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Group Decision and Negotiation

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01-01-2015

Multidimensional Theoretic Consensus Reachability: The Impact of Distance Selection and Issue Saliences

Published in: Group Decision and Negotiation | Issue 1/2015

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Abstract

This article addresses the estimation of consensus positions in multidimensional coalition formation models. In search of consistency in the model assumptions and inspired by location theory, three types of consensus positions are considered all obtained by minimising a weighted sum of distances to the parties’ ideal policy positions, using respectively the squared Euclidean, Euclidean and rectangular distance functions. Particular attention is payed to inclusion of issue saliences, representing the parties’ policy priorities. Properties, uniqueness and calculation of the corresponding consensus positions are discussed. We investigate in particular the range of consensus positions reachable by each model when saliences are varied.

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Several proposals exist for defining also a decrease step starting from some non-optimal ideal position (see e.g. Plastria (2011b)), but in practice these do not seem to be necessary.

The reader should note that this assumption of separability is related, but not identical to the separable saliences we mentioned earlier. Here we are concerned with the differences in position, not the relative importance of the issue dimensions.

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Title: Multidimensional Theoretic Consensus Reachability: The Impact of Distance Selection and Issue Saliences
Publication date: 01-01-2015
Published in: Group Decision and Negotiation / Issue 1/2015
Print ISSN: 0926-2644
Electronic ISSN: 1572-9907
DOI: https://doi.org/10.1007/s10726-014-9378-6

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