Dynamic Modeling

An Introduction

By: Robert Huckfeldt, C. W. Kohfeld, John L. Sullivan (Introduction by)

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Paperback | 1 October 1982

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100 Pages

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21.59 x 13.97 x 0.61

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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

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Non-Fiction Mathematics Probability & Statistics Sociology & Anthropology Sociology Social Research & Statistics Applied Mathematics

Series Editor's Introduction	p. 5
Acknowledgments	p. 6
Dynamic Models and Social Change	p. 7
Difference Equations as Representations of Change	p. 7
Synchronic versus Diachronic Change	p. 9
Dynamic Models and Other Models of Change	p. 9
The Structure of the Presentation	p. 10
First-Order Linear Difference Equation Models: A Model of the Mobilization Process	p. 10
A First Dynamic Model: The Gain/Loss Formulation	p. 11
Difference Equations as Representative of Change	p. 14
Solutions to First-Order Difference Equations	p. 15
Equilibrium and Stability	p. 17
Substantive Applications	p. 20
Model Estimation	p. 22
Summary	p. 28
First-Order Nonlinear Difference Equations: Processes of Social Diffusion	p. 29
Mobilization Through Social Interaction	p. 29
A Diffusion Model	p. 30
Parameter Restrictions	p. 35
Model Estimation	p. 36
An Empirical Example	p. 37
Analyzing the Model	p. 38
Equilibrium Analysis	p. 39
Local Stability Analysis	p. 40
Global Stability Analysis for Quadratic Recursive Forms	p. 42
Summary	p. 44
Linear Systems and Higher-Order Equations: Arms Races and Feedback Processes	p. 45
Higher-Order Models	p. 45
The Richardson Arms Race Model	p. 46
Arriving at a Second-Order Reduced Form	p. 47
Putting the Arms Race in Matrix Notation	p. 48
Finding the System Equilibrium	p. 49
Solutions for Higher-Order Systems	p. 50
Putting the Solution to Work	p. 54
Stability Conditions	p. 55
The Geometry of Stability: An Alternative Approach	p. 56
Feedback Time Delay as a Destabilizing Influence	p. 60
Summary	p. 63
Nonlinear Dynamic Systems: Budgetary Competition	p. 65
Incrementalism	p. 65
Competitive Models of Budgetary Interaction	p. 66
The Logic of Competition	p. 68
Unrestrained Budgetary Competition	p. 70
Restricted Competition	p. 80
Conclusion	p. 81
Dynamic Modeling as a Scientific Enterprise	p. 81
An Overview of Model Structure	p. 82
Multiple and Interdependent System States	p. 83
Structural Parameters	p. 64
System Properties	p. 85
Steps in Model Development	p. 85
Appendix	p. 87
Notes	p. 91
References	p. 92
Table of Contents provided by Syndetics. All Rights Reserved.

Dynamic Modeling

An Introduction

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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