Nonlinear Dynamics in Economics, Finance and Social Sciences 2009
DOI: 10.1007/978-3-642-04023-8_14
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On the Transition Dynamics in Endogenous Recombinant Growth Models

Abstract: This paper constitutes a first attempt at studying the transition dynamics of the Tsur and Zemel (2007) continuous time endogenous growth framework in which knowledge evolves according to the Weitzman (1998) recombinant process. For a specific choice of the probability function characterizing the Weitzman recombinant process, we find a suitable transformation for the state and control variables in the dynamical system diverging to asymptotic constant growth, so that an equivalent 'detrended' system converging … Show more

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Cited by 5 publications
(55 citation statements)
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“…Following Privileggi (2010;2015), in the sequel we shall assume that only pairs of ideas can be matched and that the probability of success is described by a hyperbolic function.…”
Section: Model Specification and Transition Dynamicsmentioning
confidence: 99%
See 1 more Smart Citation
“…Following Privileggi (2010;2015), in the sequel we shall assume that only pairs of ideas can be matched and that the probability of success is described by a hyperbolic function.…”
Section: Model Specification and Transition Dynamicsmentioning
confidence: 99%
“…As in Tsur and Zemel (2007), Privileggi (2010;2015) and Privileggi and Marsiglio (2014), under Assumptions A.2-4 two optimal regimes are possible:…”
Section: Model Specification and Transition Dynamicsmentioning
confidence: 99%
“…where C ′ m (A) denotes the derivative of the number of different combinations of m elements as a function of the stock 9 A (Tsur and Zemel, 2007; Privileggi, 2010Privileggi, , 2011; that is, within this approach both the seed production in (2) and the production of new ideas in (1) are referred (as a limit) to the same time instant. Hence, when (2) is substituted into (1), it turns out that the law of motion of knowledge at every instant iṡ…”
Section: Amentioning
confidence: 99%
“…Following Privileggi (2010Privileggi ( , 2011Privileggi ( , 2013, in the sequel we shall assume that only pairs of ideas can be matched 16 and that the probability of success is described by a hyperbolic function.…”
Section: Model Specificationmentioning
confidence: 99%
See 1 more Smart Citation