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Stochastic Dominance and Expected Utility: Survey and Analysis

Author:

Haim LevyAuthors Info & Claims

Management Science, Volume 38, Issue 4

Pages 555 - 593

Published: 01 April 1992 Publication History

Abstract

While Stochastic Dominance has been employed in various forms as early as 1932, it has only been since 1969-1970 that the notion has been developed and extensively employed in the area of economics, finance, agriculture, statistics, marketing and operations research.

In this survey, the first-, second-and third-order stochastic dominance rules are discussed with an emphasis on the development in the area since the 1980s.

References

[1]

ABOUDI, R. AND D. THON, "Efficient Algorithms for Stochastic Dominance Tests Based on Financial Market Data," Working Paper, 1989.

[2]

AHARONY, J. AND M. LOEB, "Mean-Variance vs. Stochastic Dominance: Some Empirical Findings on Efficient Sets," J. Banking and Finance, 1 (1977), 92-102.

[3]

ALI, M. M., "Stochastic Dominance and Portfolio Analysis," J. Financial Economics, 2 (1975), 205-229.

[4]

ALLAIS, M., "Le Comportement de l'Homme Rationnel devant le Risque: Critique des Postulats et Axiomes de l'Ecole Americaine," Econometrica, 21 (1953), 503-546.

[5]

ALLAIS, M., "The Foundations of a Positive Theory of Choice Involving Risk and a Criticism of the Postulates and Axioms of the American School," Utility Hypotheses and the Allais Paradox, Allais, M. and M. Machina (Eds.), D. Reidel, Dordrecht, 1979.

[6]

ALLAIS, M., "Allais Paradox," Utility and Probability, The Macmillan Press, United Kingdom, 1990, 3-9.

[7]

ANY, J. S. AND J. H. CHUA, "Mutual Funds: Different Strokes for Different Folks?," J. Portfolio Management, 8 (1982), 43-47.

[8]

ARDITTI, F. D., "Another Look at Mutual Fund Performance," J. Financial and Quantitative Anal., 6 (1971), 909-912.

[9]

Y. PELES, "Leverage Bankruptcy and the Cost of Capital," In Natural Resources, Uncertainty and General Equilibrium Systems: Essays in Memory of Rafael Lusky, A. S. Blinder and P. Friedman (Eds.). Academic Press, New York, 1977.

[10]

ARROW, K. J., Aspects of the Theory of Risk Bearing, Yrjo Jahnssonin Saatio, Helsinki, 1965.

[11]

M. KURZ, Public Investment, the Rate of Return and Optimal Fiscal Policy, John Hopkins Press, Baltimore, MD, 1970.

[12]

ASHTON, D. J., "Stochastic Dominance and Mean-Variance Rules in the Selection of Risky Investments," J. Business Finance and Accounting, 9 (1982), 471-481.

[13]

ATKINSON, A. B., "On the Measurement of Inequality," J. Economic Theory, 2 (1970), 244-263.

[14]

BARLEY, B., W. DENNY AND H. LEVY, "Using Accounting Data for Portfolio Management," J. Portfolio Management, 14 (1988), 70-77.

[15]

BARON, D. P., "Default Risk, Homemade Leverage and the Modigliani-Miller Theorem," Amer. Economic Rev., 64 (1974), 176-82.

[16]

BARON, D. P., "Firm Valuation, Corporate Taxes, and Default Risk," J. Finance, 30 (1975), 1251-1264.

[17]

BAUMOL, W. J., "An Expected Gain Confidence Limit Criterion for Portfolio Selection," Management Sci., 10 (1963), 174-182.

[18]

BAWA, V. S., "Optimal Rules for Ordering Uncertain Prospects," J. Financial Economics, 2 (1975), 95-121.

[19]

BAWA, V. S., "Safety-First, Stochastic Dominance and Optimal Portfolio Choice," J. Financial and Quantitative Anal., 13 (1978), 255-71.

[20]

BAWA, V.S., "Stochastic Dominance: A Research Bibliography," Management Sci., 28 (1982), 698-712.

Digital Library

[21]

E. B. LINDENBERG AND L. C. RAFSKY, "An Efficient Algorithm to Determine Stochastic Dominance Admissible Set," Management Sci., 25 (1979), 609-622.

[22]

J. BONDURTHA, M. R. RAO AND H. L. SURI, "On Determination of Stochastic Dominance Optimal Set," J. Finance, 40 (1985), 417-431.

[23]

BEN-HORIM, M., "Stochastic Dominance and Truncated Sample Data," J. Financial Res., 13 (1990), 105-113.

[24]

H. LEVY, "Evaluating Estimators Using Stochastic Dominance Rules: The Variance of a Normal Distribution," Comm. Statist., (1982).

[25]

H. LEVY, "Stochastic Dominance and Parameters Estimation: The Case of Symmetric Stable Distribution," Insurance Math. and Economics, 3 (1984), 133-138.

[26]

BEY, R. P., "Estimating the Optimal Stochastic Dominance Efficient Set with Mean Semi-Variance Algorithms," J. Financial and Quantitative Anal., 14 (1979), 1059-1070.

[27]

R. C. BURGESS AND R. B. KEARN, "Moving Stochastic Dominance: An Alternative Method for Testing Market Efficiency," J. Financial Res., Vol. 7 (1984), 185-196.

[28]

K. M. HOWE, "A Gini's Mean Difference and Portfolio Selection: An Empirical Evaluation," J. Financial and Quantitative Anal., 19 (1984), 329-338.

[29]

R. B. PORTER, "Portfolio Applications: Comparison of Selection Models," Stochastic Dominance. An Approach to Decision-Making Under Risk, Whitmore, G. A., and Findlay, M. C. (Eds.). D. C. Heath, Lexington, MA, 1978, 263-292.

[30]

BISHOP, J. A., S. CHAKRABORTI AND P. D. THISTLE, "Asymptotically Distribution-Free Statistical Inference for Generalized Lorenz Curves," Rev. Economics and Statist., 71 (1989), 725-727.

[31]

BLACKWELL, D., "Comparison of Experiments," In Proc Second Berkeley Sympos. Math. Statist. and Probability, University of California Press, Berkeley, 1951, 93-102.

[32]

BLACKWELL, D., "Equivalent Comparisons of Experiments," Ann. Math. Statist., 24 (1953), 264-272.

