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...

The paper examines a class of random dynamical systems related to the classical von Neumann and Gale models of economic dynamics. Such systems are defined in terms of multivalued operators in spaces of random vectors, possessing certain properties of convexity and homogeneity. We establish a...

Modern portfolio theory regards the return of an asset as its upside, while volatilityis seen as its downside. This view is shared by the majority of investors who dislikevolatile markets. Recent results in financial mathematics, however, show thatvolatility is actually good, rather than bad,...

We show that the volatility of a price process, which is usuallyregarded as an impediment to financial growth, can serve as an en-dogenous factor in its acceleration.

Von Neumann’s [60] model of an expanding economy, generalized by Gale [30],was one of the first models in Mathematical Economics that served as thebasis for a rich and interesting theory. This theory was developed for the mostpart in the 1950s and 1960s. Substantial contributions to it were...

In this paper we study the performance of self-financing constant proportions trading strategies, i.e. dynamic asset allocation strategies that keep a fixed constant proportion of wealth invested in each asset in all periods in time, in a stationary financial market. We prove that any mixed...

The paper analyzes the long-run performance of dynamic investment strategies based on fixed-mix portfolio rules. Such rules prescribe rebalancing the portfolio by transferring funds between its positions according to fixed (timeindependent) proportions. The focus is on asset markets where prices...

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)...

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....