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Measurable representations of preference orders. (English) Zbl 0523.90020


MSC:

91B16 Utility theory
91B08 Individual preferences

Citations:

Zbl 0358.90008
Full Text: DOI

References:

[1] J. P. Burgess, Classical hierarchies from a modern standpoint, Part I. \( C\)-sets, Fund. Math. (to appear). · Zbl 0515.28002
[2] -, Personal communication, 1981.
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[6] C. Dellacherie, Un cours sur les ensembles analytiques, Analytic Sets, edited by C. A. Rogers et al., Academic Press, New York, 1980.
[7] Arnold M. Faden, Economics of space and time, Iowa State University Press, Ames, Iowa, 1977. The measure-theoretic foundations of social science; With a foreword by Martin J. Beckmann. · Zbl 0414.90003
[8] D. Fremlin, Personal communication, 1981.
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[11] -, Measurable constructions of preference orders, unpublished manuscript.
[12] J. T. Rader, The existence of a utility function to represent preferences, Rev. Econom. Stud. 30 (1963), 229-232.
[13] Jean Saint-Raymond, Boréliens à coupes \?_{\?}, Bull. Soc. Math. France 104 (1976), no. 4, 389 – 400. · Zbl 0369.04005
[14] Steven E. Shreve, Probability measures and the \?-sets of Selivanovskij, Pacific J. Math. 79 (1978), no. 1, 189 – 196. · Zbl 0401.60004
[15] Daniel H. Wagner, Survey of measurable selection theorems, SIAM J. Control Optimization 15 (1977), no. 5, 859 – 903. · Zbl 0407.28006 · doi:10.1137/0315056
[16] Eugene Wesley, Borel preference orders in markets with a continuum of traders, J. Math. Econom. 3 (1976), no. 2, 155 – 165. · Zbl 0358.90008 · doi:10.1016/0304-4068(76)90024-0
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