Markov Chain Aggregation for Agent-Based Models

• Main Author: Banisch, Sven (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Understanding Complex Systems,
• Subjects: Physics.; System theory.; Complexity, Computational.; Applications of Nonlinear Dynamics and Chaos Theory.; Complex Systems.; Mathematical Methods in Physics.; Complexity.

This self-contained text develops a Markov chain approach that makes the rigorous analysis of a class of microscopic models that specify the dynamics of complex systems at the individual level possible. It presents a general framework of aggregation in agent-based and related computational models, o...

Table of Contents:

• Introduction
• Background and Concepts
• Agent-based Models as Markov Chains
• The Voter Model with Homogeneous Mixing
• From Network Symmetries to Markov Projections
• Application to the Contrarian Voter Model
• Information-Theoretic Measures for the Non-Markovian Case
• Overlapping Versus Non-Overlapping Generations
• Aggretion and Emergence: A Synthesis
• Conclusion.