A functional equation arising from ranked additive and separable utility

DOI10.1090/S0002-9939-00-05686-0zbMath0967.39007MaRDI QIDQ2701614

Gyula Maksa, Che Tat Ng, János Aczél, Zsolt Páles

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

functional-differential equationconvexityutility theoryPexider type functional equationbinary gamblestrictly monotonic solutions

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Measurement theory in the social and behavioral sciences (91C05) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Systems of functional equations and inequalities (39B72) Utility theory for games (91A30)

Related Items (3)

Utility of gambling when events are valued: An application of inset entropy ⋮ Monotonic solutions of a functional equation arising from simultaneous utility representations ⋮ On a functional equation arising from comparison of utility representations

Cites Work

• On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)
• Coalescing, event commutativity, and theories of utility
• Solution of a functional equation arising from utility that is both separable and additive
• Solution of a functional equation arising in an axiomatization of the utility of binary gambles
• Separable and additive representations of binary gambles of gains.
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