This paper shows that a stock market is evolutionary stable if andonly if stocks are evaluated by expected relative dividends. Any othermarket can be invaded by portfolio rules that will gain market wealthand hence change the valuation. In the model the valuation of assetsis given by the wealth...

In the standard real options approach to investment under uncertainty, agents formulate optimal policies under the assumptions of risk neutrality or perfect capital markets. However in most situations, corporate executives face incomplete markets either because they receive compensation packages...

We study the dynamic utility indifference value process p(X) when the usefulness of X is evaluated via a dynamic monetary concave utility functional (DMCUF) instead of von Neumann/Morgenstern expected utility. A DMCUF is minus a dynamic convex risk measure. The key tools for our investigations...

This paper studies an application of a Darwinian theory of portfolioselection to stocks listed in the Dow Jones Industrial Average (DJIA).We analyze numerically the long-run outcome of the competition offix-mix portfolio rules in a stock market with actual DJIA dividends.In the model seemingly...

This paper presents an application of evolutionary portfolio theory to stocks listed in the Swiss Market Index (SMI). We study numerically the long-run outcome of the competition of rebalancing rules for market shares in a stock market with actual dividends taken from firms listed in the SMI....

In this paper we analyze the long-run dynamics of the market selection process among simple trading strategies in an incomplete asset market with endogenous prices. We identify a unique surviving financial trading strategy. Investors following this strategy asymptotically gather total market...

The paper analyzes the process of market selection of investment strategies in an incomplete market of short-lived assets. In the model under study, asset payos depend on exogenous random factors. Market participants use dynamic investment strategies taking account of available information about...

This paper studies the evolution of wealth shares of portfolio rules in incomplete markets with short-lived assets. Prices are determined endogenously. The performance of a portfolio rule in the process of repeated reinvestment of wealth is determined by the wealth share eventually conquered in...

We apply perturbation theory to solve the optimal control problem of an investor with time-additive power utility over intermediate consumption and final wealth. Under general conditions we show existence of a power series representation for the prevailing optimal consumption and investment...

We apply perturbation methods to solve in closed form a class of robust control problems, implied by Anderson, Hansen and Sargent setting of a preference for robustness. In the constant investment opportunity set case, we obtain closed form power series solutions for the arising robust Bellman...