'Additive difference' models without additivity or subtractivity
Pirlot, Marc; Bouyssou, Denis (2004), 'Additive difference' models without additivity or subtractivity, Journal of Mathematical Psychology, 48, 4, p. 263-291. http://dx.doi.org/10.1016/j.jmp.2004.04.002
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Psychology
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Abstract (EN)This paper studies conjoint measurement models tolerating intransitivities that closely resemble Tversky's additive difference model while replacing additivity and subtractivity by mere decomposability requirements. We offer a complete axiomatic characterisation of these models without having recourse to unnecessary structural assumptions on the set of objects. This shows the pure consequences of several cancellation conditions that have often been used in the analysis of more traditional conjoint measurement models. Our models contain as particular cases many aggregation rules that have been proposed in the literature.
Subjects / KeywordsCancellation conditions; Additive difference model; Nontransitive preferences; Conjoint measurement
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