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Independence Properties Vis-À-Vis Several Utility Representations

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  • A. Marley
  • R. Luce

Abstract

A detailed theoretical analysis is presented of what five utility representations – subjective expected utility (SEU), rank-dependent (cumulative or Choquet) utility (RDU), gains decomposition utility (GDU), rank weighted utility (RWU), and a configural-weight model (TAX) that we show to be equivalent to RWU – say about a series of independence properties, many of which were suggested by M. H. Birnbaum and his coauthors. The goal is to clarify what implications to draw about the descriptive aspects of the representations from data concerning these properties. The upshot is a sharp rejection of SEU and RDU and no clear choice between GDU and TAX, but a list of 8 properties is given that should receive more attention to discriminate between the latter two models. Copyright Springer 2005

Suggested Citation

  • A. Marley & R. Luce, 2005. "Independence Properties Vis-À-Vis Several Utility Representations," Theory and Decision, Springer, vol. 58(1), pages 77-143, February.
    • Handle: RePEc:kap:theord:v:58:y:2005:i:1:p:77-143
    DOI: 10.1007/s11238-005-2460-4
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    References listed on IDEAS

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    1. Michael H. Birnbaum, 2005. "Three New Tests of Independence That Differentiate Models of Risky Decision Making," Management Science, INFORMS, vol. 51(9), pages 1346-1358, September.
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    Cited by:

    1. Birnbaum, Michael H. & Gutierrez, Roman J., 2007. "Testing for intransitivity of preferences predicted by a lexicographic semi-order," Organizational Behavior and Human Decision Processes, Elsevier, vol. 104(1), pages 96-112, September.
    2. Laetitia Placido & Olivier L'Haridon, 2008. "An allais paradox for generalized expected utility theories?," Economics Bulletin, AccessEcon, vol. 4(19), pages 1-6.
    3. Mark J. Machina, 2009. "Risk, Ambiguity, and the Rank-Dependence Axioms," American Economic Review, American Economic Association, vol. 99(1), pages 385-392, March.
    4. Birnbaum, Michael H., 2007. "Tests of branch splitting and branch-splitting independence in Allais paradoxes with positive and mixed consequences," Organizational Behavior and Human Decision Processes, Elsevier, vol. 102(2), pages 154-173, March.
    5. Birnbaum, Michael H. & LaCroix, Adam R., 2008. "Dimension integration: Testing models without trade-offs," Organizational Behavior and Human Decision Processes, Elsevier, vol. 105(1), pages 122-133, January.

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