Abstract
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 calculus on Hilbert spaces and functional analysis.
This research was supported by NSF Grant GS 18174. P. J. Kalman is visiting Harvard University from SUNY at Stony Brook. The authors thank K.J. Arrow and I. Sandberg for helpful suggestions.
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Chichilnisky, G., Kalman, P.J. (1978). An Extension of Comparative Statics to a General Class of Optimal Choice Models. In: Green, J. (eds) Some Aspects of the Foundations of General Equilibrium Theory. Lecture Notes in Economics and Mathematical Systems, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95331-6_1
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DOI: https://doi.org/10.1007/978-3-642-95331-6_1
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