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catalog contributor b12401859.
catalog created "2002.".
catalog date "2000".
catalog date "2002.".
catalog dateCopyrighted "2002.".
catalog description "113 -- 5 Group Dynamics: The Rise and Fall of Interacting Social Groups 115 -- 5.2 Design of the Model 119 -- 5.2.1 Key-Variables 119 -- 5.2.2 Transition Rates 123 -- 5.2.3 Structure of the Motivation Potentials 127 -- 5.2.4 Quasi-Meanvalue Equations 133 -- 5.3 Simulation and Interpretation of Selected Scenarios 137 -- 5.3.1 Competitively Interacting Groups 137 -- 5.3.2 Political Parties with Reciprocal Undermining Activity 139 -- 6 Opinion Formation on the Verge of Political Phase-Transitions 149 -- 6.1 Remarks about Phase-Transitions between Liberal and Totalitarian Political Systems 150 -- 6.1.1 Some Features of Developed Liberal and Totalitarian Systems 150 -- 6.1.2 Phase-Transition Concept versus the Continuity-Hypothesis 154 -- 6.1.3 Political Psychology at a Phase-Transition 155 -- 6.1.4 Seizure of Power by Hitler as a Paradigm of a Political Phase-Transition 158 -- 6.2".
catalog description "204 -- 7 Quality Competition between High-Tech Firms 209 -- 7.1 Lines of Model Design 209 -- 7.2 General Model of L Competing Firms 210 -- 7.2.1 Variables and Transition Rates 210 -- 7.2.2 Dynamic Equations 216 -- 7.3 Caset of Two Competing Firms 218 -- 7.3.1 "Slaving Principle" and the Transition to Equations for Order Parameters 219 -- 7.3.2 Analysis of Stationary Solutions and their Stability 222 -- 7.3.3 Numerical Solutions of the Quasi-meanvalue Equations 226 -- 7.4 Truncated Master Equations for the Two Firms Case 229 -- 7.4.1 Derivation of Reduced and Decoupled Master Equations 229 -- 7.4.2 Numerical Evaluation of Stationary Distributions 232 -- 8 Dynamics of Conventional and Fashion Demand 235 -- 8.1 Lines of Model Design 235 -- 8.2 General Model 236 -- 8.2.1 Variables, Dynamic Utilities and Transition Rates 236 -- 8.2.2 Dynamic Equations 241 -- 8.2.3".
catalog description "An Exactly Solvable Example for Meanvalue- and Variance-Equations 350 -- 12 Stochastic Trajectories and Dynamic Equations for Quasi-Meanvalues 355 -- 12.1 Stochastic Trajectories and their Relation to the Probability Distribution 355 -- 12.2 Quasi-Meanvalues, their Dynamic Equations and their Relation to Stochastic Trajectories 359 -- References and Related Literature 363.".
catalog description "Equations of Evolution for the Macrovariables 57 -- Part II Selected Applications -- II.1 Application to Population Dynamics 65 -- 4 Migration of Interacting Populations 67 -- 4.1 Multiculturality and Migration 67 -- 4.1.1 Forms of Multiculturality and their Valuation 67 -- 4.1.2 Migratory Trends and their Multicultural and Socio-Economic Reasons 75 -- 4.2 General Interregional Migratory Model 77 -- 4.3 Case of Two Interacting Populations in Two Regions 81 -- 4.3.1 Specialized Form of the Evolution Equations 81 -- 4.3.2 Linear Stability Analysis 85 -- 4.3.3 Scenario-Simulations 87 -- 4.4 Deterministic Chaos in Migratory System 96 -- 4.5 Concrete Applications of Migration Theory 104 -- 4.5.1 Determination of Regional Utilities and Interregional Mobilities from Empirical Data 105 -- 4.5.2 Dependence of Regional Utilities on Socio-Economic Key-Factors 109 -- II.2 Applications to Sociology".
catalog description "Includes bibliographical references (p. 363-370) and indexes.".
