Risk and Distributional Inequality.

Abstract : A distributional model of risk is described in which it is hypothesized that people's judgments of risk are similar to the kinds of judgments made in welfare economics concerning inequality of income distributions. The role played by the Lorenz curve in analyzing inequality is described and it is shown how Lorenz curves can be used to describe risks. Two hypotheses are presented concerning risk: first, that representing risks with Lorenz curves will be useful in capturing the salient psychological features of risk, and second, that people's judgments of positive risks will be similar functionally to judgments of distributional inequality. Six experiments are presented that support the distributional model of risk for both preference judgments and judgments of riskiness. The implications of these experiments are described and the distributional model is compared with alternative models of risk.

[1]  Paul E. Lehner,et al.  Conjoint Design and Analysis of the Bilinear Model: An Application to Judgments of Risk , 1984 .

[2]  P. Schoemaker.  The Expected Utility Model: Its Variants, Purposes, Evidence and Limitations , 1982 .

[3]  D. M. Holthausen,et al.  A Risk-Return Model with Risk and Return Measured as Deviations from a Target Return , 1981 .

[4]  Paul E. Lehner,et al.  Evaluation of two alternative models for a theory of risk: I. Are moments of distributions useful in assessing risk? , 1981 .

[5]  R. Duncan Luce,et al.  Several possible measures of risk , 1980 .

[6]  P. Schoemaker,et al.  Prospect theory's reflection hypothesis: A critical examination , 1980 .

[7]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[8]  M. Allais.  The Foundations of a Positive Theory of Choice Involving Risk and a Criticism of the Postulates and Axioms of the American School (1952) , 1979 .

[9]  P. Fishburn.  Mean-Risk Analysis with Risk Associated with Below-Target Returns , 1977 .

[10]  Anthony B. Atkinson,et al.  The Economics of Inequality , 1988 .

[11]  C. Coombs.  3 – PORTFOLIO THEORY AND THE MEASUREMENT OF RISK , 1975 .

[12]  H. Kunreuther,et al.  Safety-First, Gambling, and the Subsistence Farmer , 1974 .

[13]  John W. Payne,et al.  Alternative approaches to decision making under risk: Moments versus risk dimensions. , 1973 .

[14]  John W. Payne,et al.  Preferences among gambles with equal underlying distributions , 1971 .

[15]  Clyde H. Coombs,et al.  A test of ve-theories of risk and the effect of the central limit theorem , 1971 .

[16]  Alexander Pollatsek,et al.  A theory of risk , 1970 .

[17]  A. Atkinson.  On the measurement of inequality , 1970 .

[18]  Clyde H. Coombs,et al.  Tests of a portfolio theory of risk preference , 1970 .

[19]  Clyde H. Coombs,et al.  Polynomial psychophysics of risk , 1970 .

[20]  P. Slovic,et al.  Relative importance of probabilities and payoffs in risk taking , 1968 .

[21]  S. Lichtenstein,et al.  BASES FOR PREFERENCES AMONG THREE-OUTCOME BETS. , 1965, Journal of experimental psychology.

[22]  D. Ellsberg.  Decision, probability, and utility: Risk, ambiguity, and the Savage axioms , 1961 .

[23]  W. Edwards.  Behavioral decision theory. , 1961, Annual review of psychology.

[24]  Clyde H. Coombs,et al.  Components of risk in decision making: Probability and variance preferences. , 1960 .

[25]  A. Stuart,et al.  Portfolio Selection: Efficient Diversification of Investments , 1959 .

[26]  P. Suppes,et al.  Decision making : an experimental approach , 1959 .

[27]  W. Edwards,et al.  Variance preferences in gambling. , 1954, The American journal of psychology.

[28]  W. Edwards.  The theory of decision making. , 1954, Psychological bulletin.

[29]  W. Edwards.  Probability-preferences among bets with differing expected values. , 1954, The American journal of psychology.

[30]  W. Edwards.  The reliability of probability-preferences. , 1954, The American journal of psychology.

[31]  D. Bernoulli.  Exposition of a New Theory on the Measurement of Risk , 1954 .

[32]  John C. Harsanyi,et al.  Cardinal Utility in Welfare Economics and in the Theory of Risk-taking , 1953, Journal of Political Economy.

[33]  W. Edwards,et al.  Probability-preferences in gambling. , 1953, The American journal of psychology.

[34]  K. Arrow.  Alternative Approaches to the Theory of Choice in Risk-Taking Situations , 1951 .

[35]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.