Dynamic stochastic capacity pricing for resource allocation

Following the view point of evolutionary dynamics, we have built a multi-agent system to study the emergence and disappearance of replicators in a heterogeneous network of resources. The class of systems we are looking at are systems facing structural uncertainties (supply structure and growth, concentration level, substitute products, etc.). In our 2002 approach, resources are modeled as strategies, and agents distribute processing requirements onto resources using imperfect information and local decision making. Although our agents are endowed with bounded rationality (R. Gertner et al., 1999), they still have to face the challenge of dealing with imperfect understanding of the feedback structure from resources which use unintentionally rational heuristics to set resource unit prices. Our intent is to achieve cooperative equilibrium using competitive dynamics by controlling congestion through capacity pricing. To achieve this, we have relaxed Olafsson's model and built into it a distributed differentiate pricing scheme to improve loose coupling between agents and resources. In this paper, we explore its dynamics from the perspective of both agents and resources.