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...

The paper proposes two axioms that capture the idea of sustainable development and derives the welfare criterion that they imply. The axioms require that neither the present nor the future should play a dictatorial role. Theorem 1 shows there exist sustainable preferences, which satisfy these...

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...

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...

The present acceleration of environmental destruction can be linked to the economic trading strategies that came into vogue after World War II. The theory of comparative advantages of trade, which recommends that developing countries emphasize resource exports and exports of labor-intensive...

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...

This paper focuses on an economic aspect of the disarmament question: the international market of armaments. I shall explore the thesis that arms trade is an increasingly important factor in North-South economic relations, that it affects not only international trade patterns, but also through...

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...