Author | Aczรฉl, J. author |
---|---|
Title | A Short Course on Functional Equations [electronic resource] : Based Upon Recent Applications to the Social and Behavioral Sciences / by J. Aczรฉl |
Imprint | Dordrecht : Springer Netherlands, 1987 |
Connect to | http://dx.doi.org/10.1007/978-94-009-3749-9 |
Descript | 180 p. online resource |
Section 1. An aggregation theorem for allocation problems. Cauchy equation for single- and multiplace functions. Two extension theorems. -- Section 2. Scale-invariant equal sacrifice in taxation. The linear-affine functional equation. Multiplicative and logarithmic functions. -- Section 3. General forms of โlaws of sciencesโ without dimensional constants. The case of the same ratio scale for all variables. Generalized homogeneous functions. Inequality measures. -- Section 4. General forms of โlaws of scienceโ with (partially) independent ratio and interval scales. Multiplace multiplicative and logarithmic functions. Price levels. Endomorphisms of a real field. The exponential equation. Characters. -- Section 5. Pexiderโs equation and its extension. Quasi-extension of Cauchyโs equation. Determination of all generalized Hicks-neutral production functions. -- Section 6. Determination of all Hicks-neutral production functions depending upon capital, labor and time (state of technology). The translation equation. -- Section 7. The associativity equation. Synthesis of ratio judgements. The quasiarithmetic means. The Jensen equations. A conditional linear-affine equation. A characterization of root-mean-powers and of the geometric mean. -- Section 8. Synthesis of measure judgements. Equations in a single variable. The Abel and Schrรถder equations. Iteration. -- References -- Index of names