[33]

M. A. GIRSHICK, Theory of Games and Statistical Decisions, Wiley, New York, 1954.

[34]

BLAYBACK, B. K. AND G. KARAPHILLIS, "A Selection Technique for Capital Investment Decisions: An Industrial Application of Stochastic Dominance," Rev. Business and Economic Res., 18 (1983), 1-12.

[35]

BOOTH, J. R., H. TEHRANIAN AND G. L. TRENNEPOHL, "Efficiency Analysis and Option Portfolio Selection," J. Financial and Quantitative Anal., 20 (1985), 435-450.

[36]

BORCH, V. S., "A Note on Uncertainty and Indifference Curves," Rev. Economic Studies, 36 (1969), 1-4.

[37]

BOYER, MARCEL, GEORGES DIONNE AND RICHARD KHILSTROM, "Insurance and the Value of Publicly Available Insurance," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 137-155.

[38]

BRADLEY, M. G. AND D. E. LEHMAN, "Instrument Effects and Stochastic Dominance," Insurance, Math, and Economics, 7 (1988), 185-191.

[39]

BRENNAN, MICHAEL AND ALAN KRAUS, "Efficient Financing Under Asymmetric Information," J. Finance, (1987), 1225-1243.

[40]

BROOKS, R., "Investment Decision-Making with Derivative Securities," Financial Rev., 24 (1989), 511-527.

[41]

H. LEVY, "Efficiency Analysis with Index Options," Working Paper, University of Florida, 1989.

[42]

J. YODER, "Using Stochastic Dominance to Evaluate the Performance of Portfolios with Options," Financial Analysts J., 43 (1987), 79-82.

[43]

BROSKE, MARY S. AND HAIM LEVY, "The Stochastic Dominance Estimation of Default Probability," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 91-112.

[44]

BRUMELLE, S. L., "When Does Diversification Between Two Investments Pay?" J. Financial and Quantitative Anal., 9 (1974), 473-482.

[45]

BUCKLEY, J., "Stochastic Dominance: An Approach to Decision Making Under Risk," 6 (1986), 35-41.

[46]

BURGESS, R. C., "Portfolio Applications: Comparison of Selection Models," Stochastic Dominance. An Approach to Decision-Making Under Risk, Whitmore, G. A., and M. C. Findley (Eds.), D. C. Heath, Lexington. MA, 1978, 163-195.

[47]

CHAING, R., "Some Results on Bond Yield and Default Probability," Southern Economic J., 53 (1987), 1037-1051.

[48]

CHEUNG, C. S., C. C. Y. KWAN AND P. C. Y. YIP, "The Hedging Effectiveness of Options and Futures: A Mean-Gini Approach," J. Futures Markets, 10 (1990), 61-73.

[49]

CHEW, SOO HONG, "A Generalization of the Quasilinear Mean with Applications to the Measurement of Income Inequality and Decision Paradox Resolving the Allais Paradox," Econometrica, 51 (1983), 1065-1092.

[50]

CHOI, E. K. AND S. R. JOHNSON, "Stochastic Dominance and Uncertain Price Prospects," Southern Economic J., 55 (1989), 699-709.

[51]

CLARKE, R. G., "Stochastic Dominance of Portfolio Insurance Strategies," Working Paper, Brigham Young University, 1988.

[52]

COOTNER, P. H., (ED.), The Random Character of Stock Market Prices, MIT Press, Cambridge, MA, 1967.

[53]

DASGUPTA, P., A. SEN AND D. STARRETT, "Notes on the Measurement of Inequality," J. Economic Theory, 6 (1973), 180-187.

[54]

DESHPANDE, J. V. AND H. SINGH, "Testing for Second Order Stochastic Dominance," Comm. Statist. Part A: Theory and Methods, 14 (1985), 887-897.

[55]

DEXTER, A. S., J. S. W. YU AND W. T. ZIEMBA, "Portfolio Selection in a Lognormal Market When the Investor has a Power Utility Function: Computational Results," Stochastic Programming, Dempster, M. A. (Ed.), Academic Press, London, 1980, 507-523.

[56]

DIAMOND, P. A. AND J. E. STIGLITZ, "Increases in Risk and in Risk Aversion," J. Economy Theory, 8 (1974), 337-360.

[57]

DICKINSON, J. P., "The Reliability of Estimation Procedures in Portfolio Analysis," J. Financial and Quantitative Anal., 9 (1974), 447-462.

[58]

DYBVIG, P., "Distributional Analysis of Portfolio Choice," J. Business, 61 (1988), 369-393.

[59]

EATON, P., "Stochastic Dominance in Two-Stage Problem with Linear Criteria," Engineering Economist, 33 (1988), 211-234.

[60]

EDEN, B., "Stochastic Dominance in Human Capital," J. Political Economics, 87 (1980), 135-145.

[61]

EFRON, BRADLEY AND GAIL GONG, "A Leisurely Look at the Bootstrap the Jackknife and Cross Validation," The Amer. Statist., (1983), 36-48.

[62]

EKERN, S., "Time Dominance Efficiency Analysis," J. Finance, 36 (1981), 1023-1034.

[63]

ELLSBERG, D., "Risk, Ambiguity, and the Savage Axioms," Quart. J. Economics, 75 (1961), 643-669.

[64]

EPPS, T. W., "Stochastic Dominance with Quadratic Utilities of Weak Condition," J. Economics and Business, 31 (1978), 70-73.

[65]

EPSTEIN, L. G. AND S. M. TANNY, "Increasing Generalized Correlation: A Definition and Some Consequences," Institute for Policy Analysis, Working paper No. 7803, University of Toronto, 1978.

[66]

EVANS, R. AND R. WEINSTEIN, "Ranking Occupations as Risky Income Prospects," Industrial and Labor Rev., 35 (1982), 252-259.

[67]

FALK, H. AND H. LEVY, "Market Reaction to Quarterly Earnings' Announcements: A Stochastic Dominance Based Test of Market Efficiency," Management Sci., 35 (1989), 425-446.

Digital Library

[68]

FISHBURN, P. C., Decision and Value Theory, Wiley, New York, 1964.

[69]

FISHBURN, P. C., "Stochastic Dominance Without Transitive Preferences," Management Sci., 24 (1978), 1268-1277.

Digital Library

[70]

FISHBURN, P. C., "Stochastic Dominance and Moments Distributions," Math. Oper. Res., 5 (1980), 94-100.

