TY  - BOOK
AU  - Haag,Günter
TI  - Modelling with the Master Equation: Solution Methods and Applications in Social and Natural Sciences 
SN  - 9783319603001
AV  - QA276-280 
U1  - 519.5 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Statistics 
KW  - Regional economics
KW  - Spatial economics
KW  - Emigration and immigration
KW  - Game theory
KW  - Chemometrics
KW  - Statistical physics
KW  - Dynamical systems
KW  - Statistics for Social Sciences, Humanities, Law
KW  - Regional/Spatial Science
KW  - Migration
KW  - Game Theory, Economics, Social and Behav. Sciences
KW  - Math. Applications in Chemistry
KW  - Complex Systems
N1  - Preface -- 1 Introduction -- 2 Statistical Fundamentals -- 3 Derivation of the Chapman-Kolmogorov Equation and the Master Equation -- 4 Solution Methods of Master Equations -- 5 Some Applications in Physics and Chemistry -- 6 The Master Equation in Dynamic Decision Theory -- 7 Applications in Population Dynamics -- 8 Migration -- 9 Urban Dynamics and Transport
N2  - This book presents the theory and practical applications of the Master equation approach, which provides a powerful general framework for model building in a variety of disciplines. The aim of the book is to not only highlight different mathematical solution methods, but also reveal their potential by means of practical examples. Part I of the book, which can be used as a toolbox, introduces selected statistical fundamentals and solution methods for the Master equation. In Part II and Part III, the Master equation approach is applied to important applications in the natural and social sciences. The case studies presented mainly hail from the social sciences, including urban and regional dynamics, population dynamics, dynamic decision theory, opinion formation and traffic dynamics; however, some applications from physics and chemistry are treated as well, underlining the interdisciplinary modelling potential of the Master equation approach. Drawing upon the author’s extensive teaching and research experience and consulting work, the book offers a valuable guide for researchers, graduate students and professionals alike
UR  - https://doi.org/10.1007/978-3-319-60300-1
ER  -