Solutions to three functional equations arising from different ways of measuring utility

Journal of Mathematical Analysis and Applications

Volumn 204, Issue 2, 1996, Pages 451-471

  Aczél, János ^a,d   Luce, R Duncan ^b   Maksa, Gyula ^c  

^a UNIVERSITY OF WATERLOO   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF DEBRECEN   (Hungary)

^d NONE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030524941     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0448     Document Type: Article

References (8)

1. 1. J. Aczél, "A Short Course on Functional Equations Based upon Recent Applications to the Social and Behavioral Sciences," Reidel/Kluwer Academic, Dordrecht, 1987.
2. 2. Z. Daróczy and L. Losonczi, Über die Erweiterung der auf einer Punktmenge additiven Funktionen, Publ. Math. Debrecen 14 (1967), 239-245.
3. 3. D. H. Krantz, R. D. Luce, P. Suppes, and A. Tversky, "Foundations of Measurement," Vol. I, Academic Press, New York, 1971.
4. 4. R. D. Luce, When four distinct ways to measure utility are the same, J. Math. Psych., in press.
5. 5. R. D. Luce and P. C. Fishburn, Rank-and sign-dependent linear utility models for finite first-order gambles, J. Risk Uncertainty 4 (1991), 29-59.
6. 6. R. D. Luce and P. C. Fishburn, A note on deriving rank-dependent utility using additive joint receipts, J. Risk Uncertainty 11 (1995), 5-16.
7. 7. F. Radó and J. A. Baker, Pexider's equation and aggregation of allocations, Aequationes Math. 32 (1987), 227-239.
8. 8. A. Tversky and D. Kahneman, Advances in prospect theory: Cumulative representation of uncertainty, J. Risk Uncertainty 5 (1992), 204-217.