Digital Library

[71]

FISHBURN, P. C., "Subjective Expected Utility: A Review of Normative Theories," Theory and Decision, 13 (1981), 139-199.

[72]

FISHBURN, P. C., "Moment-Preserving Shifts and Stochastic Dominance," Math. Oper. Res., 7 (1982a), 629-634.

Digital Library

[73]

FISHBURN, P. C., "Nontransitive Measurable Utility," J. Math. Psychology, 26 (1982b), 31-67.

[74]

FISHBURN, P. C., "SSB Utility Theory and Decision-Making Under Uncertainty," Math. Social Sciences, 8 (1984), 253-285.

[75]

FISHBURN, P. C., "Foundations of Decision Analysis: Along the Way," Management Sci., (1989a), 387-424.

[76]

FISHBURN, P. C., "Stochastic Dominance in Nonlinear Utility Theory," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989b, 3-20.

[77]

FISHBURN, P. C., "Interdependent Preferences," Utility and Probability, The Macmillan Press, United Kingdom, 1990a, 121-127.

[78]

FISHBURN, P. C., "Representation of Preferences," Utility and Probability, The Macmillan Press, United Kingdom, 1990b, 217-226.

[79]

R. B. PORTER, "Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rates of Return and Risk," Management Sci., 22 (1976), 1064-1073.

[80]

R. G. VICKSON, "Theoretical Foundations of Stochastic Dominance," Stochastic Dominance. An Approach to Decision-Making Under Risk, Whitmore, G. A. and Findlay, M. C. (Eds.), D. C. Heath, Lexington, MA, 1978, 39-114.

[81]

R. D. WILLIG, "Transfer Principles in Income Redistribution," J. Public Economics, 25 (1984), 323-328.

[82]

FRANCK, W. E., "A Likelihood Ratio Test for Stochastic Ordering," J. Amer. Statist. Assoc., 70 (1984), 686-691.

[83]

FRANKFURTER, G. M. AND H. E. PHILLIPS, "Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios, A Comment," J. Financial and Quantitative Anal., 10 (1975), 177-179.

[84]

GAN, C., R. B. WHARTON AND T. P. ZACHARIAS, "Risk-Efficiency Analysis of Export Earnings. An Application of Stochastic Dominance," Amer. J. Agricultural Economics, 70 (1988), 1204.

[85]

GANDHI, D. K. AND A. SAUNDERS, "The Superiority of Stochastic Dominance over Mean-Variance Efficiency Criteria: Some Clarifications," J. Business Finance and Accounting, 8, 51-59.

[86]

GAVISH, B., "A Relaxation Algorithm for Building Undominated Portfolios," J. Banking and Finance, 1 (1977), 143-50.

[87]

GOULD, J. P., "Risk, Stochastic Preferences and the Value of Information," J. Economic Theory, 8 (1974), 64-84.

[88]

HADAR, J. AND W. R. RUSSELL, "Rules for Ordering Uncertain Prospects," Amer. Economic Rev., 59 (1969), 25-34.

[89]

HADAR, J. AND W. R. RUSSELL, "Stochastic Dominance and Diversification," J. Economic Theory, 3 (1971), 288-305.

[90]

HADAR J. AND W. R. RUSSELL, "Diversification of Interdependent Prospects," J. Economic Theory, 1 (1974), 231-40.

[91]

HADAR J. AND W. R. RUSSELL, "Applications in Economic Theory Analysis," Stochastic Dominance. An Approach to Decision-Making Under Risk, Whitmore, G. A., and Findlay, M. C. (Eds.), D. C. Heath, Lexington, MA, 1978, 39-114.

[92]

K. SEO, "Gain from Diversification," Rev. Economic Studies, 44 (1977), 363-368.

[93]

T. K. SEO, "Stochastic Dominance and the Case for Diversification," Research in Finance, H. Levy (Ed.), 2, 1980, 99-100.

[94]

T. K. SEO, "Asset Proportions in Optimal Portfolios," Rev. Economic Studies, 55 (1988), 459-468.

[95]

T. K. SEO, "The Effects of Shifts in a Return Distribution on Optimal Portfolio," Internat. Economic Rev., 31 (1990), 721-736.

[96]

HAMMOND, J. S., "Simplifying the Choice Between Uncertain Prospects Where Preference Is Non-Linear," Management Sci., 20 (1974), 1046-1072.

Digital Library

[97]

HANOCH, G. AND H. LEVY, "The Efficiency Analysis of Choices Involving Risk," Rev. Economic Studies, 36 (1969), 335-346.

[98]

HANOCH, G. AND H. LEVY, "Efficient Portfolio Selection with Quadratic and Cubic Utility," J. Business, 43 (1970), 181-189.

[99]

HARDY, G. H., J. E. LITTLEWOOD AND G. POLYA, Inequalities, University Press, Cambridge, MA, 1959.

[100]

HARRIS, THOMAS R. AND H. P. MAPP, "A Stochastic Dominance Comparison of Water-Conserving Irrigation Strategies," Amer. J. Agricultural Economics, 68 (1986), 298-305.

[101]

HENIN, C. AND W. F. RENTZ, "Call Purchases, Stock Purchases, and Subjective Stochastic Dominance," J. Business Finance and Accounting, 11 (1984), 127-138.

[102]

HENIN, C. AND W. F. RENTZ, "Subjective Stochastic Dominance, Put Writing, and Stock Purchases with Extension to Option Pricing and Portfolio Composition," Management Sci., 31 (1985), 919-927.

Digital Library

[103]

HOGAN, W. W. AND J. M. WARREN, "Computation of the Efficient Boundary in the E-S Portfolio Selection Model," J. Financial and Quantitative Anal., 7 (1972), 1881-1896.

[104]

HOREN, J. AND S. Y. WU, "Vertical Transactions under Uncertainty," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 157-186.

[105]

HUANG, C. C., I. VERTINSKY AND W. T. ZIEMBA, "On Multiperiod Stochastic Dominance," J. Financial and Quantitative Anal., 13 (1978), 1-13.

[106]

HUGHES, J. S., "Agency Theory and Stochastic Dominance," J. Financial and Quantitative Anal., Vol. 17 (1982), 341-361.

[107]

INGERSOLL, J. E., Theory of Financial Decision Making, Rowman & Littlefield Publishers, Totowa, NJ, 1987.

