Maćkowiak, Piotr (2009): Adaptive Rolling Plans Are Good. Published in: Argumenta Oeconomica , Vol. 25, No. 2/2010 (2010): pp. 117-136.
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Here we prove the goodness property of adaptive rolling plans in a multisector optimal growth model under decreasing returns in deterministic environment. Goodness is achieved as a result of fast convergence (at an asymptotically geometric rate) of the rolling plan to balanced growth path. Further on, while searching for goodness, we give a new proof of strong concavity of an indirect utility function – this result is achieved just with help of some elementary matrix algebra and differential calculus.
|Item Type:||MPRA Paper|
|Original Title:||Adaptive Rolling Plans Are Good|
|Keywords:||indirect utility function; good plans; adaptive rolling-planning; multisector model|
|Subjects:||O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis
|Depositing User:||Piotr Maćkowiak|
|Date Deposited:||18. Oct 2012 14:57|
|Last Modified:||22. Feb 2013 13:19|
Bala, V., M. Majumdar, and T. Mitra (1991), Decentralized evolutionary mechanism for intertemporal economies: A possibility result, Journal of Economics 53, 1-29.
Benhabib, J., and K. Nishimura (1979a), On the uniqueness of steady states in an economy with heterogeneous capital goods, International Economic Review 20, 59-82.
Benhabib, J., and K. Nishimura (1979b), The Hopf Bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth, Journal of Economic Theory 21, 421-444.
Benhabib, J., and K. Nishimura (1981), Stability of equilibrium in dynamic models of capital theory, International Economic Review 22, 275-293.
Gale, D. (1967), On optimal development in a multi-sector economy, Review of Economic Studies 34, 1-18.
Goldman, S. (1968), Optimal growth and continual planning revision, Review of Economic Studies 35, 145-154.
Hirota, M., and K. Kuga (1971), On an intristic joint production, International Economic Review 12, 87-98.
Kaganovich, M. (1996), Rolling planning: Optimality and decentralization, Journal of Economic Behavior and Organization 29, 173-185.
Kaganovich, M. (1998), Decentralized evolutionary mechanism of growth in a linear multi-sector model, Metroeconomica 49, 349-363.
Lancaster, K. (1968), Mathematical Economics, Macmillan.
Lancaster, P., and M. Tismenetsky (1985), The Theory of Matrices, Academic Press.
Lucas, R., and N. Stokey (1989), Recursive methods in economic dynamics, Harvard University Press.
McKenzie, L. (2002), Classical general equilibrium, MIT Press.
Nikaido, H. (1968), Convex Structures and Economic Theory, Academic Press.
Takayama, A. (1985), Mathematical Economics (2nd edition), Cambridge University Press.
Venditti, A. (1997), Strong concavity properties of indirect utility functions in multisector optimal growth models, Journal of Economic Theory 74, 349-367.
Vial, J.-P. (1983), "Strong and weak convexity of sets and functions," Mathematics of Operations Research 8, 231-259