刊物类别：Business and Economics
• 刊物主题：Economic Theory/Quantitative Economics/Mathematical Methods; Game Theory, Economics, Social and Behav. Sciences; Microeconomics; Public Finance;
• 出版者：Springer Berlin Heidelberg
• ISSN：1432-0479
• 卷排序：63

文摘

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.