+612 9045 4394
Dynamic Modeling : An Introduction - R. Robert Huckfeldt

Paperback Published: 1st November 1982
ISBN: 9780803909465
Number Of Pages: 95

Share This Book:


RRP $48.99
Ships in 7 to 10 business days

This short monograph lays out the theory behind, and techniques for, using dynamic modelling, taking the reader through a series of increasingly complex models. At each step, examples are used to explain the process, and also to clarify specific applications of difference equation models in the social sciences.

'It is a good example of classical mathematical model building and I may well use it as a text for the course on that subject in our MSc on Quantitative Methods in the Behavioural Sciences...in general it is to be recommended.' -- Bethlem and Maudsley Gazette, Vol 31 No 2, 1983

Series Editor's Introductionp. 5
Acknowledgmentsp. 6
Dynamic Models and Social Changep. 7
Difference Equations as Representations of Changep. 7
Synchronic versus Diachronic Changep. 9
Dynamic Models and Other Models of Changep. 9
The Structure of the Presentationp. 10
First-Order Linear Difference Equation Models: A Model of the Mobilization Processp. 10
A First Dynamic Model: The Gain/Loss Formulationp. 11
Difference Equations as Representative of Changep. 14
Solutions to First-Order Difference Equationsp. 15
Equilibrium and Stabilityp. 17
Substantive Applicationsp. 20
Model Estimationp. 22
Summaryp. 28
First-Order Nonlinear Difference Equations: Processes of Social Diffusionp. 29
Mobilization Through Social Interactionp. 29
A Diffusion Modelp. 30
Parameter Restrictionsp. 35
Model Estimationp. 36
An Empirical Examplep. 37
Analyzing the Modelp. 38
Equilibrium Analysisp. 39
Local Stability Analysisp. 40
Global Stability Analysis for Quadratic Recursive Formsp. 42
Summaryp. 44
Linear Systems and Higher-Order Equations: Arms Races and Feedback Processesp. 45
Higher-Order Modelsp. 45
The Richardson Arms Race Modelp. 46
Arriving at a Second-Order Reduced Formp. 47
Putting the Arms Race in Matrix Notationp. 48
Finding the System Equilibriump. 49
Solutions for Higher-Order Systemsp. 50
Putting the Solution to Workp. 54
Stability Conditionsp. 55
The Geometry of Stability: An Alternative Approachp. 56
Feedback Time Delay as a Destabilizing Influencep. 60
Summaryp. 63
Nonlinear Dynamic Systems: Budgetary Competitionp. 65
Incrementalismp. 65
Competitive Models of Budgetary Interactionp. 66
The Logic of Competitionp. 68
Unrestrained Budgetary Competitionp. 70
Restricted Competitionp. 80
Conclusionp. 81
Dynamic Modeling as a Scientific Enterprisep. 81
An Overview of Model Structurep. 82
Multiple and Interdependent System Statesp. 83
Structural Parametersp. 64
System Propertiesp. 85
Steps in Model Developmentp. 85
Appendixp. 87
Notesp. 91
Referencesp. 92
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780803909465
ISBN-10: 0803909462
Series: Quantitative Applications in the Social Sciences
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 95
Published: 1st November 1982
Country of Publication: US
Dimensions (cm): 20.27 x 15.29  x 0.58
Weight (kg): 0.12