THE EXISTENCE OF A MAJORITY RULE MAXIMAL SET IN ARBITRARY n-DIMENSIONAL SPATIAL MODELS

We examine the effect of indifference on the existence of a majority rule maximal set. In our setting, it is shown in all but a limited number of cases that the maximal set is empty in an n-dimensional spatial model if and only if the Pareto set contains a union of cycles. The elements that constitute the exception are completely characterized.

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Year of publication:	2010
Authors:	MORDESON, JOHN N. ; CLARK, TERRY D.
Published in:	New Mathematics and Natural Computation (NMNC). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7027. - Vol. 06.2010, 03, p. 261-274
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Spatial model \| maximal set \| cycle \| fuzzy subset \| Pareto set \| lattice \| partial order

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Extent:	application/pdf text/html
Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10008642008