A mathematical analysis of collective cognitive convergence

  • Authors:
  • H. Van Dyke Parunak

  • Affiliations:
  • Ann Arbor, MI

  • Venue:
  • Proceedings of The 8th International Conference on Autonomous Agents and Multiagent Systems - Volume 1
  • Year:
  • 2009

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Abstract

Multi-agent systems are an attractive approach to modeling systems of interacting entities, but in some cases mathematical models of these systems can offer complementary benefits. We report a case study of how the two modeling methods can profitably engage one another. The system we study [12] is an agent-based simulation of how groups of interacting entities can come to think alike. Though formal analysis of most of the models in that paper is intractable, a mean field analysis can be performed for the simplest case. On the one hand, while the formal analysis captures some of the basic features of that model, other features remain analytically elusive, reinforcing the benefits of agent-based over equation-based modeling. On the other hand, the mathematical analysis draws our attention to certain interesting features of the model that we might not have considered if we had not performed it. Responsible modeling of a domain should include both approaches.