Dynamic models of the firm

Inhaltsverzeichnis1 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.