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Additive Representability of Finite Measurement Structures

In: The Mathematics of Preference, Choice and Order

Author

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  • Arkadii Slinko

    (University of Auckland)

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.

Suggested Citation

  • Arkadii Slinko, 2009. "Additive Representability of Finite Measurement Structures," Studies in Choice and Welfare, in: Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), The Mathematics of Preference, Choice and Order, pages 113-133, Springer.
    • Handle: RePEc:spr:stcchp:978-3-540-79128-7_7
    DOI: 10.1007/978-3-540-79128-7_7
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    Cited by:

    1. Gvozdeva, Tatiana & Slinko, Arkadii, 2011. "Weighted and roughly weighted simple games," Mathematical Social Sciences, Elsevier, vol. 61(1), pages 20-30, January.

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