A homoclinic bifurcation and global indeterminacy of equilibrium in a two-sector endogneous growth model

MATTANA, PAOLO;Nishimura K;Shigoka T.

2009-01-01

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Abstract

This paper considers an endogenous growth model that belongs to the same family as the Lucas model. In the Lucas model an external effect appears in the physical-goods sector, whereas in our model, it appears in the educational sector. In our model, this external effect yields multiple balanced growth paths. Our model undergoes a homoclinic bifurcation and exhibits global indeterminacy of equilibrium.