Title
A note on Wakker's Cardinal Coordinate Independence
Abstract
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.
Year
DOI
Venue
2004
10.1016/j.mathsocsci.2004.01.001
Mathematical Social Sciences
Keywords
DocType
Volume
Decision under uncertainty,Cardinal Coordinate Independence,Nontransitive preferences
Journal
48
Issue
ISSN
Citations 
1
0165-4896
2
PageRank 
References 
Authors
0.42
2
2
Name
Order
Citations
PageRank
Denis Bouyssou132232.89
Marc Pirlot233339.10