Presenting a discrete time version of the Romer (1986) model, this paper analyzes optimal paths in a one-sector growth model when the technology is not convex. We prove that for a given quality of knowledge technology, the countries could take-off if their initial stock of capital are above a critical level; otherwise they could face a poverty-trap. We show that for an economy which wants to take-off by means of knowledge technology requires three factors : large amount of initial knowledge, small fixed costs and a good quality of knowledge technology.
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Find related papers by JEL classification: C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis O12 - Economic Development, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development O32 - Economic Development, Technological Change, and Growth - - Technological Change - - - Management of Technological Innovation and R&D O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
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