An important puzzle in the study of complex systems is the conditions under which the aggregation of information from interacting agents results in a stable or an unstable collective outcome. We present a general framework for thinking about the stability and instability of collective outcomes...

Theoretical studies of the stability of food webs have generally not incorporated space as a contingency affecting coexistence of species. Here, I considered the importance of spatial heterogeneity on the stability of an individual-based food web model. Individual agents diffused on a lattice of...

In this paper we study the relationship between the stability of a competitive equilibrium (CE) and the price adjustment mechanism used to attain that equilibrium point. Using two specific examples, a three- commodity exchange economy with a unique competitive equilibrium (Scarf's global...

The study of learning in games encompasses two research lines: (1) explaining the aggregate stability of classes of games when players use inductive reasoning, and (2) explaining the learning rules used by actual players. We mix approaches by considering both stability and learning rules in...

A long history of dynamical analyses of food-web networks has led to important insights into the effects of complexity, omnivory and interaction strength on food-web stability. Some recent insights are based on nonlinear bioenergetic consumer-resource models that display chaotic behavior in...