The plurality strategy on graphs

The Majority Strategy for finding medians of a set of clients on a graph can be relaxed in the following way: if we are at v, then we move to a neighbor w if there are at least as many clients closer to w than to v (thus ignoring the clients at equal distance from v and w). The graphs on which this Plurality Strategy always finds the set of all medians are precisely those for which the set of medians induces always a connected subgraph.

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Year of publication:	2006-09-15
Authors:	Balakrishnan, K. ; Changat, M. ; Mulder, H.M.
Institutions:	Erasmus University Rotterdam, Econometric Institute
Subject:	plurality strategy \| median \| consensus function \| median graph \| majority rule

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Extent:	application/pdf
Series:	Econometric Institute Report. - ISSN 1566-7294.
Type of publication:	Book / Working Paper
Notes:	The text is part of a series RePEc:dgr:eureir Number EI 2006-35
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005450899