catalog description "Minimal Quantitative Model 160 -- 6.2.1 Justification of a "Minimal Model" 160 -- 6.2.2 Variables, Transition Rates, and Utility Functions 161 -- 6.2.3 Evolution Equations of the Minimal Model 167 -- 6.3 Analytical Considerations 169 -- 6.3.1 Symmetry of the Evolution Equations 169 -- 6.3.2 A Special Stationary Solution of the Master Equation 169 -- 6.3.3 Stability Analysis of the Stationary Point {y, x} = {0, 0} 171 -- 6.4 Simulation and Interpretation of Selected Scenarios 173 -- 6.4.1 Scenarios with Constant Trend-Parameters 174 -- 6.4.2 Scenarios with Co-Evolving Trend-Parameters 187 -- II.3 Applications to Economics 195 -- II.3.1 Introductory Remarks 195 -- II.3.1.1 Remarks on the Simplest (Neo)-Classical Approach of Economics 195 -- II.3.1.2 Necessity of an Extended Framework: The Approach of Evolutionary Economics 201 -- II.3.1.3 Contributions of Sociodynamics to Evolutionary Economics".
catalog description "Part I Structures and Modelling Concepts -- 1 Structure of Reality Under Interdisciplinary Perspective 7 -- 1.1 Systems and their Parts: The Stratification of Reality 7 -- 1.2 Towards Explanations of System Structure: Reductionism versus Holism 13 -- 1.3 General System Theory, Synergetics and Sociodynamics 18 -- 2 Quantitative Modelling in Social Science 35 -- 2.1 Necessity of Qualitative Characterisations of Social Systems 35 -- 2.2 Scope and the Limitations of Quantitative Models 36 -- 2.3 Feedback-Loop of Qualitative and Quantitative Thought 38 -- 2.4 Discussion of Critical Arguments about Quantitative Modelling in Social Science 39 -- 3 General Modelling Concept of Sociodynamics 43 -- 3.1 Modelling Purposes of Sociodynamics 43 -- 3.2 Steps of the Modelling Procedure 45 -- 3.2.1 Configuration Space of Macrovariables 45 -- 3.2.2 Elementary Dynamics 50 -- 3.2.3".
catalog description "Population Sector 278 -- 9.4.2 City Sector 287 -- Part III Mathematical Methods -- Remarks about the Choice of an Appropriate Mathematical Formalism for Modelling Social Dynamics 303 -- 10 Master Equation 307 -- 10.1 Derivation of the Master Equation 307 -- 10.2 Master Equation for the Configuration Space (Migratory and Birth/Death-Processes within Population Configurations) 313 -- 10.3 General Properties of the Solutions of the Master Equation 316 -- 10.4 An Exact Time-Dependent Solution of a Special Configurational Master Equation 323 -- 10.5 Detailed Balance and the Construction of the Solution of the Stationary Master Equation 327 -- 11 Evolution Equations for Meanvalues and Variances in Configuration Space 339 -- 11.1 Translation Operators 340 -- 11.2 Derivation of Dynamic Equations for Meanvalues and Variances 341 -- 11.3 Limits of Validity of Closed Meanvalue and Variance Equations 346 -- 11.4".
catalog description "Stationary Solutions and Stability Analysis 242 -- 8.3 Demand Dynamics for Two Consumer Groups 246 -- 8.3.1 Independent Groups with Intra-Group Interaction Only 247 -- 8.3.2 Groups with Intra- and Inter-Group Interaction 252 -- II.4 Application to Regional Science 261 -- 9 Urban Evolution and Population Pressure 263 -- 9.1 Lines of Model Design 263 -- 9.2 General Integrated Model for Urban and Population Evolution 264 -- 9.2.1 Variables of the City- and Population-Configuration 264 -- 9.2.2 Utility-Driven Transition Rates 266 -- 9.2.3 Evolution Equations 268 -- 9.3 A Concrete Implementation of the Model 270 -- 9.3.1 Tessellated City; Hinterland- and City-Population 270 -- 9.3.2 Choice of Utility Functions 271 -- 9.3.3 Choice of Capacity Distribution Functions 273 -- 9.3.4 Quasi-meanvalue Equations of the Concrete Model 276 -- 9.4 Solutions of the Concrete Model 278 -- 9.4.1".
catalog extent "xi, 380 p. :".
catalog identifier "905823049X".
catalog issued "2000".
catalog issued "2002.".
catalog language "eng".
catalog publisher "London : Taykor & Francis,".