[108]

ITAGAKI, TAKAO, "Optimal Tariffs and Quotas under Uncertain International Transfer," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 187-199.

[109]

JARROW, R., "The Relationship Between Arbitrage and First Order Stochastic Dominance," J. Finance, 41 (1986), 915-921.

[110]

JEAN, W. H., "Comparison of Moment and Stochastic Dominance Ranking Methods," J. Financial and Quantitative Anal., 10 (1975), 151-161.

[111]

JEAN, W. H., "The Geometric Mean and Stochastic Dominance," J. Finance, 35 (1980), 151-158.

[112]

JEAN, W. H., "The Harmonic Mean and Other Necessary Conditions for Stochastic Dominance," J. Finance, 39 (1984), 527-534.

[113]

B. P. HELMS, "Geometric Mean Approximations," J. Financial and Quantitative Anal., 18 (1983), 287-293.

[114]

B. P. HELMS, "Stochastic Dominance as a Decision Model," Quart. J. Business and Economics, 25 (1986), 65-101.

[115]

B. P. HELMS, "The Identification of Stochastic Dominance Efficient Set by Moment Combination Ordering," J. Banking and Finance, 12 (1988a), 243-253.

[116]

B. P. HELMS, "Moment Orderings and Stochastic Dominance Tests," J. Business Finance and Accounting, 15 (1988b), 573-584.

[117]

JEWITT, I., "A Note on Comparative Statistics and Stochastic Dominance," J. Math. Economics, 15 (1986), 249-254.

[118]

JOHNSON, K. H. AND R. C. BURGESS, "The Effect of Sample Size on the Accuracy of EV and SSD Efficiency Criteria," J. Financial and Quantitative Anal., 10 (1975), 813-820.

[119]

JOY, O. M. AND R. B. PORTER, "Stochastic Dominance and Mutual Fund Performance," J. Financial and Quantitative Anal., 9 (1974), 25-31.

[120]

KAHNEMAN, D. AND A. TVERSKY, "Prospect Theory: An Analysis of Decision Under Risk," Econometrica, 47 (1979), 263-291.

[121]

KALLBERG, J. G. AND W. T. ZIEMBA, "Remarks on Optimal Portfolio Selection," Methods Oper. Res., 44 (1981), 507-520.

[122]

KALLBERG, J. G. AND W. T. ZIEMBA, "Comparison of Alternative Utility Function in Portfolio Selection Problems," Management Sci., 29 (1983), 1257-1276.

Digital Library

[123]

KARAMATA, J., "Sur une inegalite relative aux fonctions convexes," Publ. Math. Univ. de Belgrade, 1 (1932), 145-148.

[124]

KATZNER, DONALD W., "The 'Comparative Statics' of the Shackle-Vickers Approach to Decision-Making in Ignorance," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 21-43.

[125]

KEARNS, R. B. AND R. C. BURGESS, "On Effectiveness Algorithms for Estimating Stochastic Dominance Efficient Set," J. Financial and Quantitative Anal., 14 (1979), 547-552.

[126]

KEPPE, H.-J. AND M. WEBER, "Stochastic Dominance with Incomplete Information on Probabilities," European J. Oper. Res., 43 (1989), 350-355.

[127]

KIRA, D. AND W. T. ZIEMBA, "Equivalence Among Alternative Portfolio Selection Criteria," Financial Decision Making Under Uncertainty, H. Levy and M. Sarnat (Eds.), Academic Press, New York, 1977, 151-161.

[128]

KIRA, D. AND W. T. ZIEMBA, "The Demand for Risky Assets," Management Sci., 26 (1980), 1158-1165.

Digital Library

[129]

KROLL, Y., "Efficiency Analysis of Deductible Insurance Policies," Insurance, Math and Economics, 2 (1983), 119-137.

[130]

KROLL, Y., "The Analysis of Risky Investment: A State-Contingency Approach," J. Banking and Finance, 8 (1984), 509-524.

[131]

H. LEVY, "Stochastic Dominance with a Riskless Asset: An Imperfect Market," J. Financial and Quantitative Anal., 14 (1979), 179-204.

[132]

H. LEVY, "Sampling Errors and Portfolio Efficient Analysis," J. Financial and Quantitative Anal., 15 (1980a), 655-688.

[133]

H. LEVY, "Stochastic Dominance Criteria: A Review and Some New Evidence," Research in Finance. Vol. 2, JAI Press, Greenwich, CT, 1980b, 163-227.

[134]

H. LEVY, "Stochastic Dominance: A Note," J. Finance, 37 (1982), 871-875.

[135]

H. LEVY, "A Parametric Approach to Stochastic Dominance: The Lognormal Case," Management Sci., 32 (1986), 283-288.

[136]

H. LEVY, "Increasing Risk and Decreasing Risk Aversion," Working Paper, Hebrew University, 1988.

[137]

H. LEVY, "Investment, Capital Structure and Cost of Capital Revisited," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainly. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 201-224.

[138]

H. MARKOWITZ, "Mean-Variance Versus Direct Utility Maximization," J. Finance, (March 1984), 47-61.

[139]

LAFFONT, J. J., "Risk, Stochastic Preferences and Value of Information: A Comment," J. Economic Theory, 12 (1976), 483-487.

[140]

LANDSBERGER, M. AND I. MEILIJSON, "Demand for Risky Financial Assets: A Portfolio Analysis," J. Economic Theory, 50 (1990), 204-213.

[141]

LATANE, H. A., "Criteria for Choice Among Risky Ventures," J. Political Economy, 67 (1959), 144-155.

[142]

LEBRETON, M., "Stochastic Dominance: A Bibliographical Rectification and Restatement of Whitmore's Theorem," Math. Social Sci., 13 (1987), 73-79.

[143]

LEE, J. B., R. D. LACEWELL AND J. R. ELLIS, "Evaluation of Production and Financial Risk. A Stochastic Dominance Approach," Canad. J. Agricultural Economics, 35 (1987), 109-126.

[144]

LEE, W. Y. AND R. K. S. RAO, "Mean Lower Partial Moment Valuation and Lognormally Distributed Returns," Management Sci., 34 (1988), 446-453.

Digital Library

[145]

LEHMANN, E., "Ordered Families of Distributions," Ann. Math. Statist., 26 (1955), 399-419.

