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Optimisation in Economic Analysis.
One of the fundamental economic problems is one of making the best use of limited resources. As a result, mathematical optimisation methods play a crucial role in economic theory. Covering the use of such methods in applied and policy contexts, this book deals not only with the main techniques (line...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Hoboken :
Taylor and Francis,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half Title; Title Page; Copyright Page; Original Title Page; Original Copyright Page; Table of Contents; Preface; Introduction; 1 The Formulation of Linear Models; 1.1 Programming problems; 1.2 A first linear model: Example A; 1.3 A further model: Example B; 1.4 A third model: Example C; 1.5 Exercises; 1.6 The components of the linear model; 1.7 Slack and surplus variables; standard forms; 1.8 Exercises; 1.9 The general linear model: some notation and properties; 1.10 Some practical aspects of model-building; 2 Solving Linear Models; 2.1 Algorithms and electronic computers.
- 2.2 A graphical method of solution2.3 Exercises; 2.4 Extreme points and the iterative nature of linear programming algorithms; 2.5 Extreme points and the algorithms: some further properties; 2.6 Exercises; 2.7 Further reading; 3 Duality; 3.1 A production example: the valuation of extra supplies of inputs; 3.2 Some further properties of these valuations; 3.3 Exercises; 3.4 The dual problem for Example B; 3.5 The primal and dual problems: some general results; 3.6 Exercises; 3.7 On the use of the duality properties; 3.8 Exercises; 3.9 Further reading; 4 More Linear Models.
- 4.1 Multi-stage models4.2 The choice between alternative formulations; 4.3 Exercises; 4.4 A Ricardian economy; 4.5 Competitive equilibrium in the Ricardian economy; 4.6 An adaptation of Example A; 4.7 Exercises; 4.8 Further reading; 5 Production Theory: The Linear and Neoclassical Models; 5.1 A first comparison between the neoclassical and linear models; 5.2 Engineering economy and neoclassical production theory; 5.3 Exercises; 5.4 Activity analysis in the linear model; 5.5 Marginal product in the neoclassical analysis; 5.6 Marginal product in the linear model; 5.7 Marginal revenue product.
- 5.8 The cost function and the concept of marginal cost5.9 Marginal cost in the linear model; 5.10 Computation of these step functions for linear models; 5.11 Exercises; 5.12 Further reading; 6 Optimisation over Time; 6.1 Introduction; 6.2 Model formulation: discrete or continuous time; 6.3 A multi-period example in manufacturing; 6.4 Time discounting, and an optimisation example in continuous time; 6.5 Exercises; 6.6 The planning horizon; 6.7 The shifting planning horizon: an example; 6.8 Exercises; 6.9 Consistency in intertemporal optimisation; 6.10 Further reading.
- 7 Non-Linear Constrained Optimisation7.1 Unconstrained optimisation of non-negative variables; 7.2 Local and global optima; 7.3 Optimisation subject to equality constraints; 7.4 Exercises; 7.S Equality constraints and non-negative variables; 7.6 Exercises; 7.7 Inequality constraints: the Kuhn-Tucker conditions; 7.8 Exercises; 7.9 The Kuhn-Tucker conditions: questions of necessity and sufficiency; 7.10 Quasi-concave and quasi-convex functions; 7.11 Further reading; 8 Non-Linear and Integer Programming; 8.1 Non-linear programming: some general remarks; 8.2 Separable programming.