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Are there common alternative models of economic growth, compared to Solow's model
I think that you should start reading the Ramsey–Cass–Koopmans model, where saving choices are made endogenous (whereas in the Solow-Swan model there were exogenous).
Then, the milestone literature ...
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Are there common alternative models of economic growth, compared to Solow's model
An older example that places emphasis on inter-industry relations by using an input-output model is von Neumann's growth model featured in his 1945 article "A Model of General Economic ...
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