[146]

LEVHARI, D. AND H. LEVY, "The Capital Asset Pricing Model and the Investment Horizon," Rev. Economics and Statist., 59 (1977), 92-104.

[147]

J. PAROUSH AND B. PELEG, "Efficiency Analysis of Multivariate Distributions," Rev. Economic Studies, 42 (1975), 87-91.

[148]

T. N. SRINIVASAN, "Optimal Saving Under Uncertainty," Rev. Economic Studies, 36 (1969), 153-164.

[149]

LEVY, A., "Option Equilibrium in an Incomplete Market with Risk Aversion," Working Paper, Bank of Israel and Hebrew University, 1988.

[150]

LEVY, H., "Portfolio Performance and the Investment Horizon," Management Sci., 18 (1972), 645-653.

Digital Library

[151]

LEVY, H., "Stochastic Dominance Among Log-Normal Prospects," Internat. Economic Rev., 14 (1973a), 601-614.

[152]

LEVY, H., "Stochastic Dominance, Efficiency Criteria, and Efficient Portfolios: The Multi-Period Case," Amer. Economic Rev., 63 (1973b), 986-994.

[153]

LEVY, H., "Multi-Period Consumption Decision Under Conditions of Uncertainty," Management Sci., 22 (1976), 1258-1267.

Digital Library

[154]

LEVY, H., "The Definition of Risk: An Extension," J. Economic Theory, 14 (1977), 232-234.

[155]

LEVY, H., "Multi-Period, Stochastic Dominance with One-Period Parameters, Liquidity Preference and Equilibrium in the Log-Normal Case," In Natural Resources, Uncertainty and General Equilibrium Systems. Essays in Memory of Rafael Lusky, A. S. Blinder and P. Friedman, (Eds.) Academic Press, New York, 1979a.

[156]

LEVY, H., "Does Diversification Always Pay?" In Elton, E. J., and Gruber, M. J. (Eds.), Portfolio Theory, 25 Years After. Essays in Honor of Harry Markowitz, TIMS Studies in the Management Sciences. 11, 1979b.

[157]

LEVY, H., "Stochastic Dominance Rules for Truncated Normal Distributions: A Note," J. Finance, 37 (1982), 1299-1303.

[158]

LEVY, H., "Upper and Lower Bounds of Put and Call Option Value: Stochastic Dominance Approach," J. Finance, 40 (1985), 1197-1217.

[159]

LEVY, H., "Option Valuation Bounds: A Comparative Analysis," Studies in Banking and Finance, 5 (1988), 199-220.

[160]

LEVY, H., "Stochastic Dominance," Utility and Probability, The Macmillan Press, United Kingdom, 1990, 251-254.

[161]

LEVY, H., "Coefficient of Variation: The Lognormal Case," Management Sci. (forthcoming).

[162]

R. BROOKS, "An Empirical Analysis of Term Premiums Using Stochastic Dominance," J. Banking and Finance, 13 (1989), 245-260.

[163]

G. HANOCH, "Relative Effectiveness of Efficiency Criteria for Portfolio Selection," J. Financial and Quantitative Anal., 5 (1970), 63-76.

[164]

Y. KROLL, "Stochastic Dominance with Riskless Assets," J. Financial and Quantitative Anal., 11 (1976), 743-773.

[165]

Y. KROLL, "Ordering Uncertain Options with Borrowing and Lending," J. Finance, 33 (1978), 553-573.

[166]

Y. KROLL, "Efficiency Analysis with Borrowing and Lending: Criteria and Their Effectiveness," Rev. Economics and Statist., 61 (1979a), 25-30.

[167]

Y. KROLL, "Investment Decision Rules, Diversification and Investor's Initial Wealth," Econometrica, 41 (1979b), 125-130.

[168]

Y. KROLL, "Sampling Errors and Portfolio Efficiency Analysis," J. Financial and Quantitative Anal., 15 (1980a), 655-688.

[169]

Y. KROLL, "Sample vs. Population Mean-Variance, Efficient Portfolios," Management Sci., 26 (1980b), 1108-1116.

[170]

Z. LERMAN, "Testing P/E Ratios Filters with Stochastic Dominance," J. Portfolio Management, 11 (1985), 31-40.

[171]

Z. LERMAN, "Testing the Predictive Power of Ex-Post Efficient Portfolios," J. Financial Res., 11 (1988), 241-254.

[172]

A. LEVY, "Stochastic Dominance and the Investment Horizon with Riskless Asset," Rev. Economic Studies, 49 (1982), 427-438.

[173]

A. LEVY, "Multivariate Decision Making," J. Economic Theory, 32 (1984a), 36-51.

[174]

A. LEVY, "Ordering Uncertain Options Under Inflation: A Note," J. Finance, 39 (1984b), 1223-1229.

[175]

A. LEVY, "Option Valuation: An Extension of the Binomial Model," Advances in Futures and Options. Vol. 5, Fabozzi, F. J. (Ed.), JAI Press, London, England, forthcoming.

[176]

C. OFIR, "New Product Screening via the Intention to Buy Scale," Decision Sci., 17 (1986), 65-78.

[177]

J. PAROUSH, "Multiperiod Stochastic Dominance," Management Sci., 21 (1974), 428-435.

Digital Library

[178]

J. PAROUSH, "Toward Multivariate Efficiency Criteria," J. Economic Theory, 7 (1975), 129-142.

[179]

M. SARNAT, "Portfolio Selection and Investors' Utility: A Graphical Analysis," Appl. Economics, 2 (1970a), 113-119.

[180]

M. SARNAT, "Alternative Efficiency Criteria: An Empirical Analysis," J. Finance, 25 (1970b), 1153-1158.

[181]

M. SARNAT, "A Note on Portfolio Selection and Investor's Wealth," J. Financial and Quantitative Anal., 6 (1971a), 639-642.

[182]

M. SARNAT, "Two-Period Portfolio Selection and Investors' Discount Rates," J. Finance, 26 (1971b), 757-761.

[183]

M. SARNAT, "Investment Performance in an Imperfect Securities Market," Financial Analysts J., 28 (1972a), 77-81.

[184]

M. SARNAT, "Safety First--An Expected Utility Principle," J. Financial and Quantitative Anal., 7 (1972b), 1829-1834.

[185]

M. SARNAT, Portfolio and Investment Selection: Theory and Practice, Prentice Hall International, Englewood Cliffs, NJ, 1984.

