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 Economies—Statics -- 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 Economies—Dynamics -- 1 Introduction -- 2 Stability of Market Equilibrium -- 3 A Dynamic Heckscher-Ohlin Model -- Appendix A -- Appendix B -- References -- Name Index -- List of Symbols.
