Reconciliation with the utility of chance by elaborated outcomes destroys the axiomatic basis of expected utility theory

Authors
Citation
R. Pope, Reconciliation with the utility of chance by elaborated outcomes destroys the axiomatic basis of expected utility theory, THEOR DECIS, 49(3), 2000, pp. 223-234
Citations number
24
Categorie Soggetti
Economics
Journal title
THEORY AND DECISION
ISSN journal
00405833 → ACNP
Volume
49
Issue
3
Year of publication
2000
Pages
223 - 234
Database
ISI
SICI code
0040-5833(200011)49:3<223:RWTUOC>2.0.ZU;2-G
Abstract
Expected utility theory does not directly deal with the utility of chance. It has been suggested in the literature (Samuelson, 1952, Markowitz, 1959) that this can be remedied by an approach which explicitly models the emotio nal consequences which give rise to the utility of chance. We refer to this as the elaborated outcomes approach. It is argued that the elaborated outc omes approach destroys the possibility of deriving a representation theorem based on the usual axioms of expected utility theory. This is shown with t he help of an example due to Markowitz. It turns out that the space of conc eivable lotteries over elaborated outcomes is too narrow to permit the appl ication of the axioms. Moreover it is shown that a representation theorem d oes not hold for the example.