[186]

G. A. WHITMORE AND M. BEN-HORIM, "Selection of Estimators for Portfolio Construction," Working Paper, Hebrew University, 1989.

[187]

LI, YUMING AND WILLIAM T. ZIEMBA, "Rules for Diversification for All Risk Averters," J. Economics and Business, (1990), 165-170.

[188]

LICHTENSTEIN, S. AND P. SLOVIC, "Reversals of Preferences between Bids and Choices in Gambling Decisions," J. Experimental Psychology, 89 (1971), 46-55.

[189]

LICHTENSTEIN, S. AND P. SLOVIC, "Response-Induced Reversals of Preference in Gambling: An Extended Replication in Las Vegas," J. Experimental Psychology, 101 (1973), 16-20.

[190]

LINTNER, J., "The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets," Rev. Economics and Statist., 47 (1965), 13-37.

[191]

MACHINA, MARK J., "'Expected Utility' Analysis without Independent Axiom," Econometrica, 50 (1982), 277-323.

[192]

MACHINA, MARK J., "Choice Under Uncertainty: Problems Solved and Unsolved," J. Economic Perspectives, (1987).

[193]

MACHINA, MARK J. AND MICHAEL ROTHSCHILD, "Risk," Utility and Probability, The Macmillan Press, United Kingdom, 1990, 227-239.

[194]

MARKOWITZ, H. M., "Portfolio Selection," J. Finance, 7 (1952), 77-91.

[195]

MARKOWITZ, H. M., Portfolio Selection, John Wiley & Sons, New York, 1959.

[196]

MARKOWITZ, H. M., "Investment for the Long Run: New Evidence for an Old Rule," J. Finance, 31 (1976), 1273-1286.

[197]

MARKOWITZ, H. M., "An Algorithm for Finding Undominated Portfolios," In Financial Decision Making Under Uncertainty, H. Levy and M. Sarnat (Eds.), Academic Press, New York, 1977, 3-10.

[198]

MARKOWITZ, H. M., Mean Variance Analysis in Portfolio Choice and Capital Markets, Basil Blackwell, New York, 1987.

[199]

MARSHALL, A. W. AND I. OLKIN, Inequalities: Theory of Majorization and its Applications, Academic Press, London, 1979.

[200]

MASSE, P., Optimal Investment Decision Rules for Action and Criteria for Choice, Prentice Hall, Englewood Cliffs, NJ, 1962.

[201]

MAY, K. O., "Intransitivity, Utility, and the Aggregation of Preference Patterns," Econometrica, 22 (1954), 1-13.

[202]

MCCARL, B. A., J. B. HASTIE, T. D. KNIGHT AND J. R. WILSON, "Stochastic Dominance over Potential Portfolios. Caution Regarding Covariance," Amer. J. Agricultural Economics, 69 (1987), 1095.

[203]

MCFADDEN, DANIEL, "Testing for Stochastic Dominance," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 113-134.

[204]

MENEZES, C., C. GEISS AND J. TRESSLER, "Increasing Downside Risk," Amer. Economic Rev., 70 (1980), 921-932.

[205]

MERTON, R. C., "Theory of Rational Option Pricing," Bell J. Economics and Management Sci., (1973), 141-183.

[206]

MEYER, J., "Increasing Risk," J. Economic Theory, 11 (1975), 119-132.

[207]

MEYER, J., "Further Application of Stochastic Dominance to Mutual Fund Performance," J. Financial and Quantitative Anal., 12 (1977a), 235-242.

[208]

MEYER, J., "Choice Among Distributions," J. Economic Theory, 14 (1977b), 326-336.

[209]

MEYER, J., "Second Degree Stochastic Dominance with Respect to a Function," Internat. Economic Rev., 18 (1979), 477-487.

[210]

MEYER, J., "Stochastic Dominance and Transformations of Random Variables," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 45-57.

[211]

MIKESELL, C. L., J. R. WILLIAMS AND J. H. LONG, "Conservation Tillage of Grain-Sorghum and Soybeans. A Stochastic Dominance Analysis," Amer. J. Agricultural Economics, 69 (1987), 1095.

[212]

MODIGLIANI, F. AND M. H. MILLER, "Reply to Heins and Sprenkle," Amer. Economic Rev., 59 (1969), 592-595.

[213]

MOSELER, K., "Statistical Decisions Between Portfolios: Mean Variance Analysis Revisited," Engineering and Process Economics, 4 (1979), 257-268.

[214]

MOSELER, K., "Stochastic Dominance Decision Rules When the Attributes Are Utility Independent," Management Sci., 30 (1984), 1311-1322.

[215]

NELSON, RAY D. AND RULON D. POPE, "Bootstrapped Insights into Empirical Applications of Stochastic Dominance," Management Sci., 37 (1991), 1182-1194.

Digital Library

[216]

OHLSON, J. A. AND W. T. ZIEMBA, "Portfolio Selection In a Lognormal Market When the Investor Has a Power Utility Function," J. Financial and Quantitative Anal., 11 (1976), 57-71.

[217]

OKUNEY, J., "A Comparative Study of the Gini's Mean Difference and Mean-Variance in Portfolio Analysis," Accounting and Finance, 28 (1988), 1-15.

[218]

PAROUSH, J., "A Note on Relative Efficiency and Risk Aversion," J. Banking and Finance, 5 (1981), 277-280.

[219]

PEARMAN, A. D. AND Z. W. KIMIETOWICZ, "Stochastic Dominance with Linear Partial Information," J. Oper. Res., 23 (1986), 57-63.

[220]

PERRAKIS, S., "Option Pricing Bounds in Discrete Time: Extensions and the Price of the American Put," J. Business, 59 (1986), 119-142.

[221]

P. RYAN, "Option Pricing bounds in Discrete Time," J. Finance, 39 (1984), 519-525.

[222]

J. ZERBINIS, "Identifying the SSD Portion of the E-V Frontier: A Note," J. Financial and Quantitative Anal., 13 (1978), 167-171.

[223]

PHILIPPATOS, G. C. AND N. GRESSIS, "Conditions of Equivalence Among E-V, SSD and E-H Portfolio Selection Criteria: The Case for Uniform, Normal and Lognormal Distributions," Management Sci., 21 (1975), 617-625.

