We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are...

We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are...

Global modeling has evolved remarkably in the last two decades. Such evolution led it to perform today's role as an experimental laboratory for the social sciences, and particularly for applications to policy planning. Two of the most interesting applications to policy are to resource economics...

A conference report on UNESCO and Fundacion Bariloche sponsored conference with policy-oriented scientists from Africa, Europe, Latin America, and the United States of December 1976. The focus was on global modelling, its formalization and reliability. The applications were to problems of...

The study of the local characteristics of equilibrium positions generated by the constrained maximization of some criterion functions (such as utility, profit, cost, etc.) goes back to Antonelli's paper [2] of 1886. Certain local properties have been proved to be particularly fruitful for...

This paper and appendices report an ongoing study of the interrelationships between technology, income distribution and other socio-economic issues in a long term global context. The present paper therefore describes the work in progress on a project to be completed by July 1980. The aim here is...

The concept of basic needs is today at the center of many discussions about development and the international order. Some international organizations are rethinking their prior evaluation of development policies based largely on aggregate economic output, in particular, the welfare of the very...

90 Classical problems in economics are concerned with the solutions of several simultaneous nonlinear optimization problems, one for each consumer or producer, all facing constraints posed by the scarcity of resources. Often their interests conflict, and it is generally impossible to find a...

A problem of existence and characterization of solutions of optimal growth models in many sector economies is studied The social utility to be optimized is a generalized form of a preference depending additively on consumption at the different dates of the planning period. The optimization b...

We consider here optimal use patterns for renewable resources and address the problem of optimal use of renewable resources under a variety of assumptions both about the nature of the economy in which these resources are embedded and about the objective of that economy. Although we focus here on...