Functional equations in the behavioral sciences (Q2709963)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Functional equations in the behavioral sciences |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional equations in the behavioral sciences |
scientific article |
Statements
18 January 2002
0 references
functional equations
0 references
invariance
0 references
Weber's law and generalizations
0 references
Fechner-Thurstone model
0 references
utility and value functions
0 references
psychophysics
0 references
binary gambles
0 references
bisymmetry functional equation
0 references
bibliography
0 references
Pexider equations
0 references
Cauchy equations
0 references
Functional equations in the behavioral sciences (English)
0 references
The paper contains an interesting exposition of use of functional equations in the behavioral sciences. After the introduction, in Section 2 some basic functional equations (Cauchy, Pexider and invariance equation) are presented with their regular solutions. Section 3 is dedicated to some problems arising in psychophysics and their modelization via functional equations. Section 4 treats utility theory, in particular some problems concerning binary gambles, while the topic presented in the last section of the paper is consistent aggregation, which leads to the generalized bisymmetry functional equation. Solutions to these problems are presented and an ample bibliography guides the reader interested to know in more details the topics touched in the paper.
0 references
