On Capital Dependent Dynamics of Knowledge

dc.creatorSzydlowski, Marek
dc.creatorKrawiec, Adam
dc.date2006-08-20
dc.date.accessioned2026-07-07T12:07:50Z
dc.date.available2026-07-07T12:07:50Z
dc.descriptionWe investigate the dynamics of growth models in terms of dynamical system theory. We analyse some forms of knowledge and its influence on economic growth. We assume that the rate of change of knowledge depends on both the rate of change of physical and human capital. First, we study model with constant savings. The model with optimised behaviour of households is also considered. We show that the model where the rate of change of knowledge depends only on the rate of change of physical capital can be reduced to the form of the two-dimensional autonomous dynamical system. All possible evolutional paths and the stability of solutions in the phase space are discussed in details. We obtain that the rate of growth of capital, consumption and output are greater in the case of capital dependent rate of change of knowledge.
dc.description11 pages, 5 figures; presented at 2nd Polish Symposium on Econo- and Sociophysics, Krakow, Poland, 21-22 April 2006; to be published in Acta Phys. Pol. B
dc.identifierhttps://arxiv.org/abs/physics/0608197
dc.identifierhttp://arxiv.org/abs/physics/0608197
dc.identifierActa Phys.Polon. B37 (2006) 3161-3170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209112
dc.subjectPhysics and Society
dc.subjectGeneral Finance
dc.titleOn Capital Dependent Dynamics of Knowledge
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