Mathematical Modeling of Social Relationships

Description

This edited volume presents examples of social science research projects that employ new methods of quantitative analysis and mathematical modeling of social processes. This book presents the fascinating areas of empirical and theoretical investigations that use formal mathematics in a way that is accessible for individuals lacking extensive expertise but still desiring to expand their scope of research methodology and add to their data analysis toolbox. Mathematical Modeling of Social Relationships professes how mathematical modeling can help us understand the fundamental, compelling, and yet sometimes complicated concepts that arise in the social sciences. This volume will appeal to upper-level students and researchers in a broad area of fields within the social sciences, as well as the disciplines of social psychology, complex systems, and applied mathematics. Front Matter ....Pages i-x Introduction to the Mathematical Modeling of Social Relationships (Urszula Strawinska-Zanko, Larry S. Liebovitch)....Pages 1-15 Dynamic Models of Social Interaction (John M. Gottman, Paul R. Peluso)....Pages 17-29 Quantitative Video Coding of Therapist-Client Sessions (Paul R. Peluso, Patricia Diaz, Gabriella Tabib)....Pages 31-50 Dynamical Analysis of Therapist-Client Interactions (Paul R. Peluso, Andrew Z. Baker, Ashley Sauer, Jennifer P. Peluso)....Pages 51-68 Modeling Psychotherapy Encounters: Rupture and Repair (Urszula Strawinska-Zanko, Larry S. Liebovitch, Paul R. Peluso)....Pages 69-88 Mathematical Models as Tools for Understanding the Dynamics of Cooperation and Conflict (Jay L. Michaels)....Pages 89-118 A Dynamical Approach to Conflict Management in Teams ((Rae) Yunzi Tan, Jay L. Michaels, Urszula Strawinska-Zanko)....Pages 119-146 Modeling the Dynamics of Sustainable Peace (Larry S. Liebovitch, Peter T. Coleman, David Futran, Devin Lee, Tamar Lichter, Nicholas Burgess et al.)....Pages 147-159 Capital in the First Century: The Evolution of Inequality in Ancient Maya Society (Urszula Strawinska-Zanko, Larry S. Liebovitch, April Watson, Clifford T. Brown)....Pages 161-192 Can the Nash Equilibrium Predict the Outcomes of Military Battles? (Celine C. Ripla, Larry S. Liebovitch)....Pages 193-211 Future Directions in the Mathematical Modeling of Social Relationships (Larry S. Liebovitch, Urszula Strawinska-Zanko)....Pages 213-217 Back Matter ....Pages 219-222