Portfolio dominance and optimality in infinite security markets
نویسندگان
چکیده
The most natural way of ordering portfolios is by comparing their payoffs. A portfolio with payoff higher than the payoff of another portfolio is greater in the sense of portfolio dominance than that other portfolio. Portfolio dominance is a lattice order if the supremum and the infimum of any two portfolios are well-defined. We study security markets with infinitely many securities and arbitrary finite portfolio holdings. If portfolio dominance order is a lattice order and has a Yudin basis, then optimal portfolio allocations and equilibria in security markets do exist. q 1998 Elsevier Science S.A. All rights reserved. JEL classification: D41; D52; G11; G22
منابع مشابه
Division of the Humanities and Social Sciences California Institute of Technology Pasadena, California 91125 Portfolio Dominance and Optimality in Infinite Securities Markets
The most natural way of ordering portfolios is by comparing their payoffs. If a port folio has a payoff higher than the payoff of another portfolio, then it is greater than the other portfolio. This order is called the portfolio dominance order. An important property that a portfolio dominance order may have is the lattice property. It requires that the supremum and the infimum of any two port...
متن کاملEffi cient Diversification under Generalized Almost Stochastic Dominance
Stochastic dominance (SD) has been identified as an important method for effi cient diversification. However, the SD rule is too rigid in that it remains silent on some obvious preferences between two distributions for most investors as pointed out by Leshno and Levy (2002). Thus the purpose of this paper is to derive an effi cient frontier according to generalized almost stochastic dominance (...
متن کاملStochastic Dominance-Constrained Markov Decision Processes
We are interested in risk constraints for infinite horizon discrete time Markov decision processes (MDPs). Starting with average reward MDPs, we show that increasing concave stochastic dominance constraints on the empirical distribution of reward lead to linear constraints on occupation measures. An optimal policy for the resulting class of dominance-constrained MDPs is obtained by solving a li...
متن کاملPortfolio Optimization with Stochastic Dominance Constraints
We consider the problem of constructing a portfolio of finitely many assets whose returns are described by a discrete joint distribution. We propose a new portfolio optimization model involving stochastic dominance constraints on the portfolio return. We develop optimality and duality theory for these models. We construct equivalent optimization models with utility functions. Numerical illustra...
متن کاملImpact of the Selected Domestic and Foreign Markets Returns on Stock Price in Iran
One of the features of a financial market, the stock market, in particular, is the market sentiment which is the overall attitude of investors toward a particular security or financial market. Investors always seek to create a portfolio with minimum risk while maintaining the expected return level. Therefore, perceiving the relationship between the stock returns and markets returns can be helpf...
متن کامل