SUBJECTIVE EXPECTED LEXICOGRAPHIC UTILITY WITH INFINITE STATE SETS

Citation
Pc. Fishburn et Ih. Lavalle, SUBJECTIVE EXPECTED LEXICOGRAPHIC UTILITY WITH INFINITE STATE SETS, Journal of mathematical economics, 30(3), 1998, pp. 323-346
Citations number
21
Categorie Soggetti
Social Sciences, Mathematical Methods",Economics,Mathematics,Mathematics
ISSN journal
03044068
Volume
30
Issue
3
Year of publication
1998
Pages
323 - 346
Database
ISI
SICI code
0304-4068(1998)30:3<323:SELUWI>2.0.ZU;2-O
Abstract
This paper extends a theory of subjective expected lexicographic utili ty for decision under uncertainty with finite state sets to an infinit e state set S. Prior axioms yield a lexicographic utility representati on with matrix probabilities for preferences between mixtures of acts that are constant on finite partitions of S. Two new axioms extend the lexicographic expectation representation to mixtures of all acts. (C) 1998 Elsevier Science S.A. All rights reserved.