The paper examines questions of local asymptotic stability of randomdynamical systems. Results concerning stochastic dynamics ingeneral metric spaces, as well as in Banach spaces, are obtained. Theresults pertaining to Banach spaces are based on the linearization ofthe systems under study. The...

The paper examines a game-theoretic evolutionary model of a …-nancial market with endogenous equilibrium asset prices. Assetspay dividends that are partially consumed and partially rein-vested. The traders use general, adaptive strategies (portfoliorules), distributing their wealth between...

The paper examines a game-theoretic model of a …nancial market inwhich asset prices are determined endogenously in terms of short-runequilibrium. Investors use general, adaptive strategies depending onthe exogenous states of the world and the observed history of thegame. The main goal is to...

The paper examines a game-theoretic evolutionary model of anasset market with endogenous equilibrium asset prices. Assetspay dividends that are partially consumed and partially rein-vested. The investors use general, adaptive strategies (portfo-lio rules), distributing their wealth between...