Abstract
We prove the existence of an optimal growth path in an economy where goods that are not consumed are either invested in next period capital or in R&D with overall non-convex production possibilities, using results of non-linear functional analysis in weighted L p spaces of Chichilnisky ( Journal of Optimization Theory and Applications, 1977, 61, no. 2, 504–520) and ( Journal of Mathematical Economics, 1981, 8, 1–14).
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