Introduction to Mathematical Economics

1 Linear Inequalities. - 1 Some Fundamental Theorems. - 2 Linear Programming and Matrix Games. - 3 Convex Sets and Convex Cones. - 4 Nonlinear Programming. - 2 Nonnegative Matrices. - 1 The Perron-Frobenius Theorem. - 2 Power-Nonnegative Matrices. - 3 Some Special Matrices. - 1 P- NP- PN- and Semi-PN Matrices. - 2 Fundamental Properties of P- N- PN- and NP Matrices. - 3 Fundamental Properties of Semi-PN Matrices. - 4 Matrices with the Minkowski or Metzler Property. - 4 Stability Analysis of Some Dynamic Systems. - 1 Systems of Linear Differential Equations: Solutions Stability and Saddle-Point Property. - 2 Systems of Linear tâtonnement Processes. - 3 An Existence Theorem for Systems of Ordinary Differential Equations. - 4 Liapunov's Stability Theorems for Systems of Ordinary Differential Equations. - 5 Stability Theorems for Systems of Difference Equations. - 5 Neoclassical EconomiesStatics. - 1 Neoclassical Technologies. - 2 Mapping from Factor-Rentals and Primary-Factor Endowments to Commodity Prices and Outputs. - 3 Mapping from Commodity Prices and Own-Rates of Return to Primary-Factor Rentals. - 4 Mapping from Commodity Prices and Own-Rates of Return to Gross and Net Outputs. - 6 Neoclassical EconomiesDynamics. - 1 Introduction. - 2 Stability of Market Equilibrium. - 3 A Dynamic Heckscher-Ohlin Model. - Appendix A. - Appendix B. - References. - Name Index. - List of Symbols. Language: English