The paper shows that financial market equilibria need not exist if agents possess cumulative prospect theory preferences with piecewise-power value functions. The reason is an infiniteshort-selling problem. But even when a short-sell constraint is added, non-existence can occur due to...

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 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...

Tobin (1958) has argued that in the face of potential capital losses on bonds it is reasonable to hold cash as a means to transfer wealth over time. It is shown that this assertion cannot be sustained taking into account the evolution of wealth of cash holders versus non cash holders. Cash...

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...

This paper analyzes a dynamic stochastic equilibrium model of an asset market based on behavioral and evolutionary principles. The core of the model is a non-traditional game-theoretic framework combining elements of stochastic dynamic games and evolutionary game theory. Its key characteristic...

The paper models evolution in pecunia—in the realm of finance. Financial markets are explored as evolving biological systems. Investors pursuing diverse investment strategies compete for the market capital. Some `survive' and some `become extinct.' A central goal is to identify evolutionary...

We consider a stochastic model of a financial market with one-period assets and endogenous asset prices. The model was initially developed and analyzed in the context of Evolutionary Finance with the main focus on questions of "survival and extinction" of investment strategies (portfolio rules)....