Abstract
The paper proposes a model of subjective expected utility with respect to the additive probability measure whose formalism is based on the formally logical principles of optimality, unlike the Anscombe–Aumann SEU model defined in behavioristic traditions.
Similar content being viewed by others
References
F. J. Anscombe and R. J. Aumann, “A definition of subjective probability,” The Annals of Mathematics and Statistics, 34, 199–205 (1963).
V. M. Mikhalevich, “Some classes of preference choice rules for decision-making problems,” Cybern. Syst. Analysis, 46, No. 6, 986–997 (2010).
V. I. Ivanenko and V. A. Labkovskii, Uncertainty Problem in Decision Making Problems [in Russian], Naukova Dumka, Kyiv (1990).
M. De Groot, Optimal Statistical Decision, Wiley Classics Library (1970).
V. M. Mikhalevich, “Parametric decision problems with financial losses,” Cybern. Syst. Analysis, 47, No. 2, 286–295 (2011).
V. M. Mikhalevich, “To parametric decision problems with money income,” Cybern. Syst. Analysis, 47, No. 5, 812–817 (2011).
A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow (1981).
K. Leichtweiss, Convex Sets [Russian translation], Nauka, Moscow (1985).
N. Dunford and J. T. Schwartz, Linear Operators: General Theory, Pure and Appl. Math., Vol. 7, Interscience, New York (1958).
P. Fishburn, Utility Theory for Decision Making, John Wiley&Sons, New York (1970).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2012, pp. 85–95.
Rights and permissions
About this article
Cite this article
Mikhalevich, V.M. Decision-making problems with money incomes (losses) based on the combination of the principles of guaranteed and best results. Cybern Syst Anal 48, 881–889 (2012). https://doi.org/10.1007/s10559-012-9468-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10559-012-9468-x