Digital Library

[224]

C. J. WILSON, "Entropy, Market Risk, and the Selection of Efficient Portfolios," Appl. Economics, 4 (1972), 209-220.

[225]

POPE, RULON D. AND ROD F. ZIEMER, "Stochastic Efficiency Normality and Sampling Errors in Agricultural Risk Analysis," Amer. J. Agricultural Economics, (1984), 31-40.

[226]

PORTER, R. B., "An Empirical Comparison of Stochastic Dominance and Mean-Variance Choice Criteria," J. Financial and Quantitative Anal., 8 (1973), 587-608.

[227]

PORTER, R. B., "Semi-Variance and Stochastic Dominance: A Comparison," Amer. Economic Rev., 64 (1974), 200- 204.

[228]

PORTER, R. B., "Portfolio Applications: Empirical Studies," Stochastic Dominance. An Approach to Decision-Making Under Risk, Whitmore, G. A., and Findlay, M. C. (Eds.), D. C. Heath, Lexington, MA, 1978, 117-162.

[229]

J. E. GAUMNITZ, "Stochastic Dominance vs. Mean-Variance Portfolio Analysis: An Empirical Evaluation," Amer. Economic Rev., 62 (1972), 438-46.

[230]

R. C. PFAFFENBERGER, "Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios: Reply," J. Financial and Quantitative Anal., 10 (1975), 181-185.

[231]

J. R. WART AND D. L. FERGUSON, "Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios." J. Financial and Quantitative Anal., 8 (1973), 71-82.

[232]

POST, G. V. AND J. D. DILTZ, "A Stochastic Dominance Approach to Risk Analysis of Computer Systems," Management Sci. Quart., 10 (1986), 363-375.

Digital Library

[233]

PRATT, J. W., "Risk Aversion in the Small and in the Large," Econometrica, 32 (1964), 122-136.

[234]

PRATT, J. W., "Utility Functions, Interest Rates, and the Demand for Bonds," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 225-231.

[235]

QUIRK, J. P. AND R. SAPOSNIK, "Admissibility and Measurable Utility Function," Rev. Economic Studies, 29 (1962), 140-146.

[236]

RIECHERS, R. K., J. G. LEE AND R. K. HEITSCHMIDT, "Evaluating Alternative Stocking Rate Tactics. A Stochastic Dominance Approach," Amer. J. Agricultural Economics, 70 (1988), 1186.

[237]

RITCHKEN, P. H., "On Option Pricing Bounds," J. Finance, 40 (1985), 1219-1233.

[238]

Y. AGARWAL AND A. GUPTA, "Stochastic Dominance Algorithms Using Piecewise Linear Approximations," Decision Sci., 16 (1985), 370-380.

[239]

S. KUO, "Option Bounds with Finite Revision Opportunities," J. Finance, 43 (1988), 301-308.

[240]

S. KUO, "On Stochastic Dominance and Decreasing Absolute Risk Averse Option Pricing Bounds," Management Sci., 35 (1989), 51-59.

Digital Library

[241]

ROBINSON, L. J. AND P. J. BARRY, "Risk Efficiency Using Stochastic Dominance," J. Finance, 43 (1978), 301-308.

[242]

ROTHSCHILD, M. AND J. E. STIGLITZ, "Increasing Risk. I. A Definition," J. Theory, 2 (1970), 225-243.

[243]

ROTHSCHILD, M. AND J. E. STIGLITZ, "Increasing Risk. II. Its Economic Consequences," J. Economic Theory, 3 (1971), 66-84.

[244]

ROTHSCHILD, M. AND J. E. STIGLITZ, "Addendum to Increasing Risk. I. A Definition," J. Economic Theory, 5 (1972), 306.

[245]

ROTHSCHILD, M. AND J. E. STIGLITZ, "Some Further Results on the Measurement of Inequality," J. Economic Theory, 6 (1973), 188-204.

[246]

ROY, A. D., "Safety-First and the Holding of Assets," Econometrica, 20 (1952), 431-449.

[247]

RUSSELL, W. R. AND T. K. SEO, "Ordering Uncertain Prospects: The Multivariate Utility Functions Case," Rev. Economic Studies, 45 (1978), 605-611.

[248]

RUSSELL, W. R. AND T. K. SEO, "Efficient Portfolios by Stochastic Dominance," Southern Economic J., 46 (1980), 877-882.

[249]

RUSSELL, W. R. AND T. K. SEO, "Representative Sets for Stochastic Dominance Rules," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 59-76.

[250]

P. E. SMITH, "Taxation, Risk-Taking, and Stochastic Dominance," Southern Economic J., 45 (1970), 522-533.

[251]

SAMUELSON, P. A., "General Proof that Diversification Pays," J. Financial and Quantitative Anal., 2 (1967) 1-13.

[252]

SANDMO, A., "On the Theory of Competitive Firm under Price Uncertainty," Amer. Economic Rev., 61 (1971) 65-73.

[253]

SARNAT, M., "On the Use of Risk Analysis for the Evaluation of Industrial R&D Expenditures," Managerial and Decision Economics, 8 (1987), 255-258.

[254]

SAUNDERS, A., C. WARD AND R. WOODWARD, "Stochastic Dominance and the Performance of U.K. Unit Trusts," J. Financial and Quantitative Anal., 15 (1980), 323-330.

[255]

SCARSINI, M., "Dominance Condition for Multivariate Utility Functions," Management Sci., 34 (1988), 454-460.

Digital Library

[256]

SEGAL, U., "Nonlinear Decision Weights with the Independence Axiom," University of California, Los Angeles, manuscript, 1984.

[257]

SHALIT, H. AND S. YITZHAKI, "Mean Gini, Portfolio Theory and the Pricing of Risky Assets," J. Finance, 39 (1984), 1449-1468.

[258]

SHARPE, W. F., "Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk," J. Finance, 19 (1964), 425-442.

[259]

SHERMAN, S., "On a Theorem of Hardy, Littlewood, Polya, and Blackwell," Proc. Nat. Acad. Sci., 37 (1951), 826-831.

[260]

STEIN, W. E. AND R. C. PFAFFENBERGER, "Estimation of Error Probabilities in Stochastic Dominance," J. Statist. Computation and Simulation, 25 (1986), 137-165.

Digital Library

[261]

D. W. FRENCE, "Sampling Errors in First Degree Stochastic Dominance," J. Financial Res., 10 (1987), 259-268.

[262]

P. C. KUMER, "On the Estimation Risk in First Degree Stochastic Dominance: A Note," J. Financial and Quantitative Anal., 18 (1984), 471-476.

