A self-consistent mean field theory is presented for the effective response in random mixtures consisting of components with power law J-E relations of the form J = χ|E|βE, where J is the current density and E is the electric field. The nonlinear conductors are treated as conductors with a...

We present results for the so-called “bar-attendance” model of market behavior: p adaptive agents, each possessing n prediction rules chosen randomly from a pool, attempt to attend a bar whose cut-off is s. The global attendance time series has a mean near, but not equal to, s. The variance,...

We propose and study a modified version of the evolutionary minority game consisting of a competing population. Agents in the population are repeatedly competing to be in a minority and they have a common strategy. Each agent has a parameter p characterizing the probability that she is following...

Inspired by Pythagoras's belief that numbers represent the reality, we study the topological properties of networks of composite numbers, in which the vertices represent the numbers and two vertices are connected if and only if there exists a divisibility relation between them. The network has a...

Effects of local information transmission and imitation among agents in an evolving population consisting of agents competing for limited resources are studied numerically through a model based on the evolutionary minority game (EMG). Enhanced cooperation is found to result from an effective...

We study the competition and strategy selections between a class of generalized zero-determinant (ZD) strategies and the classic strategies of always cooperate (AllC), always defect (AllD), tit-for-tat (TFT), and win-stay-lose-shift (WSLS) strategies in an iterated prisoner’s dilemma...

We generalize the N-person evolutionary snowdrift game to incorporate the effects of costly punishment in a well-mixed population. A set of dynamical equations that account for the evolution of the frequencies of the three strategies under replicator dynamics is formulated. At long time, the...

It has been widely accepted that there exist investors who adopt momentum strategies in real stock markets. Understanding the momentum behavior is of both academic and practical importance. For this purpose, we propose and study a simple agent-based model of trading incorporating momentum...

We study the time evolution of cooperation in a recently proposed N-person evolutionary snowdrift game, by focusing on the details of the evolutionary dynamics. It is found that the analytic solution for the equilibrium fraction of cooperators as given previously by the replicator dynamics stems...

We conducted a study on a recently proposed model in which an odd number of agents are competing to be in the minority. In the model, the agents have one strategy in hand which is to follow the most recent history. Each agent is also assigned a value p, which is the probability that an agent...