In this paper, we completely describe those Cauchy-differences that can also be written as a quasisum, i.e., we solve the functional equation f(x) + f(y) - f(x + y) = a(b(x) + b(y)) under strict monotonicity assumptions on the unknown functions a, b. As an application of the result obtained, we solve a functional equation arising in utility theory. Cauchy-difference, quasisum.
|Number of pages||18|
|Publication status||Published - Dec 1 2004|
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