On uncertainty problems in decision-making. (English. Russian original) Zbl 1152.91406
Cybern. Syst. Anal. 44, No. 2, 247-249 (2008); translation from Kibern. Sist. Anal. 2008, No. 2, 116-119 (2008).
Summary: The paper continues studying the uncertainty problem based on [V. Labkovskii and the first author, Uncertainty problem in decision-making problems, Naukova Dumka, Kyiv (1990)]. A decision-maker is assumed to have a prevalence relation on the consequences of his actions. The necessary and sufficient existence conditions for uncertainty in a decision-making problem for a nonparametric situation are given.
References:
| [1] | M. de Groot, Optical Statistical Decision, Wiley Classics Library (1970). |
| [2] | V. I. Ivanenko and V. A. Labkovskii, Uncertainty Problem in Decision-Making Problems [in Russian], Naukova Dumka, Kyiv (1990). · Zbl 1123.91307 |
| [3] | V. Ivanenko and B. Munier, ”Decision making in random in a broad sense environments,” Theory and Decision, Kluwer AP, 49, 127–150 (2000). · Zbl 0985.91015 · doi:10.1023/A:1005262832464 |
| [4] | V. Ivanenko and V. Labkobskii, ”Experiment in the general decision problem,” Theory and Decision, 57, 309–330 (2005). · Zbl 1123.91307 · doi:10.1007/s11238-005-3211-2 |
| [5] | R. D. Luce and H. Raiffa, Games and Decisions, Wiley (1957). · Zbl 0084.15704 |
| [6] | P. Fishburn, Utility Theory for Decision Making, John Wiley & Sons, New York (1970). · Zbl 0213.46202 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
