Limit search to available items
Book Cover
E-book
Author Helbing, Dirk.

Title Quantitative sociodynamics : stochastic methods and models of social interaction processes / Dirk Helbing
Edition 2nd ed
Published Berlin ; London : Springer, 2010

Copies

Description 1 online resource
Contents Note continued: 3.4.1. Stationary Solution and Detailed Balance -- 3.4.2. Time-Dependent Solution -- 3.4.3. 'Path Integral' Solution -- 3.5. Mean Value and Covariance Equations -- 4. BOLTZMANN-Like Equations -- 4.1. Introduction -- 4.2. Derivation -- 4.3. Subdivision into Several Types of Subsystems -- 4.4. Properties -- 4.4.1. Non-negativity and Normalization -- 4.4.2. Gaskinetic BOLTZMANN Equation -- 4.4.3. H-Theorem for the Gaskinetic BOLTZMANN Equation -- 4.4.4. Solution of the Gaskinetic BOLTZMANN Equation -- 4.5. Comparison of Spontaneous Transitions and Direct Interactions -- 4.5.1. Transitions Induced by Interactions -- 4.5.2. Exponential Function and Logistic Equation -- 4.5.3. Stationary and Oscillatory Solutions -- 5. Master Equation in Configuration Space -- 5.1. Introduction -- 5.2. Transitions in Configuration Space -- 5.2.1. Spontaneous Transitions
Note continued: 7. LANGEVIN Equations and Non-linear Dynamics -- 7.1. Introduction -- 7.2. Derivation -- 7.3. Escape Time -- 7.4. Phase Transitions, LIAPUNOV Exponents, and Critical Phenomena -- 7.5. Routes to Chaos -- 7.5.1. RUELLE-TAKENS-NEWHOUSE Scenario and LIAPUNOV Exponents -- 7.5.2. Period Doubling Scenario and Power Spectra -- 8. Problems and Terminology -- 8.1. Terms -- 8.1.1. System and Subsystems -- 8.1.2. State -- 8.1.3. Subpopulation -- 8.1.4. Socioconfiguration -- 8.1.5. Interaction -- 8.2. Problems with Modelling Social Processes -- 8.2.1. Complexity -- 8.2.2. Individuality -- 8.2.3. Stochasticity and Disturbances -- 8.2.4. Decisions and Freedom of Decision-Making -- 8.2.5. Experimental Problems -- 8.2.6. Measurement of Behaviours -- 8.3. Summary -- 9. Decision Theoretical Specification of the Transition Rates -- 9.1. Introduction -- 9.2. Derivation -- 9.2.1. Multinomial Logit Model -- 9.2.2. Entropy Maximization -- 9.2.3. FECHNER'S Law -- 9.2.4. Utility and Distance Function -- 9.3. Pair Interaction Rates -- 9.3.1. Special Applications in the Social Sciences -- 9.4. Properties of the Utility Approach -- 9.4.1. Stationary Distribution -- 9.4.2. Contributions to the Utility Function -- 10. Opinion Formation Models -- 10.1. Introduction -- 10.2. Indirect Interactions -- 10.2.1. Period Doubling Route to Chaos -- 10.2.2. RUELLE-TAKENS-NEWHOUSE Route to Chaos -- 10.3. Direct Pair Interactions -- 10.3.1. Kinds of Pair Interactions -- 10.3.2. Oscillations -- 10.3.3. Influence of the Interaction Frequencies -- 10.3.4. Period Doubling Scenarios and Chaos -- 10.4. Generalizations -- 10.5. Spatial Spreading of Opinions -- 10.5.1. Opinion Spreading by Diffusion -- 10.5.2. Opinion Spreading by Telecommunication -- 11. Social Fields and Social Forces -- 11.1. Introduction -- 11.2. Derivation
Note continued: 11.3. Social Force Model -- 11.3.1. Comparison with LEWIN's 'Social Field Theory' -- 11.4. Computer Simulations -- 11.4.1. Imitative Processes -- 11.4.2. Avoidance Processes -- 12. Evolutionary Game Theory -- 12.1. Introduction -- 12.2. Derivation of the Game Dynamical Equations -- 12.2.1. Payoff Matrix and Expected Success -- 12.2.2. Customary Derivation -- 12.2.3. Fields of Application -- 12.2.4. Derivation from the BourzmANN-Like Equations -- 12.3. Properties of Game Dynamical Equations -- 12.3.1. Non-negativity and Normalization -- 12.3.2. Formal Solution -- 12.3.3. Increase of the