ADDITIVE UTILITIES WHEN SOME COMPONENTS ARE SOLVABLE AND OTHERS ARE NOT

Authors
GONZALES C
Citation
C. Gonzales, ADDITIVE UTILITIES WHEN SOME COMPONENTS ARE SOLVABLE AND OTHERS ARE NOT, Journal of mathematical psychology, 40(2), 1996, pp. 141-151
Citations number
13
Categorie Soggetti
Psychologym Experimental","Social Sciences, Mathematical Methods","Mathematical, Methods, Social Sciences
Journal title
Journal of mathematical psychology → ACNP
ISSN journal
00222496
Volume
40
Issue
2
Year of publication
1996
Pages
141 - 151
Database
ISI
SICI code
0022-2496(1996)40:2<141:AUWSCA>2.0.ZU;2-6
Abstract
This paper presents positive and negative results concerning the exist ence of additive utilities on weakly ordered Cartesian products when s ome components are solvable and others are not. The classical theorems involving solvability can be derived when only two or three component s are solvable, depending on wether the second-order cancelation axiom or the independence axiom holds. Counterexamples show that our result s cannot be significantly strengthened. (C) 1996 Academic Press, Inc.