Xu, Guo and WingKeung, Wong and Lixing, Zhu (2013): Almost Stochastic Dominance for RiskAverse and RiskSeeking Investors.

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Abstract
In this paper we �first develop a theory of almost stochastic dominance for riskseeking investors to the first three orders. Thereafter, we study the relationship between the preferences of almost stochastic dominance for riskseekers with that for risk averters.
Item Type:  MPRA Paper 

Original Title:  Almost Stochastic Dominance for RiskAverse and RiskSeeking Investors 
Language:  English 
Keywords:  Almost Stochastic Dominance, expectedutility maximization, risk averters, risk seekers. 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C00  General D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty G  Financial Economics > G1  General Financial Markets > G11  Portfolio Choice ; Investment Decisions 
Item ID:  51744 
Depositing User:  WingKeung Wong 
Date Deposited:  21. Dec 2013 09:24 
Last Modified:  21. Dec 2013 10:13 
References:  Bali, T.G., Demirtas, K. O., Levy, H., Wolf, A. (2009), Bonds versus stocks: Investors'age and risk taking. Journal of Monetary Economics, 56(6), 817830. Chan, Raymond H., Clark, Ephraim, Wong, WingKeung, 2012. On the Third Order Stochastic Dominance for RiskAverse and RiskSeeking Investors, MPRA Paper 42676, University Library of Munich, Germany. Crainich, D., L. Eeckhoudt, and A. Trannoy. Even (Mixed) Risk Lovers are Prudent. American Economic Review. Denuit, M. M., Eeckhoudt, L. (2010), A general index of absolute risk attitude. Management Science, 56(4), 712715. Eeckhoudt, L., and M., Kimball, (1992), Background risk, prudence, and the demand for insurance, Contributions to insurance economics, ed. by G. Dionne. Boston: Kluwer, 239254. Eeckhoudt, L., Schlesinger, H. (2006), Putting risk in its proper place. American Economic Review, 96(1), 280289. Eeckhoudt, L., Schlesinger, H., Tsetlin, I., (2009), Apportioning of risks via stochastic dominance, Journal of Economic Theory 144(3), 9941003. Fong, W.M., H.H. Lean, and W.K. Wong, 2008, Stochastic Dominance and Behavior towards Risk: The Market for Internet Stocks, Journal of Economic Behavior and Organization 68(1), 194208. Guo, X., Post, T., Wong, W.K., Zhu, L.X., 2013. Moment Conditions for Almost Stochastic Dominance, MPRA Paper 51725, University Library of Munich, Germany. Guo, X., Zhu, X.H., Wong, W.K., Zhu, L.X., 2013a, A Note on Almost Stochastic Dominance. Economics Letters 121(2), 252256. Hadar J.,and Russell W.R. (1969),“Rules for Ordering Uncertain Prospects,” American Economic Review 59, 2534. Hammond, J.S. 1974. Simplifying the choice between uncertain prospects where preference is nonlinear. Management Science 20(7) 10471072. Hanoch, G, H. Levy. 1969. The eﬃciency analysis of choices involving risk. Review of Economic Studies, 36(3) 335346. Lehmann, E.L., 1955. Ordered families of distributions. Annals of Mathematical Statistics 26, 399419. Mann, H.B., Whitney, D.R., 1947. On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics 18, 5060. Meyer, J., 1977. Second Degree Stochastic Dominance with Respect to a Function. International Economic Review 18, 476487. Levy H., 1992. Stochastic dominance and expected utility: Survey and analysis. Management Science, 38(4), 555593. Levy, H., 1998. Stochastic dominance: Investment decision making under uncertainty. Kluwer, Boston. Levy, H. (2006), Stochastic Dominance: Investment Decision Making Under Uncertainty, Springer, New York. Haim Levy, Moshe Leshno, Boaz Leibovitch, 2010, Economically relevant preferences for all observed epsilon, Ann Oper Res (2010) 176: 153178. Moshe Levy, 2009, Almost Stochastic Dominance and stocks for the long run, European Journal of Operational Research 194, 250257. Leshno, M., Levy, H. (2002), Preferred by “all” and preferred by “most” decision makers: Almost stochastic dominance. Management Science, 48(8), 10741085. Li, C.K., and W.K. Wong, (1999). “ Extension of Stochastic Dominance Theory to Random Variables,” RAIRO Recherche Op�erationnelle, 33, 509524. Quirk, J.P., Saposnik, R. 1962. Admissibility and Measurable Utility Functions. Review of Economic Studies 29, 140146. Markowitz, H.M., 1952. The Utility of Wealth. Journal of Political Economy 60, 151156. Menezes, C., Geiss, C., & Tressler, J. (1980). Increasing downside risk. American Economic Review, 70, 921?32. T Post, H Levy, 2005, Does risk seeking drive stock prices? A stochastic dominance analysis of aggregate investor preferences and beliefs, Review of Financial Studies 18(3), 925953. T Post, P Versijp, 2007, Multivariate tests for stochastic dominance eﬃciency of a given portfolio, Journal of Financial and Quantitative Analysis, 42(2), 489515. Stoyan, D., 1983. Comparison Methods for Queues and Other Stochastic Models, (New York:Wiley). Tobin, J., 1958. Liquidity Preference as Behavior towards Risk. Review of Economic Studies 25, 6586. Tzeng, L.Y., Huang, R.J., Shih, PT. (2012), Revisiting Almost SecondDegree Stochastic Dominance, Management Science, DOI:10.1287/mnsc.1120.1616. Whitmore, G. A. (1970), ThirdDegree Stochastic Dominance, American Economic Review 60(3), 457  59. Wong, W.K. (2007): “Stochastic Dominance and MeanVariance Measures of Profit and Loss for Business Planning and Investment,” European Journal of Operational Research, 182, 829843. Wong, W.K., and C.K. Li (1999): “A Note on Convex Stochastic Dominance Theory,” Economics Letters, 62, 293300. Wong, W.K., and C. Ma, 2008, Preferences over Meyer’s locationscale family, Economic Theory 37(1), 119146. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/51744 