Avtor/Urednik     La Torre, Davide; Marsiglio, Simone; Privileggi, Fabio
Naslov     Fractals and self-similarity in economics: the case of a stochastics two-sector growth model
Tip     članek
Vir     Image Anal Stereol
Vol. in št.     Letnik 30, št. 3
Leto izdaje     2011
Obseg     str. 143-51
Jezik     eng
Abstrakt     We study a stochastic, discrete-time, two-sector optimal growth model in which the production of the homogeneous consumption good uses a Cobb-Douglas technology, combining physical capital and an endogenously determined share of human capital. Education is intensive in human capital as in Lucas (1988), but the marginal returns of the share of human capital employed in education are decreasing, as suggested by Rebelo (1991). Assuming that the exogenous shocks are i.i.d. and affect both physical and human capital, we build specific configurations for the primitives of the model so that the optimal dynamics for the state variables can be converted, through an appropriate log-transformation, into an Iterated Function System converging to an invariant distribution supported on a generalized Sierpinski gasket.
Deskriptorji     FRACTALS
STOCHASTIC PROCESSES
MODELS, ECONOMIC
HOUSEHOLD ARTICLES