[263]

STEVENS, G. V. G., "On Tobin's Multiperiod Portfolio Theorem," Rev. Economic Studies, 39 (1972), 461-468.

[264]

TEHRANIAN, H., "Empirical Studies in Portfolio Performance Using Higher Degree of Stochastic Dominance," J. Finance, 35 (1980), 159-171.

[265]

B. P. HELMS, "An Empirical Comparison of Stochastic Dominance Among Lognormal Prospects," J. Financial and Quantitative Anal., 17 (1982), 217-226.

[266]

TESFATSION, L., "Stochastic Dominance and the Maximization of Expected Utility," Rev. Economic Studies, 43 (1976), 301-315.

[267]

THISTLE, P. D., "Ranking Distributions with Generalized Lorenz Curves," Southern Economic J., 56 (1989), 1-12.

[268]

THON, DOMINIQUE AND LARS THORLUND-PETERSEN, "Stochastic Dominance and Friedman-Savage Utility Functions," Math. Social Sciences, 16 (1988), 305-317.

[269]

TOBIN, J., "Liquidity Preferences as Behavior Toward Risk," Rev. Economic Studies, 25 (1958), 65-86.

[270]

TOLLEY, H. D. AND M. R. KOSOROK, "An Empirical Method of Comparing Risks using Stochastic Dominance," Working paper, Brigham Young University, 1989.

[271]

R. D. POPE, "Testing for Stochastic Dominance," Amer. J. Agricultural Economics, 70 (1988), 259-268.

[272]

TRENNEPOHL, G., J. BOOTH AND HASSAN TEHRANIAN, "An Empirical Analysis of Insured Portfolio Strategies Using Listed Options," J. Financial Res., 11 (1988), 1-12.

[273]

TVERSKY, A., "Intransitivity of Preferences," Psychological Rev., 76 (1969), 31-48.

[274]

VICKSON, R. G., "Stochastic Dominance Tests for Decreasing Absolute Risk-Aversion. II. General-Random Variables," Management Sci., 23 (1977), 478-489.

Digital Library

[275]

M. ALTMAN, "On the Relative Effectiveness of Stochastic Dominance Rules: Extension to Decreasingly Risk-Averse Utility Functions," J. Financial and Quantitative Anal., 12 (1977), 73-84.

[276]

VON NEUMANN, J. AND O. MORGENSTERN, Theory of Games and Economic Behavior, Princeton University Press, Princeton, NJ, (2nd Ed.), 1947, (3rd Ed.), 1953.

[277]

WEEKS, J. K. AND T. R. WINGLER, "A Stochastic Dominance Ordering of Scheduling Rules," Decision Sci., 10 (1979), 245-257.

[278]

WHITMORE, G. A., "Third Degree Stochastic Dominance," Amer. Economic Rev., 60 (1970), 457-459.

[279]

WHITEMORE, G. A., "Stochastic Dominance for the Class of Completely Monotonic Utility Functions," In Thomas B. Fomby and Tae Kun Seo (Eds.), Studies in the Economics of Uncertainty. In Honor of Josef Hadar, Springer Verlag, New York, 1989, 77-88.

[280]

M. BEN-HORIM AND H. LEVY, "Using Stochastic Dominance to Identify Admissible Estimates and Predictors," Working Paper, McGill University, 1988.

[281]

M. C. FINDLAY (EDS.), Stochastic Dominance: An Approach to Decision-Making Under Risk, Lexington Books, Toronto, 1978.

[282]

WHITT, W., "Comparing Probability Measures on a Set with an Intransitive Preference Relation," Management Sci., 25 (1979), 505-511.

Digital Library

[283]

WHITT, W., "On Stochastic Bounds for the Delay Distribution in GI/G/S Queue," Oper. Res., 29 (1981), 604-608.

Digital Library

[284]

WILLIAMS, J. R., "A Stochastic Dominance Analysis of Tillage and Crop Insurance Practices in a Semiarid Region," Amer. J. Agricultural Economics, 70 (1988), 112-120.

[285]

WINGENDER, J. AND J. E. GROFF, "On Stochastic Dominance Analysis of Day-of-the-Week Return Patterns," J. Financial Res., 12 (1989), 51-55.

[286]

YAARI, M., "Convexity in the Theory of Choice Under Risk," Quart. J. Economics, 79 (1965), 278-290.

[287]

YAARI, M., "Some Remarks on Measures of Risk Aversion and on Their Uses," J. Economic Theory, 1 (1969), 315-329.

[288]

YITMAZ, M. R., "The Case of Risk and Return Models for Multiattribute Decisions with Decomposable Utilities," J. Financial and Quantitative Anal., 18 (1983), 279-285.

[289]

YITZHAKI, S., "Stochastic Dominance, Mean-Variance, and Gini's Mean Difference," Amer. Economic Rev., 72 (1982), 178-185.

[290]

F. OLKIN, "Concentration Curves," Working Paper, Hebrew University, Jerusalem, Israel, 1988.

[291]

ZIEMBA, W. T., "Solving Nonlinear Programming Problems with Stochastic Objective Functions," J. Financial and Quantitative Anal., 8 (1972), 1809-1827.

[292]

ZIEMBA, W. T., "Choosing Investment Portfolios When the Returns Have Stable Distributions," Mathematical Programming in Theory and Practice, P. L. Hammer and G. Zoutendijk (Eds.), Amsterdam, North-Holland Publishing Company, 1974, 443-482.

[293]

ZIEMBA, W. T., "Portfolio Applications: Computational Aspects," Stochastic Dominance. An Approach to Decision-Making Under Risk, Whitmore, G. A., and Findlay, M. C. (Eds.), D. C. Heath, Lexington, MA, 1978, 199-260.

[294]

C. PARKAN AND R. BROOKS-HILL, "Calculation of Investment Portfolios with Risk Free Borrowing and Lending," Management Sci., 21 (1974), 209-222.

Digital Library

[295]

ZILCHA, I. AND S. H. CHEW, "Invariance of the Efficient Sets When the Expected Utility Hypothesis Is Relaxed," J. Economic Behavior and Organization, 13 (1990), 125-131.

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Management Science Volume 38, Issue 4

April 1992

149 pages

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