Abstract
The phenomenon of risk (or alternatively, uncertainty or incomplete information) plays a pervasive role in economic life. Without it, financial and capital markets would consist of the exchange of a single instrument each period, the communications industry would cease to exist, and the profession of investment banking would reduce to that of accounting. One need only consult the contents of any recent economics journal to see how the recognition of risk has influenced current research in economics. In this essay we present an overview of the modern economic theory of the characterization of risk and the modelling of economic agents’ responses to it.
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Bibliography
Anscombe, F. and Aumann, R. 1963. A definition of subjective probability. Annals of Mathematical Statistics 34, 199–205.
Arrow, K. 1964. The role of securities in the optimal allocation of risk–bearing. Review of Economic Studies 31, 91–6.
Bawa, V. 1982. Stochastic dominance: a research bibliography. Management Science 28, 698–712.
Borch, K. 1969. A note on uncertainty and indifference curves. Review of Economic Studies 36, 1–4.
Debreu, G. 1959. Theory of Value: An Axiomatic Analysis of General Equilibrium. New Haven: Yale University Press.
Diamond, P. and Rothschild, M. (eds) 1978. Uncertainty in Economics: Readings and Exercises. New York: Academic Press.
Diamond, P. and Stiglitz, J. 1974. Increases in risk and in risk aversion. Journal of Economic Theory 8, 337–60.
Ekern, S. 1980. Increasing n’th degree risk. Economic Letters 6, 329–33.
Epstein, L. and Tanny, S. 1980. Increasing generalized correlation: a definition and some economic consequences. Canadian Journal of Economics 13, 16–34.
Feldstein, M. 1969. Mean–variance analysis in the theory of liquidity preference and portfolio selection. Review of Economic Studies 36, 5–12.
Fishburn, P. 1982. Simplest cases of n’th degree stochastic dominance. Operations Research Letters 1, 89–90.
Fishburn, P. and Vickson, R.G. 1978. Theoretical foundations of stochastic dominance. In Whitmore and Findlay (1978).
Hadar, J. and Russell, W. 1969. Rules for ordering uncertain prospects. American Economic Review 59, 25–34.
Hanoch, G. and Levy, H. 1969. The efficiency analysis of choices involving risk. Review of Economic Studies 36, 335–46.
Hansen, L., Holt, C. and Peled, D. 1978. A note on first degree stochastic dominance. Economics Letters 1, 315–19.
Hicks, J. 1962. Liquidity. Economic Journal 72, 787–802.
Hirshleifer, J. 1965. Investment decision under uncertainty: choice-theoretic approaches. Quarterly Journal of Economics 79, 509–36.
Hirshleifer, J. 1966. Investment decision under uncertainty: applications of the state-preference approach. Quarterly Journal of Economics 80, 252–77.
Huang, C, Kira, D. and Vertinsky, I.1978. Stochastic dominance for multi-attribute utility functions. Review of Economic Studies 45, 611–16.
Karni, E. 1985. Decision Making Under Uncertainty: The Case of State Dependent Preferences. Cambridge, Mass.: Harvard University Press.
Knight, F. 1921. Risk, Uncertainty and Profit. Boston: Houghton Mifflin Co.
Lehmann, E. 1955. Ordered families of distributions. Annals of Mathematical Statistics 26, 399–419.
Levhari, D., Parousch, J. and Peleg, B. 1975. Efficiency analysis for multivariate distributions. Review of Economic Studies 42, 87–91.
Levy, H. and Parousch, J. 1974. Toward multivariate efficiency criteria. Journal of Economic Theory 7, 129–42.
Lintner, J. 1965. The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics 44, 243–69.
Machina, M. 1987. The Economic Theory of Individual Behavior Toward Risk: Theor, Evidence and New Directions. Cambridge: Cambridge University Press.
Markowitz, H. 1952. Portfolio selection. Journal of Finance 7, 77–91.
Markowitz, H. 1959. Portfolio Selection: Efficient Diversification of Investment. New Haven: Yale University Press.
Marshall, A. and Olkin, I. 1979. Inequalities: Theory ofMajorization and Its Applications. New York: Academic Press.
Meyer, J. 1987. Two moment decision models and expected utility maximization. American Economic Review, 421–30.
Mossin, J. 1966. Equilibrium in a capital asset market. Econometrica 34, 768–83.
Pratt, J. 1964. Risk aversion in the small and in the large. Econometrica 32, 122–36.
Pratt, J., Raiffa, H. and Schlaifer, R. 1964. The foundations of decision under uncertainty: an elementary exposition. Journal of the American Statistical Association 59, 353–75.
Raiffa, H. 1968. Decision Analysis: Introductory Lectures on Choice Under Uncertainty. Reading, Mass.: Addison–Wesley.
Rothschild, M. and Stiglitz, J. 1970. Increasing risk: I. A definition. Journal of Economic Theory 2, 225–43. Reprinted in Diamond and Rothschild (1978).
Rothschild, M. and Stiglitz, J. 1971. Increasing risk: II. Its economic consequences. Journal of Economic Theory 3, 66–84.
Rothschild, M. and Stiglitz, J. 1972. Addendum to ‘Increasing risk: I. A definition’. Journal of Economic Theory 5, 306.
Russell, W. and Seo, T. 1978. Ordering uncertain prospects: the multivariate utility functions case. Review of Economic Studies 45, 605–11.
Samuelson, P. 1967. General proof that diversification pays. Journal of Financial and Quantitative Analysis 2, 1–13.
Savage, L. 1954. The Foundations of Statistics. New York: John Wiley and Sons. Revised and enlarged edition, New York: Dover Publications, 1972.
Sharpe, W. 1964. Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance 19, 425–42.
Sherman, S. 1951. On a theorem of Hardy, Littlewood, Polya, and Blackwell. Proceedings of the National Academy of Sciences 37, 826–31.(See also ‘Errata’, Proceedings of the National Academy of Sciences 38, 382.)
Strassen, V. 1965. The existence of probability measures with given marginals. Annals of Mathematical Statistics 36, 423–39.
Tesfatsion, L. 1976. Stochastic dominance and the maximization of expected utility. Review of Economic Studies 43, 301–15.
Tobin, J. 1958. Liquidity preference as behavior toward risk. Review of Economic Studies 25, 65–86.
Whitmore, G. 1970. Third–degree stochastic dominance. American Economic Review 60, 457–9.
Whitmore, G. and Findlay, M. 1978. Stochastic Dominance: An Approach to Decision Making Under Risk. Lexington, Mass.: Heath.
Yaari, M. 1969. Some remarks on measures of risk aversion and on their uses. Journal of Economic Theory 1, 315–29.
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© 1990 Palgrave Macmillan, a division of Macmillan Publishers Limited
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Machina, M.J., Rothschild, M. (1990). Risk. In: Eatwell, J., Milgate, M., Newman, P. (eds) Utility and Probability. The New Palgrave. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-20568-4_30
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DOI: https://doi.org/10.1007/978-1-349-20568-4_30
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