La soluzione centralizzata del modello di Uzawa-Lucas con esternalità
Abstract
In questo lavoro si ricava la soluzione centralizzata del modello di Uzawa-Lucas in presenza di esternalità. Attraverso una trasformazione che utilizza il rapporto reddito/capitale fisico e il rapporto consumo/capitale fisico, si ottengono informazioni sulle caratteristiche della transizione, sia dal punto di vista locale, sia (in via del tutto eccezionale per modelli così complessi) dal punto di vista globale. Si dimostra che l’equazione di moto del rapporto reddito/capitale fisico può agevolmente risolversi in forma chiusa, per generare peraltro una funzione logistica di convergenza verso lo stato stazionario. Una volta ottenuto questo risultato, anche l’equazione di moto per il rapporto consumo/capitale fisico può risolversi esplicitamente. Infine, anche le altre equazioni di moto per le altre variabili del modello possono essere risolte ricorsivamente.Download Info
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Article provided by SIPI Spa in its journal Rivista di Politica Economica.
Volume (Year): 92 (2002)
Issue (Month): 6 (November-December)
Pages: 111-146
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Related research
Keywords:Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
- O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
References
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- Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October.
- Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
- Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
- Judd, Kenneth L., 1999. "Optimal taxation and spending in general competitive growth models," Journal of Public Economics, Elsevier, vol. 71(1), pages 1-26, January.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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