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A note on Wakker's cardinal coordinate independence

Bouyssou, Denis; Pirlot, Marc (2004), A note on Wakker's cardinal coordinate independence, Mathematical Social Sciences, 48, 1, p. 11-22. http://dx.doi.org/10.1016/j.mathsocsci.2004.01.001

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Type
Article accepté pour publication ou publié
Date
2004
Journal name
Mathematical Social Sciences
Volume
48
Number
1
Publisher
Elsevier
Pages
11-22
Publication identifier
http://dx.doi.org/10.1016/j.mathsocsci.2004.01.001
Metadata
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Author(s)
Bouyssou, Denis cc
Pirlot, Marc
Abstract (EN)
Peter P. Wakker has forcefully shown the importance for decision theory of a condition that he called “Cardinal Coordinate Independence” (CCI). Indeed, when the outcome space is rich, he proved that, for continuous weak orders, this condition fully characterizes the Subjective Expected Utility (SEU) model with a finite number of states. He has furthermore explored in depth how this condition can be weakened in order to arrive at characterizations of Choquet Expected Utility and Cumulative Prospect Theory. This note studies the consequences of this condition in the absence of any transitivity assumption. Complete preference relations satisfying Cardinal Coordinate Independence are shown to be already rather well-behaved. Under a suitable necessary order denseness assumption, they may always be represented using a simple numerical model.
Subjects / Keywords
Nontransitive preferences; Cardinal Coordinate Independence; Decision under uncertainty
JEL
D81 - Criteria for Decision-Making under Risk and Uncertainty

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