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...

The present paper studies existence and characterization of efficient paths in infinite-horizon economic growth models: the method used is based on techniques of nonlinear functional analysis on Hilbert spaces developed earlier by Chichilnisky. Necessary and sufficient conditions are given for...

The problem of endowing preferences with manifold structures emerged from discussions with Gerard Debreu in 1975 . Time has shown that such structures can be useful in understanding the behavior of economic systems . In Chichilnisky (1976) spaces of smooth preferences were endowed with a Hilbert...

This paper analyses problems of labor market adjustments to occupational safety and health (OSH) hazards. It also presents analytical models for the eventual measurement and empirical analyses of factors effecting the level of OSH hazards in the workplace. This study does not pretend to deal...

In international circles, the concern of the day is the state of the world economy. There is a general appreciation of the severity of the problem, but no widespread agreement about either diagnosis or solutions. We shall focus here on a particular set of topics that have emerged as major issues...