We calculate the escape rates of different dynamical processes for the case of a one-dimensional symmetric double-well potential. In particular, we compare the escape rates of a Smoluchowski process, i.e., a corresponding overdamped Brownian motion dynamics in a metastable potential landscape, with the escape rates obtained for a biologically motivated model known as the Fisher-Eigen process. T...

The n-person Prisoner's Dilemma is a widely used model for populations where individuals interact in groups. The evolutionary stability of populations has been analysed in the literature for the case where mutations in the population may be considered as isolated events. For this case, and assuming simple trigger strategies and many iterations per game, we analyse the rate of convergence to the...

Genetic algorithms (GAs) have been used widely in evolving game-playing strategies since the mid-1980's. This paper looks at a particular game | the iterated prisoner's dilemma game, which is of interest to many economists, social scientists, evolutionary computation researchers and computer scientists. The paper describes a computational approach which uses a GA to evolve strategies for the 2 ...

The present text exposes a theory of the role of disturbances in the assemblage and evolution of species within ecosystems, based principally, but not exclusively, on terrestrial ecosystems. Two groups of organisms, doted of contrasted strategies when faced with environmental disturbances, are presented, based on the classical r-K dichotomy, but enriched with more modern concepts from community...

We present a general model of stochastic evolution in games played by large populations of anonymous agents. Agents receive opportunities to revise their strategies by way of independent Poisson processes. A revision protocol describes how the probabilities with which an agent chooses each of his strategies depend on his current payoff opportunities and the current behavior of the population. O...

In this paper we consider several strategies to compete in a spatial version of the Iterated Prisoner’s Dilemma (IPD). The cell interaction is modeled by a two-dimensional square lattice, where each cell only locally interacts with its neighbors. Cell actions are public and therefore can be imitated by neighbors. The main contribution of the paper is the framework for the memetic analysis of th...

Prior work examines competitive moves in relatively stable markets. In contrast, we focus on less stable markets where competitive advantages are temporary and R&D moves are essential. Using evolutionary search theory and an experiential simulation with in-depth fieldwork, we find that the relationship between performance and subsequent competitive moves depends on the type of market, not just ...