catalog subject "300/.1/51 21".
catalog subject "H61.25 .W45 2000".
catalog subject "Social sciences Mathematical models.".
catalog tableOfContents "113 -- 5 Group Dynamics: The Rise and Fall of Interacting Social Groups 115 -- 5.2 Design of the Model 119 -- 5.2.1 Key-Variables 119 -- 5.2.2 Transition Rates 123 -- 5.2.3 Structure of the Motivation Potentials 127 -- 5.2.4 Quasi-Meanvalue Equations 133 -- 5.3 Simulation and Interpretation of Selected Scenarios 137 -- 5.3.1 Competitively Interacting Groups 137 -- 5.3.2 Political Parties with Reciprocal Undermining Activity 139 -- 6 Opinion Formation on the Verge of Political Phase-Transitions 149 -- 6.1 Remarks about Phase-Transitions between Liberal and Totalitarian Political Systems 150 -- 6.1.1 Some Features of Developed Liberal and Totalitarian Systems 150 -- 6.1.2 Phase-Transition Concept versus the Continuity-Hypothesis 154 -- 6.1.3 Political Psychology at a Phase-Transition 155 -- 6.1.4 Seizure of Power by Hitler as a Paradigm of a Political Phase-Transition 158 -- 6.2".
catalog tableOfContents "204 -- 7 Quality Competition between High-Tech Firms 209 -- 7.1 Lines of Model Design 209 -- 7.2 General Model of L Competing Firms 210 -- 7.2.1 Variables and Transition Rates 210 -- 7.2.2 Dynamic Equations 216 -- 7.3 Caset of Two Competing Firms 218 -- 7.3.1 "Slaving Principle" and the Transition to Equations for Order Parameters 219 -- 7.3.2 Analysis of Stationary Solutions and their Stability 222 -- 7.3.3 Numerical Solutions of the Quasi-meanvalue Equations 226 -- 7.4 Truncated Master Equations for the Two Firms Case 229 -- 7.4.1 Derivation of Reduced and Decoupled Master Equations 229 -- 7.4.2 Numerical Evaluation of Stationary Distributions 232 -- 8 Dynamics of Conventional and Fashion Demand 235 -- 8.1 Lines of Model Design 235 -- 8.2 General Model 236 -- 8.2.1 Variables, Dynamic Utilities and Transition Rates 236 -- 8.2.2 Dynamic Equations 241 -- 8.2.3".
catalog tableOfContents "An Exactly Solvable Example for Meanvalue- and Variance-Equations 350 -- 12 Stochastic Trajectories and Dynamic Equations for Quasi-Meanvalues 355 -- 12.1 Stochastic Trajectories and their Relation to the Probability Distribution 355 -- 12.2 Quasi-Meanvalues, their Dynamic Equations and their Relation to Stochastic Trajectories 359 -- References and Related Literature 363.".
catalog tableOfContents "Equations of Evolution for the Macrovariables 57 -- Part II Selected Applications -- II.1 Application to Population Dynamics 65 -- 4 Migration of Interacting Populations 67 -- 4.1 Multiculturality and Migration 67 -- 4.1.1 Forms of Multiculturality and their Valuation 67 -- 4.1.2 Migratory Trends and their Multicultural and Socio-Economic Reasons 75 -- 4.2 General Interregional Migratory Model 77 -- 4.3 Case of Two Interacting Populations in Two Regions 81 -- 4.3.1 Specialized Form of the Evolution Equations 81 -- 4.3.2 Linear Stability Analysis 85 -- 4.3.3 Scenario-Simulations 87 -- 4.4 Deterministic Chaos in Migratory System 96 -- 4.5 Concrete Applications of Migration Theory 104 -- 4.5.1 Determination of Regional Utilities and Interregional Mobilities from Empirical Data 105 -- 4.5.2 Dependence of Regional Utilities on Socio-Economic Key-Factors 109 -- II.2 Applications to Sociology".
