Szukaj
Wyświetlanie pozycji 21-30 z 52
A couple of functional equations applied to utility theory
(2000)
We show how characterizations of separable and additive representations of rank-dependent expected utility and of rank-
independent expected utility lead to the functional equation
f(v) = f(vw) + f(g-1[g(v)q(w)]) (v ϵ ...
An alternative Cauchy equation almost everywhere
(2000)
Let (S, +) be a commutative semigroup and let ζ be a proper left translation invariant σ-ideal in S. Suppose that f : S → R satisfies
|f(x + y)| = |f(x) + f(y)| Ω(ζ)-almost everywhere in S x S.
We prove that there exists, ...