Markowitz and Sharpe won the Nobel Prize in Economics more than a decade ago for the development of Mean-Variance analysis and the Capital Asset Pricing Model (CAPM). In the year 2002, Kahneman won the Nobel Prize in Economics for the development of Prospect Theory. Can these two apparently...

As early as 1934 Graham and Dodd conjectured that excess returns from value investment originate from a tendency of markets to converge towards fundamental values. This paper confirms their insights theoretically within the evolutionary finance model of Evstigneev, Hens, and Schenk-Hopp (2006)...

Under the assumption of normally distributed returns, we analyzewhether the Cumulative Prospect Theory of Tversky and Kahneman (1992)is consistent with the Capital Asset Pricing Model. We find that in everyfinancial market equilibrium the Security Market Line Theorem holds.However, under the...

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....

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...

We solve analytically the Merton's problem of an investor with time-additive power utility. For general state dynamics, we prove existence of two power series representations of the relevant optimal policies and value functions, which hold for all admissible risk aversion parameters. We...