Abstract
This paper gives a formalization of the relation between the Debreu’s value function and the Von Neumann’s utility function, with a generalization of this result for their respective vectorial functions. Finally the problem of incorporating complementary information is consisdered.
Similar content being viewed by others
Referencias
AUMANN, R.J. (1964). Subjective Programming. En Human Judgments and Optimality. M.W. Shelly y G.L. Bryan eds. Wiley, New York.
DEGROOT, M.H. (1970). Optimal Statistical Decisions. McGraw-Hill, New York.
DINKELBACH, W. y H. ISERMAN (1973). On Decision Making under Multiple Criteria and under Incomplete Information. En Multiple Criteria Decision Making. J.L. Cochrane y M. Zeleny eds. University of South Carolina Press, Columbia.
FISCHER, G.W. (1975). Experimental Applications of Multiattribute Utility, Probability and Human Decision Making. Wend y Vleck eds. Reidel Publishing Co. Dorchecht-Holland.
FISHBURN, P.C. (1970). Utility Theory for Decision Making, Wiley, New York.
GIRON, F.J. (1979). Probabilidad y Utilidad: Conceptos Duales de la Teoría de la Decisión. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, Tomo LXXIII, C. 20. Madrid.
KEENEY, R.L. y H. RAIFFA (1976). Decision with Multiple Objectives: Preferences and Value Trade offs. Wiley, New York.
KRANTZ, D.H., LUCE, R.D., SUPPES P. y TVERSKY, A. (1971). Foundations of Measuremen. Vol. I, Academic Press, New York.
MONTGOLFIER, J. y J. TERGNY ({dy1971}). Les Decisions Partiallement Rationalisables. METRA, Vol. X. n0 2.
RAIFFA, H. y R. SCHLAIFER (1961). Applied Statistical Decision Theory. Harvard Business School, Boston.
RAIFFA, H. (1968). Decision Analisys. Addison-Wesley Publishing Co., Mass.
RAIFFA, H. (1969) Preferences for Multiattributed Alternatives. Memorandum-5868-DOT/RC. The Rand Corporation Santa Mónica, California.
RIOS, S. (1976). Análisis de Decisiones, ICE, Madrid.
RIOS-INSUA, S. (1980). Decisiones Multicriterio con Ordenaciones Parciales. Tesis Doctoral, Madrid.
VON NEUMANN, J. y O. MORGENSTERN, (1947). Theory of Games and Economic Behavior, 2a ed. Princeton University Press, Princeton.
VON WINTERFELDT, D. y G.W. FISCHER (1975). Multi-Attribute Utility Theory: Models and Assessment Procedures. En Utility, Probability and Human Decision Making Wendt y Vlek eds. Reidel Publishing Co., Dordrecht-Holland.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ríos-Insua, S. Decisiones en incertidumbre con multiatributos. Trabajos de Estadistica Y de Investigacion Operativa 33, 47–63 (1982). https://doi.org/10.1007/BF02888622
Issue Date:
DOI: https://doi.org/10.1007/BF02888622