Kinetic Description of Social Dynamics: From Consensus to Flocking

Agent based simulations for Chip sales to High-End Gamers

Dieter Armbruster

Arizona State University

The sales of computer chips in the High- End Gamers market are simulated using an agent based simulation environment. We model the succession of 19 products introduced over a 40 month time horizon which includes the recession of 2008 - 2010. Simulated sales are compared to actual sales data and are used to adjust the parameterization of the agents and their environment. A kinetic model is developed that allows a scaling analysis reducing the set of parameters to two dimensionless constants. Simulations of the resulting PDEs show pattern formation and synchronization of the buying behavior from random initial conditions.
Joint work with Christian Ringhofer, Andee Thatcher