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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Additive Representability of Finite Measurement Structures
verfasst von : Arkadii Slinko
Erschienen in: The Mathematics of Preference, Choice and Order
Verlag: Springer Berlin Heidelberg
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The theory of additive conjoint measurement takes its roots in the papers by Debreu, (1960) and Luce and Tukey (1964). It is presented in books (Pfanzagl (1968); Fishburn (1970); Krantz, Luce, Suppes, & Tversky, 1971; Luce, Krantz, Suppes, & Tversky, 1998; Suppes, Krantz, Luce, & Tversky, 1988; Roberts, 1979; Narens, 1985) and excellent surveys, of which Fishburn's survey (1999) is the most recent. The goal of the present paper is twofold: we would like to describe some recent developments that took place after Fishburn's survey was published, and to attract attention to several questions posed by Fishburn that remain unanswered.