Abstract
Stochastic dominance (SD) rules are applicable in selection between mutually exclusive investments but, unlike the mean-variance rule, they cannot identify all possible efficient diversification strategies. Thus, SD rules can tell us whether investment F dominates investment G, or investment G dominates H, but they cannot provide us with the set of combinations of these three assets that dominate all other sets of combinations. Moreover, for two investments F and G, even if it is given that F dominates G, say by SSD, when diversification is considered, one cannot tell unequivocally whether this SSD implies that more than 50% of the wealth should be invested by all risk averters in the superior investment F. Analysis of SD and diversification has been attempted but much still has to be accomplished in this area of research. In this chapter we first discuss some published results obtained in this area, and then we will report some new results.
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Arrow, J.K., Essays in the Theory of Risk Bearing, Markam Publishing Company, Chicago, 1971.
Tobin, J., “Liquidity Preferences as Behavior Toward Risk,” Review of Economic Studies, 25, 1958, pp. 65–86.
Levy, H., “The Demand for Assets Under Conditions of Risk,” Journal of Finance, 28, March 1973, pp. 79–96.
Fishburn, P.C., and R.B. Porter, “Optimal Portfolios with One Safe and One Risky Asset: Effects of Changes in Rates of Return and Risk,” Management Science, 22, 1976, pp. 1064–1073.
Kira, D. and W.T. Ziemba, “The Demand for Risky Assets,” Management Science, 26, 1980, pp. 1158–1165.
Hadar, J. and T.K. Seo, “Asset Proportions in Optimal Portfolios,” Review Economic Studies, 55, 1988, pp. 459–468.
Hadar, J. and T.K. Seo, “The Effects of Shifts in a Return Distribution on Optimal Portfolio,” International Economic Review, 31, 1990, pp. 721–736.
Landsberger, M. and I. Meilijson, “Demand for Risky Financial Assets: A Portfolio Analysis,” Journal Economic Theory, 12, 1976, pp. 483–487.
Levy, H., and Markowitz, H.M., “Approximating Expected Utility by a Function of Mean and Variance,” American Economic Review, 69, No. 3, June 1979, pp. 308–317.
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Levy, H. (1998). Stochastic Dominance and Diversification. In: Stochastic Dominance. Studies in Risk and Uncertainty, vol 12. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2840-8_10
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DOI: https://doi.org/10.1007/978-1-4757-2840-8_10
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