Abstract
The local and global stability of multisector optimal growth models has been extensively studied in the recent literature. Brock and Scheinkman (1976), Cass and Shell (1976), McKenzie (1976), and Scheinkman (1976) have established strong results about global stability that require a small rate of discount. Burmeister and Graham (1973), Araujo and Scheinkman (1977), Magill (1977), and Scheinkman (1978) have established conditions that yield stability conditions independently of the rate of discount.
Journal of Economic Theory 21, 421–444, 1979
We would like to thank Professor K.Lancaster and Professor L.McKenzie for their help and guidance at various stages of the paper. We are indebted to Professors W. A. Brock, E. Burmeister, D. Cass and K. J. P. Magill for valuable comments. Comments of an anonymous referee us helped us improve the paper and correct many mistakes.
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Benhabib, J., Nishimura, K. (2012). The Hopf Bifurcation and Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth. In: Stachurski, J., Venditti, A., Yano, M. (eds) Nonlinear Dynamics in Equilibrium Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22397-6_3
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