The population dynamics of macromolecules that reproduce by means of template-directed ligation of two fragments are shown to be represented by a replicator equation with a special non-linear response function. This result is obtained through detailed consideration of the mechanism of ligation...

The theory of autocatalytic binary ligation is reviewed within the context of a rigorously applied Michaelis-Menten quasi-steady-state approximation to obtain explicit analytical results describing time-course data from experiments. A detailed protocol for the step-wise elucidation of a minimal...

In this paper we build a spatial, aspiration-based model of learning in the context of Cournot oligopoly from which we want to explore the conditions that lead to the emergence of cooperation among firms. We consider an economy consisting of many identical duopolies; each duopoly is placed on a...

The paper discusses the role of self-organizing phenomena like emergence of infrastructure and self-organizing criticality in a spatial economy. Some theoretical models are discussed and reviewed. Computer models in the form of simple cellular automata, similar to the game "Life" and Schelling's...

This paper investigates the properties of a local economy in which personal connections are important in finding jobs. The complementarities in the model generate an interesting nonlinear relationship between the distribution of human capital in the economy, the characteristics of the social...

In Part I we provide a heuristic discussion of the motivation for the investigation of games of status. Here we confine our remarks to several alternative formulations of games of status and to exploring the relationship between these games and the class of simple games, in part using the...

The random graph of Erdos and Renyi is one of the oldest and best studied models of a network, and possesses the considerable advantage of being exactly solvable for many of its average properties. However, as a model of real-world networks such as the Internet, social networks or biological...

We are interested in the strategic implications of asymmetric competition. Previous work (Carpenter, Cooper, Hanssens and Midgley [CCHM] 1988) has estimated the Nash-equilibrium prices and advertising expenditures for asymmetric market-share models in the extreme cases of no competitive reaction...