A Category-Theoretic Approach to Agent-based Modeling and Simulation

Kenneth A. Lloyd, Jr.

Watt Systems Technologies, Inc.

TITLE: A Category-Theoretic Approach to Agent-based Modeling and Simulation

ABSTRACT: Category Theory represents a robust mathematical formalism for the study of systems, including system elements, coupling, structure, behavior and morphisms. These properties are also important features in the study and practice of Agent-Based Modeling and Simulation (ABMS). The purpose of this presentation is to provide a very coarse, introductory view of the application of a category-theoretic approach to ABMS, as may be applied to two, different, real-world problem domains. The frst is biomedical, involving emergent properties of inter-cellular interaction. The second is electrical power transmission and synchronization in a "smart grid". The objective is to raise awareness of and demonstrate the representation of the universal properties of this methodology.

Keywords: category theory, agent-based modeling and simulation

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