Language:
English
Pages:
96 S.
,
Ill.
Series Statement:
Quantitative applications in the social sciences 27
Series Statement:
Sage university papers
Series Statement:
Sage University papers / Quantitative applications in the social sciences
DDC:
301
Keywords:
Social sciences Mathematical models
;
Models and modelmaking
;
Social processes. Mathematical models
;
Statistische Methodenlehre
;
Mathematisches Modell
Abstract:
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
Description / Table of 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.
Note:
Literaturverz. S. 92 - 95
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