Models to mimic the transmission of information in financial markets are introduced. As an attempt to generate the demand process, we distinguish between dictatorship associations, where groups of agents rely on one of them to make decision, and democratic associations, where each agent takes...

Two models for random graph formation are introduced that use a set of vertices with an associated set of vectors. A random process determines whether edges will be formed or clusters of connected vertices destroyed: edge-formation between vertices with similar vectors is preferred, and cluster...

We discuss various existing models which mimic the herding effect in financial markets and introduce a new model of herding which incorporates both growth and coagulation. In this model, at each time step either (i) with probability p the system grows through the introduction of a new agent or...

We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either: (i) with probability p an incoming agent joins an existing group, or (ii) with probability 1−p...