A note on the extension of a binary relation on a set to the power set

This paper is concerned with the problem of extending an antisymmetric binary relation on a set to a linear order on the power set. A necessary and sufficient condition is offered.

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Year of publication:	2012
Authors:	Cato, Susumu
Published in:	Economics Letters. - Elsevier, ISSN 0165-1765. - Vol. 116.2012, 1, p. 46-48
Publisher:	Elsevier
Subject:	Extension theorem \| Power set \| Suzumura consistency \| Strategy-proofness

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Type of publication:	Article
Classification:	C65 - Miscellaneous Mathematical Tools ; D60 - Welfare Economics. General ; D78 - Positive Analysis of Policy-Making and Implementation ; D82 - Asymmetric and Private Information
Source:	RePEc - Research Papers in Economics

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