A measure of risk and a decision-making model based on expected utility and entropy

European Journal of Operational Research

Volumn 164, Issue 3 SPEC. ISS., 2005, Pages 792-799

  Yang, Jiping ^a   Qiu, Wanhua ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Decision analysis; Decision making model; Expected utility entropy measure of risk

Indexed keywords

DECISION THEORY; ENTROPY; FUNCTIONS; MATHEMATICAL MODELS; PROBABILITY; PROBLEM SOLVING; RISK ASSESSMENT; SET THEORY;

DECISION-MAKING MODELS; EXPECTED UTILITY-ENTROPY (EU-E) MEASURE OF RISK; MEAN-VARIANCE CRITERION; RISK TRADEOFF FACTORS;

DECISION MAKING;

EID: 12244276774     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2004.01.031     Document Type: Conference Paper

References (33)

1. Allais M. Le comportement de l'homme rationnel devant le risqué: Critique des postulats et axiomes de l'ecole americaine. Econometrica. 21:1953;503-546
2. Bell D.E. Risk, return, and utility. Management Science. 41:1995;23-30
3. Coombs C.H., Bowen J.N. Additivity of risk in portfolios. Perception and Psychophysics. 10:1971;43-46
4. Coombs C.H., Bowen J.N. A test of VE-theories of risk and the effect of the central limit theorem. Acta Psychologica. 35:1971;15-28
5. Coombs C.H., Huang L.C. Polynomial psychophysics of risk. Journal of Mathematical Psychology. 7:1970;317-338
6. Coombs C.H., Huang L.C. Tests of a portfolio theory of risk preference. Journal of Experimental Psychology. 85:1970;23-29
7. Coombs C.H., Lehner P.E. An evaluation of two alternative models for a theory of risk: Part 1. Journal of Experimental Psychology: Human Perception and Performance. 7:1981;1110-1123
8. Coombs C.H., Lehner P.E. Conjoint design and analysis of the bilinear model: An application to judgments of risk. Journal of Mathematical Psychology. 28:1984;1-42
9. Dyer J.S., Jia J. Relative risk-value models. European Journal of Operational Research. 103:1997;170-185
10. Fishburn P.C. Foundation of risk measurement II. Effects of gains on risk. Journal of Mathematical Psychology. 25:1982;226-242
11. Fishburn P.C. Foundation of risk measurement I. Risk as probable loss. Management Science. 30:1984;396-406
12. Huang, L.C., 1971. The expected risk function, Michigan Mathematical Psychology Program Report 71-6, University of Michigan, Ann Arbor, MI
13. Jia J., Dyer J.S. A standard measure of risk and risk-value models. Management Science. 42:1996;1691-1705
14. Jia J., Dyer J.S., Butler J.C. Measures of perceived risk. Management Science. 45(4):1999;519-532
15. Kahneman D., Tversky A. Prospect theory: An analysis of decision under risk. Econometrica. 47:1979;263-291
16. Levy H. The definition of risk: An extension. Journal of Economic Theory. 14:1977;232-234
17. Levy H. Stochastic dominance and expected utility: Survey and analysis. Management Science. 38(4):1992;555-593
18. Levy H. Stochastic Dominance: Investment Decision Making under Uncertainty. 1998;Kluwer Academic Publishers, Boston
19. Lopes L. Risk and distribution inequality. Journal of Experimental Psychology: Human Perception and Performance. 10(1):1984;465-485
20. Luce R.D. Several possible measures of risk. Theory and Decision. 12:1980;217-228. Correction 13 (1981) 381
21. MacCrimmon K.R., Wehrung D.A. Taking Risks: The Management of Uncertainty. 1986;Free Press, New York
22. Machina M.J. Choice under uncertainty: Problems solved and unsolved. Economic Perspectives. 1(1):1987;121-154
23. Moskowitz H., Bunn D. Decision and risk analysis. European Journal of Operational Research. 28:1987;247-260
24. Moskowitz H., Wallenius J. Preference-order recursion for finding relevant pure, admissible and optimal statistical decision functions. Decision Sciences. 21(3):1990;521-532
25. Payne J.W. Relation of perceived risk to preferences among gambles. Journal of Experimental Psychology: Human Perception and Performance. 104:1975;86-94
26. Rothschild M., Stiglitz J.E. Increasing risk I: A definition. Journal of Economic Theory. 2:1970;225-243
27. Rothschild M., Stiglitz J.E. Increasing risk II: Its economic consequences. Journal of Economic Theory. 3:1971;66-84
28. Sarin R.K., Weber M. Risk-value models. European Journal of Operational Research. 70:1993;135-149
29. Savage L.J. Foundations of Statistics. 1954;Wiley, New York
30. Shannon C.E. A Mathematical Theory of Communication. Bell System Technical Journal. 27:1948;379-423
31. Slovic P. The relative influence of probabilities and payoffs upon perceived risk of gamble. Psychonomic Science. 9:1967;223-224
32. von Neumann J., Morgenstern O. The Theory of Games and Economic Behavior. 1944;Princeton University Press, Princeton, NJ
33. Weber E.U. Combine and conquer: A joint application of conjoint and function approaches to the problem of risk measurement. Journal of Experimental Psychology: Human Perception and Performance. 10:1984;179-194