Dynamic Models of the Firm [electronic resource] : Determining Optimal Investment, Financing and Production Policies by Computer /
1 Introduction -- 2 Mathematical Background to Dynamic Optimization -- 2.1 Introduction -- 2.2 Analytical approach to the optimization problem -- 2.3 Numerical approach to the optimization problem -- 2.4 Economic interpretation of the adjoint variables -- 2.5 General procedure -- 3 The Basic Model -- 3.1 Introduction -- 3.2 The model and its assumptions -- 3.3 Examination of the paths -- 3.4 Case study -- 3.5 Conclusions -- 4 A Model with Start-up Costs -- 4.1 Introduction -- 4.2 The model and its assumptions -- 4.3 Examination of the paths -- 4.4 Case study -- 4.5 Conclusions -- 5 Models with a Business Cycle -- 5.1 Introduction -- 5.2 The basic model -- 5.3 A model with a variable utilization rate -- 5.4 A model with a cash balance -- 5.5 A model with an inventory of finished goods -- 5.6 Conclusions -- 6 A Model with Increasing Returns to Scale, an Experience Curve and a Production Life Cycle -- 6.1 Introduction -- 6.2 Description of the model -- 6.3 Case study -- 6.4 Conclusions -- Appendices -- A Mathematical Details for Chapter 3 -- A.1 Problem formulation -- A.2 Necessary conditions for optimality -- A.3 Elaborating the transversality conditions -- A.4 Further examination of some paths -- B Mathematical Details for Chapter 4 -- B.1 Problem formulation -- B.2 Necessary conditions for optimality -- B.3 Elaborating the transversality conditions -- B.4 Further examination of some paths -- C Mathematical Details for Chapter 5 -- C.1 The basic model -- C.1.1 Determining the coupling points for Subsection 5.2.2 -- C.1.2 Determining the coupling points for Subsection 5.2.3 -- C.1.3 Deriving relationships (5.22) and (5.27) -- C.1.4 Determining the coupling points for Subsection 5.2.4 -- C.l.5 Determining the coupling points for Subsection 5.2.5 -- C.1.6 Deriving relationships (5.45) and (5.49) -- C.2 A model with a variable utilization rate -- C.2.1 Necessary conditions for optimality -- C.2.2 Further examination of some paths -- C.2.3 Determining the coupling points for Subsection 5.3.2 -- C.2.4 Determining the coupling points for Subsection 5.3.3 -- C.2.5 Determining the coupling points for Subsection 5.3.4 -- C.3 A model with a cash balance -- C.3.1 Necessary conditions for optimality -- C.3.2 Further examination of some paths -- C.3.3 Determining the coupling points for Subsection 5.4.2 -- C.3.4 Determining the coupling points for Subsection 5.4.3 -- C.3.5 Determining the coupling points for Subsection 5.4.5 -- C.4 A model with an inventory of finished goods -- C.4.1 Necessary conditions for optimality -- C.4.2 Further examination of some paths -- C.4.3 Determining the coupling points for Subsection 5.5.2 -- C.4.4 Determining the coupling points for Subsection 5.5.3 -- D Mathematical Details for Chapter 6 -- D.1 Necessary conditions for optimality -- Symbols and Notation -- Summary.
Main Authors: | , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg,
1996
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Subjects: | Business., Management science., Organization., Planning., Economic theory., Business and Management., Business and Management, general., Economic Theory/Quantitative Economics/Mathematical Methods., |
Online Access: | http://dx.doi.org/10.1007/978-3-642-48401-8 |
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Summary: | 1 Introduction -- 2 Mathematical Background to Dynamic Optimization -- 2.1 Introduction -- 2.2 Analytical approach to the optimization problem -- 2.3 Numerical approach to the optimization problem -- 2.4 Economic interpretation of the adjoint variables -- 2.5 General procedure -- 3 The Basic Model -- 3.1 Introduction -- 3.2 The model and its assumptions -- 3.3 Examination of the paths -- 3.4 Case study -- 3.5 Conclusions -- 4 A Model with Start-up Costs -- 4.1 Introduction -- 4.2 The model and its assumptions -- 4.3 Examination of the paths -- 4.4 Case study -- 4.5 Conclusions -- 5 Models with a Business Cycle -- 5.1 Introduction -- 5.2 The basic model -- 5.3 A model with a variable utilization rate -- 5.4 A model with a cash balance -- 5.5 A model with an inventory of finished goods -- 5.6 Conclusions -- 6 A Model with Increasing Returns to Scale, an Experience Curve and a Production Life Cycle -- 6.1 Introduction -- 6.2 Description of the model -- 6.3 Case study -- 6.4 Conclusions -- Appendices -- A Mathematical Details for Chapter 3 -- A.1 Problem formulation -- A.2 Necessary conditions for optimality -- A.3 Elaborating the transversality conditions -- A.4 Further examination of some paths -- B Mathematical Details for Chapter 4 -- B.1 Problem formulation -- B.2 Necessary conditions for optimality -- B.3 Elaborating the transversality conditions -- B.4 Further examination of some paths -- C Mathematical Details for Chapter 5 -- C.1 The basic model -- C.1.1 Determining the coupling points for Subsection 5.2.2 -- C.1.2 Determining the coupling points for Subsection 5.2.3 -- C.1.3 Deriving relationships (5.22) and (5.27) -- C.1.4 Determining the coupling points for Subsection 5.2.4 -- C.l.5 Determining the coupling points for Subsection 5.2.5 -- C.1.6 Deriving relationships (5.45) and (5.49) -- C.2 A model with a variable utilization rate -- C.2.1 Necessary conditions for optimality -- C.2.2 Further examination of some paths -- C.2.3 Determining the coupling points for Subsection 5.3.2 -- C.2.4 Determining the coupling points for Subsection 5.3.3 -- C.2.5 Determining the coupling points for Subsection 5.3.4 -- C.3 A model with a cash balance -- C.3.1 Necessary conditions for optimality -- C.3.2 Further examination of some paths -- C.3.3 Determining the coupling points for Subsection 5.4.2 -- C.3.4 Determining the coupling points for Subsection 5.4.3 -- C.3.5 Determining the coupling points for Subsection 5.4.5 -- C.4 A model with an inventory of finished goods -- C.4.1 Necessary conditions for optimality -- C.4.2 Further examination of some paths -- C.4.3 Determining the coupling points for Subsection 5.5.2 -- C.4.4 Determining the coupling points for Subsection 5.5.3 -- D Mathematical Details for Chapter 6 -- D.1 Necessary conditions for optimality -- Symbols and Notation -- Summary. |
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