catalog tableOfContents "Minimal Quantitative Model 160 -- 6.2.1 Justification of a "Minimal Model" 160 -- 6.2.2 Variables, Transition Rates, and Utility Functions 161 -- 6.2.3 Evolution Equations of the Minimal Model 167 -- 6.3 Analytical Considerations 169 -- 6.3.1 Symmetry of the Evolution Equations 169 -- 6.3.2 A Special Stationary Solution of the Master Equation 169 -- 6.3.3 Stability Analysis of the Stationary Point {y, x} = {0, 0} 171 -- 6.4 Simulation and Interpretation of Selected Scenarios 173 -- 6.4.1 Scenarios with Constant Trend-Parameters 174 -- 6.4.2 Scenarios with Co-Evolving Trend-Parameters 187 -- II.3 Applications to Economics 195 -- II.3.1 Introductory Remarks 195 -- II.3.1.1 Remarks on the Simplest (Neo)-Classical Approach of Economics 195 -- II.3.1.2 Necessity of an Extended Framework: The Approach of Evolutionary Economics 201 -- II.3.1.3 Contributions of Sociodynamics to Evolutionary Economics".
catalog tableOfContents "Part I Structures and Modelling Concepts -- 1 Structure of Reality Under Interdisciplinary Perspective 7 -- 1.1 Systems and their Parts: The Stratification of Reality 7 -- 1.2 Towards Explanations of System Structure: Reductionism versus Holism 13 -- 1.3 General System Theory, Synergetics and Sociodynamics 18 -- 2 Quantitative Modelling in Social Science 35 -- 2.1 Necessity of Qualitative Characterisations of Social Systems 35 -- 2.2 Scope and the Limitations of Quantitative Models 36 -- 2.3 Feedback-Loop of Qualitative and Quantitative Thought 38 -- 2.4 Discussion of Critical Arguments about Quantitative Modelling in Social Science 39 -- 3 General Modelling Concept of Sociodynamics 43 -- 3.1 Modelling Purposes of Sociodynamics 43 -- 3.2 Steps of the Modelling Procedure 45 -- 3.2.1 Configuration Space of Macrovariables 45 -- 3.2.2 Elementary Dynamics 50 -- 3.2.3".
catalog tableOfContents "Population Sector 278 -- 9.4.2 City Sector 287 -- Part III Mathematical Methods -- Remarks about the Choice of an Appropriate Mathematical Formalism for Modelling Social Dynamics 303 -- 10 Master Equation 307 -- 10.1 Derivation of the Master Equation 307 -- 10.2 Master Equation for the Configuration Space (Migratory and Birth/Death-Processes within Population Configurations) 313 -- 10.3 General Properties of the Solutions of the Master Equation 316 -- 10.4 An Exact Time-Dependent Solution of a Special Configurational Master Equation 323 -- 10.5 Detailed Balance and the Construction of the Solution of the Stationary Master Equation 327 -- 11 Evolution Equations for Meanvalues and Variances in Configuration Space 339 -- 11.1 Translation Operators 340 -- 11.2 Derivation of Dynamic Equations for Meanvalues and Variances 341 -- 11.3 Limits of Validity of Closed Meanvalue and Variance Equations 346 -- 11.4".
catalog tableOfContents "Stationary Solutions and Stability Analysis 242 -- 8.3 Demand Dynamics for Two Consumer Groups 246 -- 8.3.1 Independent Groups with Intra-Group Interaction Only 247 -- 8.3.2 Groups with Intra- and Inter-Group Interaction 252 -- II.4 Application to Regional Science 261 -- 9 Urban Evolution and Population Pressure 263 -- 9.1 Lines of Model Design 263 -- 9.2 General Integrated Model for Urban and Population Evolution 264 -- 9.2.1 Variables of the City- and Population-Configuration 264 -- 9.2.2 Utility-Driven Transition Rates 266 -- 9.2.3 Evolution Equations 268 -- 9.3 A Concrete Implementation of the Model 270 -- 9.3.1 Tessellated City; Hinterland- and City-Population 270 -- 9.3.2 Choice of Utility Functions 271 -- 9.3.3 Choice of Capacity Distribution Functions 273 -- 9.3.4 Quasi-meanvalue Equations of the Concrete Model 276 -- 9.4 Solutions of the Concrete Model 278 -- 9.4.1".
catalog title "Sociodynamics : a systematic approach to mathematical modelling in the social sciences / Wolfgang Weidlich.".
catalog type "text".