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- Acknowledgements
- Contents
- Contributors
- Chapter 1: Introduction to the Mathematical Modeling of Social Relationships
- 1.1 Mathematics: From Physics to Biology to Social Science
- 1.2 Mathematical Models: The Good News and the Bad News
- 1.3 Methods
- 1.3.1 Statistics
- 1.3.2 Differential Equations: Ordinary, Integral, and Partial
- 1.3.3 Difference Equations
- 1.3.4 Self-Organizing Critical Systems
- 1.3.5 Cellular Automata
- 1.3.6 Non-equilibrium Thermodynamics: Complex Adaptive Systems
- 1.3.7 Agent-Based Modeling
- 1.3.8 Data Science: “Big Data,” “Machine Learning,” Artificial Neural Networks, and “Deep Learning”
- 1.4 Examples
- 1.5 The Chapters
- References
- Chapter 2: Dynamic Models of Social Interaction
- Chapter 3: Quantitative Video Coding of Therapist-Client Sessions
- Chapter 4: Dynamical Analysis of Therapist-Client Interactions
- Chapter 5: Modeling Psychotherapy Encounters: Rupture and Repair
- Chapter 6: Mathematical Models as Tools for Understanding the Dynamics of Cooperation and Conflict
- Chapter 7: A Dynamical Approach to Conflict Management in Teams
- Chapter 8: Modeling the Dynamics of Sustainable Peace
- 8.1 Sustaining Peace Is a Lot more than Just Ending War
- 8.2 The Sustaining Peace Mapping Project
- 8.3 Mathematical Model of the Causal Loop Diagram of Sustainable Peace
- 8.4 Initial Results from a Mathematical Model of one Segment of the Causal Loop Diagram
- 8.5 Future Directions
- 8.6 Other Applications of this Mathematical Model
- References
- Chapter 9: Capital in the First Century: The Evolution of Inequality in Ancient Maya Society
- Chapter 10: Can the Nash Equilibrium Predict the Outcomes of Military Battles?
- Chapter 11: Future Directions in the Mathematical Modeling of Social Relationships
- Index
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