Stochastic Dominance and the Maximization of Expected Utility
نویسندگان
چکیده
منابع مشابه
Utility Maximization, Risk Aversion, and Stochastic Dominance
Consider an investor trading dynamically to maximize expected utility from terminal wealth. Our aim is to study the dependence between her risk aversion and the distribution of the optimal terminal payoff. Economic intuition suggests that high risk aversion leads to a rather concentrated distribution, whereas lower risk aversion results in a higher average payoff at the expense of a more widesp...
متن کاملInverse stochastic dominance constraints and rank dependent expected utility theory
We consider optimization problems with second order stochastic dominance constraints formulated as a relation of Lorenz curves. We characterize the relation in terms of rank dependent utility functions, which generalize Yaari’s utility functions. We develop optimality conditions and duality theory for problems with Lorenz dominance constraints. We prove that Lagrange multipliers associated with...
متن کاملExpected Qualitative Utility Maximization
A model for decision making that generalizes Expected Utility Maximization is presented. This model, Expected Qualitative Utility Maximization, encompasses the Maximin criterion. It relaxes both the Independence and the Continuity postulates. Its main ingredient is the definition of a qualitative order on nonstandard models of the real numbers and the consideration of nonstandard utilities. Exp...
متن کاملStochastic Choice and Expected Utility
Dagsvik (2008) has recently extended Debreus (1958) representation theorem for stochastic choice to the domain of lotteries. Dagsvik provides conditions under which there exists a linear utility function such that the probability of choosing one alternative over another is represented by the di¤erence in their utilities. We give an alternative, simpler proof of Dagsviks result. Our proof deri...
متن کاملUtility Maximization Under Bounded Expected Loss
We consider the optimal selection of portfolios for utility maximizing investors under joint budget and shortfall risk constraints. The shortfall risk is measured in terms of the expected loss. Depending on the parameters of the risk constraint we show existence of an optimal solution and uniqueness of the corresponding Lagrange multipliers. Using Malliavin calculus we also provide the optimal ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Review of Economic Studies
سال: 1976
ISSN: 0034-6527
DOI: 10.2307/2297326