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La soluzione centralizzata del modello di Uzawa-Lucas con esternalità

  • Alessio Moro

    ()

    (Università di Cagliari)

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.

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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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Handle: RePEc:rpo:ripoec:v:92:y:2002:i:6:p:111-146
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  1. 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.
  2. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  3. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation for Research in Economics, Yale University.
  4. 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.
  5. 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.
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