The rational expectations equilibrium has been criticized as an equilibrium concept in market game environments. Such an equilibrium may not exist generically, or it may introduce unrealistic assumptions about an economic agent's knowledge or computational ability. We define a rational...

A distributed system model is studied, where individual agents play repeatedly against each other and change their strategies based upon previous play. It is shown how to model this environment in terms of continuous population densities of agent types. A complication arises because the...

We consider a kinetic equation approach to dynamical systems with finite memory, based upon a probabilistic approach given in Dorofeenko and Shorish (2004). This approach uses a master equation methodology to analytically model the dynamics of distributed systems with many heterogeneous agents,...