Denuit, Michel
[UCL]
Huang, Rachel
Tzeng, Larry
Univariate almost stochastic dominance has been widely studied and applied since its introduction by Leshno and Levy (Manag Sci 48:1074–1085, 2002). This paper extends this construction to the bivariate case by means of suitable two-attribute utility functions. After having confined correlation aversion and correlation loving to some acceptable levels, bivariate almost stochastic dominance rules are introduced for the preferences exhibiting confined correlation aversion and confined correlation loving. The impact of a change in risk in terms of bivariate almost stochastic dominance on optimal saving is analyzed as an application, as well as the effect of envy and altruism on income distributions. Finally, alternative definitions of bivariate almost stochastic dominance are discussed, as well as testing procedures for such dominance rules in financial problems.
- Abel, A.: Asset prices under habit formation and catching up with the Joneses. Am. Econ. Rev. 80, 38–42 (1990)
- Atkinson Anthony B, On the measurement of inequality, 10.1016/0022-0531(70)90039-6
- Atkinson A. B., Bourguignon F., The Comparison of Multi-Dimensioned Distributions of Economic Status, 10.2307/2297269
- Bali Turan G., Demirtas K. Ozgur, Levy Haim, Wolf Avner, Bonds versus stocks: Investors’ age and risk taking, 10.1016/j.jmoneco.2009.06.015
- Bali, T.G., Brown, S.J. Ozgur Demirtas, K.: Investing in Stock Market Anomalies. http://ssrn.com/abstract=1806137 (2011)
- Bali Turan G., Brown Stephen J., Demirtas K. Ozgur, Do Hedge Funds Outperform Stocks and Bonds?, 10.1287/mnsc.1120.1689
- Barnett Richard C., Bhattacharya Joydeep, Bunzel Helle, Choosing to keep up with the Joneses and income inequality, 10.1007/s00199-009-0494-5
- Courbage Christophe, Rey Béatrice, Precautionary saving in the presence of other risks, 10.1007/s00199-006-0178-3
- Denuit Michel, Mesfioui Mhamed, A sufficient condition of crossing type for the bivariate orthant convex order, 10.1016/j.spl.2012.07.014
- Denuit Michel, Lefèvre Claude, Mesfioui M’hamed, A class of bivariate stochastic orderings, with applications in actuarial sciences, 10.1016/s0167-6687(98)00036-5
- Denuit M., Dhaene J., Goovaerts M., Kaas R., Actuarial Theory for Dependent Risks : Measures, Orders and Models, ISBN:9780470016459, 10.1002/0470016450
- Denuit Michel M., Eeckhoudt Louis, Menegatti Mario, Correlated risks, bivariate utility and optimal choices, 10.1007/s00199-009-0500-y
- Denuit Michel, Eeckhoudt Louis, Tsetlin Ilia, Winkler Robert L., Multivariate Concave and Convex Stochastic Dominance, EAA Series (2013) ISBN:9781447149255 p.11-32, 10.1007/978-1-4471-4926-2_2
- Dupor Bill, Liu Wen-Fang, Jealousy and Equilibrium Overconsumption, 10.1257/000282803321455395
- Eeckhoudt Louis, Schlesinger Harris, Changes in risk and the demand for saving, 10.1016/j.jmoneco.2008.08.004
- Eeckhoudt Louis, Rey Béatrice, Schlesinger Harris, A Good Sign for Multivariate Risk Taking, 10.1287/mnsc.1060.0606
- Epstein Larry G., Tanny Stephen M., Increasing Generalized Correlation: A Definition and Some Economic Consequences, 10.2307/134617
- García-Peñalosa Cecilia, Turnovsky Stephen J., Growth and income inequality: a canonical model, 10.1007/s00199-005-0616-7
- García-Peñalosa Cecilia, Turnovsky Stephen J., Consumption externalities: a representative consumer model when agents are heterogeneous, 10.1007/s00199-007-0296-6
- Kaplanski, G., Levy, H.: Investment Choices with Envy and Altruism. http://ssrn.com/abstract=2148874 (2013)
- Kimball Miles S., Precautionary Saving in the Small and in the Large, 10.2307/2938334
- Kuosmanen Timo, Efficient Diversification According to Stochastic Dominance Criteria, 10.1287/mnsc.1040.0284
- Leshno Moshe, Levy Haim, Preferred by “All” and Preferred by “Most” Decision Makers: Almost Stochastic Dominance, 10.1287/mnsc.48.8.1074.169
- Levy Moshe, Almost Stochastic Dominance and stocks for the long run, 10.1016/j.ejor.2007.12.017
- Levy Haim, Paroush Jacob, Toward multivariate efficiency criteria, 10.1016/0022-0531(74)90102-1
- Levy Haim, Wiener Zvi, 10.1023/a:1007730226688
- Lizyayev Andrey, Stochastic dominance efficiency analysis of diversified portfolios: classification, comparison and refinements, 10.1007/s10479-012-1123-4
- LIZYAYEV ANDREY, STOCHASTIC DOMINANCE: CONVEXITY AND SOME EFFICIENCY TESTS, 10.1142/s0219024912500367
- Lizyayev Andrey, Ruszczyński Andrzej, Tractable Almost Stochastic Dominance, 10.1016/j.ejor.2011.11.019
- Menegatti Mario, Precautionary saving in the presence of other risks: a comment, 10.1007/s00199-008-0339-7
- Post Thierry, Empirical Tests for Stochastic Dominance Efficiency, 10.1111/1540-6261.00592
- Post Thierry, Kopa Miloš, General linear formulations of stochastic dominance criteria, 10.1016/j.ejor.2013.04.015
- Richard Scott F., Multivariate Risk Aversion, Utility Independence and Separable Utility Functions, 10.1287/mnsc.22.1.12
- Stochastic Orders, ISBN:9780387329154, 10.1007/978-0-387-34675-5
- Tsetlin Ilia, Winkler Robert L., Multiattribute Utility Satisfying a Preference for Combining Good with Bad, 10.1287/mnsc.1090.1082
- Tzeng Larry Y., Huang Rachel J., Shih Pai-Ta, Revisiting Almost Second-Degree Stochastic Dominance, 10.1287/mnsc.1120.1616
Bibliographic reference |
Denuit, Michel ; Huang, Rachel ; Tzeng, Larry. Bivariate almost stochastic dominance. In: Economic Theory, Vol. 57, no. 2, p. 377-405 (2014) |
Permanent URL |
http://hdl.handle.net/2078.1/146400 |