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A general axiomatization of additive measurement with applications

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  • Peter C. Fishbur

Abstract

Necessary and sufficient conditions are specified for a general theory of additive measurement that presumes very little set‐theoretic structure. The theory is illustrated for numerical representations in extensive, conjoint, difference, threshold, expected utility, probability, ambiguity, and subset measurement. © 1992 John Wiley & Sons, Inc.

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  • Peter C. Fishbur, 1992. "A general axiomatization of additive measurement with applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 741-755, October.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:6:p:741-755
    DOI: 10.1002/1520-6750(199210)39:63.0.CO;2-2
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    References listed on IDEAS

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    1. Vind, Karl, 1991. "Independent preferences," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 119-135.
    2. Fishburn, Peter C., 1990. "Continuous nontransitive additive conjoint measurement," Mathematical Social Sciences, Elsevier, vol. 20(2), pages 165-193, October.
    3. Chateauneuf, Alain, 1985. "On the existence of a probability measure compatible with a total preorder on a Boolean algebra," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 43-52, February.
    4. Loomes, Graham & Sugden, Robert, 1987. "Some implications of a more general form of regret theory," Journal of Economic Theory, Elsevier, vol. 41(2), pages 270-287, April.
    5. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    6. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    7. Peter H. Farquhar & Vithala R. Rao, 1976. "A Balance Model for Evaluating Subsets of Multiattributed Items," Management Science, INFORMS, vol. 22(5), pages 528-539, January.
    8. Fuhrken, G & Richter, M K, 1991. "Polynomial Utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(3), pages 231-249, July.
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    Cited by:

    1. Schmitt, Rebecca, 2015. "Bridging the Attitude-Preference-Gap: A Cognitive Approach To Preference Formation," MPRA Paper 68480, University Library of Munich, Germany.
    2. Traeger, Christian P., 2010. "Subjective Risk, Confidence, and Ambiguity," CUDARE Working Papers 90461, University of California, Berkeley, Department of Agricultural and Resource Economics.

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