Average Expected Success in Symmetrical Games -- 12.3.4. Invariant of Motion for Antisymmetrical Games -- 12.3.5. Interrelation with the LOTKA-VOLTERRA Equations -- 12.3.6. Limit Cycles and Chaos -- 12.4. Stochastic Version of the Game Dynamical Equations -- 12.4.1. Self-Organization of Behavioural Conventions for the Case of Two Equivalent Competing Strategies -- 13. Determination of the Model Parameters from Empirical Data -- 13.1. Introduction -- 13.2. Case of Complete Data -- 13.3. Case of Incomplete Data -- 13.3.1. Parameter Estimation -- 13.3.2. Model Reduction -- 13.4. Migration in West Germany -- 13.4.1. First Model Reduction -- 13.4.2. Second Model Reduction -- 13.4.3. Comparison of the WEIDLICH-HAAG Model and the Generalized Gravity Model -- 13.4.4. Third Model Reduction -- 13.5. Evaluation of Empirically Obtained Results -- 13.5.1. Sensitivity Analysis -- 13.5.2. Decomposition of the Utility Functions with Respect to Explanatory Variables -- 13.5.3. Prognoses -- 13.6. Examples for Decompositions of Utility Functions -- 13.6.1. Purchase Pattern -- 13.6.2. Voting Behaviour -- 13.6.3. Gaps in the Market and Foundations of New Parties
Summary This new edition of Quantitative Sociodynamics presents a general strategy for interdisciplinary model building and its application to a quantitative description of behavioral changes based on social interaction processes. Originally, the crucial methods for the modeling of complex systems (stochastic methods and nonlinear dynamics) were developed in physics and mathematics, but they have very often proven their explanatory power in chemistry, biology, economics and the social sciences as well. Quantitative Sociodynamics provides a unified and comprehensive overview of the different stochastic methods, their interrelations and properties. In addition, it introduces important concepts from nonlinear dynamics (e.g. synergetics, chaos theory). The applicability of these fascinating concepts to social phenomena is carefully discussed. By incorporating decision-theoretical approaches, a fundamental dynamic model is obtained, which opens new perspectives in the social sciences. It includes many established models as special cases, e.g. the logistic equation, the gravity model, some diffusion models, evolutionary game theory¡and social field theory. Moreover, it implies numerous new results and is relevant for various application areas, such as opinion formation, migration, the self-organization¡of behavioral conventions, and the behavior of customers and voters.¡Theoretical results are complemented and illustrated by numerous computer simulations. Quantitative Sociodynamics is relevant both for social scientists and natural scientists who are interested in the application of stochastic and synergetics concepts to interdisciplinary topics.¡
Notes Previous edition: Dordrecht; London: Kluwer Academic, 1995
Includes index
Bibliography Includes bibliographical references and index
Notes Print version record
In Springer eBooks
Subject Social interaction -- Mathematical models
Stochastic processes.
Distribution (Probability theory)
Mathematics.
Social sciences.
distribution (statistics-related concept)
mathematics.
applied mathematics.
social sciences.
PSYCHOLOGY -- Social Psychology.
Physique.
Procesos estocásticos
Matemáticas
Social interaction -- Mathematical models
Stochastic processes
Sozialer Prozess
Mathematisches Modell
Genre/Form dissertations.
Academic theses
Academic theses.
Thèses et écrits académiques.
Form Electronic book
LC no. 2010936007
ISBN 9783642115462
3642115462
9783642115455
3642115454