Special functions for the study of economic dynamics : The case of the Lucas-Uzawa model
The special functions are intensively used in mathematical physics to solve differential systems. We argue that their use should be most useful in economic dynamics, notably in the assessment of the transtion dynamics of endogenous growth models. We illustrate our argument on the Lucas-Uzawa model, which we solve by the means of Gaussian hypergeometric functions. We show how the use of Gaussian hypergeometric functions allows for an explicit representation of the equilibrium dynamics of the variables in level. In contrast to the preexisting approaches, our method is global and does not rely on dimension reduction
|Date of creation:||01 Oct 2004|
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- Boucekkine Raouf & Ruiz Tamarit Ramon, 2004.
"Imbalance Effects in the Lucas Model: an Analytical Exploration,"
The B.E. Journal of Macroeconomics,
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- BOUCEKKINE, Raouf & RUIZ-TAMARIT, Ramon, 2004. "Imbalance effects in the Lucas model: an analytical exploration," CORE Discussion Papers 2004008, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Raouf, BOUCEKKINE & Ramon, RUIZ-TAMARIT, 2004. "Imbalance effects in the Lucas model : An analytical exploration," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2004005, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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