Evers, Joseph J. M. A duality theory for infinite-horizon optimization of concave input/output processes. (English) Zbl 0532.90021 Math. Oper. Res. 8, 479-497 (1983). Summary: A general concave \(\infty\)-horizon optimization model is analyzed with the help of a special convexity concept, which combines both the usual convexity and the dynamic structure. The axiomatic setup leads to a perfect symmetry between the primal and dual problems. After introducing a particular dynamic feasibility hypothesis, the following results are presented: (i) boundedness of trajectories as a necessary condition for optimality, (ii) the existence of primal and dual optimal trajectories, (iii) approximation by finite horizon models, and (iv) necessary and sufficient conditions for optimality. Cited in 1 ReviewCited in 3 Documents MSC: 91B62 Economic growth models 90C90 Applications of mathematical programming 49N15 Duality theory (optimization) Keywords:concave infinite-horizon optimization model; perfect symmetry between primal and dual problems; duality; convexity; dynamic structure; axiomatic setup; boundedness of trajectories; approximation by finite horizon models; necessary and sufficient conditions for optimality PDFBibTeX XMLCite \textit{J. J. M. Evers}, Math. Oper. Res. 8, 479--497 (1983; Zbl 0532.90021) Full Text: DOI