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

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