Additive Representability of Finite Measurement Structures
Arkadii Slinko ()
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Arkadii Slinko: University of Auckland
A chapter in The Mathematics of Preference, Choice and Order, 2009, pp 113-133 from Springer
Abstract:
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.
Keywords: Linear Order; Comparative Probability; Mathematical Psychology; Cancellation Condition; Additive Representation (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:stcchp:978-3-540-79128-7_7
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DOI: 10.1007/978-3-540-79128-7_7
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