| Description |
1 online resource (96 pages) : illustrations |
| Series |
Sage university papers. Quantitative applications in the social sciences ; no. 07-027 |
|
Quantitative applications in the social sciences ; no. 07-027
|
| Contents |
1. Dynamic models and social change -- Difference equations as representations of change -- Synchronic versus diachronic change -- Dynamic models and other models of change -- The structure of the presentation -- 2. First-order linear difference equation models: a model of the mobilization process -- A first dynamic model: the gain/loss formulation -- Difference equations as representative of change -- Solutions to first-order difference equations -- Equilibrium and stability -- Substantive applications -- Model estimation -- Summary -- 3. First-order nonlinear difference equations: Processes of social diffusion -- Mobilization through social interaction -- A diffusion model -- Parameter restrictions -- Model estimation -- An empirical example -- Analyzing the model -- Equilibrium analysis -- Local stability analysis -- Global stability for quadratic recursive forms -- Summary -- 4. Linear systems and higher-order equations: arms races and feedback processes -- Higher-order models -- The Richardson arms race model -- Arriving at a second-order reduced form -- Putting the arms race in matrix notation -- Finding the system equilibrium -- Solutions for higher-order systems -- Putting the solution to work -- Stability conditions -- The geometry of stability: an alternative approach -- Feedback time delay as a destabilizing influence -- Summary -- 5. Nonlinear dynamic systems: budgetary competition -- Incrementalism -- Competitive models of budgetary interaction -- The logic of competition -- Model 1: Unrestrained budgetary competition -- Model 2: Restricted competition -- Conclusion -- 6. Dynamic modeling as a scientific enterprise -- An overview of model structure -- Multiple and interdependent system states -- Structural parameters -- System properties -- Steps in model development |
| Summary |
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 |
| Analysis |
Social processes Mathematical models |
| Bibliography |
Includes bibliographical references (pages 92-96) |
| Notes |
Print version record |
| Subject |
Models and modelmaking.
|
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Social sciences -- Mathematical models.
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| Form |
Electronic book
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| Author |
Kohfeld, C. W.
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|
Likens, Thomas W.
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| ISBN |
0585216819 (electronic bk.) |
|
1412983991 (electronic bk.) |
|
9780585216812 (electronic bk.) |
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9781412983990 (electronic bk.) |
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