1 Motivation -- 1–1 Introduction -- 1–2 Miscellaneous Examples -- 1–3 Conclusion: Our Present Aim -- 2 The Initial Axioms -- 2–1 Some Logical Geography -- 2–2 Commutative Bands -- 2–3 Isotone Functions -- 2–4 Belts -- 2–5 Belt Homomorphisms -- 2–6 Types of Belt -- 2–7 Dual...

As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations...

This book presents recent theoretical and practical aspects in the field of optimization and convex analysis. The topics covered in this volume include: - Equilibrium models in economics. - Control theory and semi-infinite programming. - Ill-posed variational problems. - Global optimization. -...

1. Convex Cones and linear Inequalities -- 1. Separation theorems -- 2. Cones and duals -- 3. Linear inequalities over cones -- 4. Theorems of the alternative -- 2. Mathematical Programming over Cones -- 5. Linear programming -- 6. Quadratic programming -- 7. The complementarity problem -- 8....

Fiscal foresight---the phenomenon that legislative and implementation lags ensure that private agents receive clear signals about the tax rates they face in the future---is intrinsic to the tax policy process. This paper develops an analytical framework to study the econometric implications of...

This paper presents the econometric approach to causal modeling. It is motivated by policy problems. New causal parameters are defined and identified to address specific policy problems. Economists embrace a scientific approach to causality and model the preferences and choices of agents to...