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
“…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
We show that, even in a framework in which monopolistic exploitation of patents does not occur, patents still give rise to serious drawbacks. We build on Weitzman's (1998) recombinant growth model which provides a stylized but clear description of the formation of knowledge externalities. In our framework a benevolent government buys immediately new patents in a competitive market and releases their contents for free. We show that inefficiencies nevertheless arise and welfare can be improved by correcting the market price through a tax-subsidy scheme. We characterize the (asymptotic) steady state equilibrium, and some properties of the transitional path. We show that if certain conditions are met, then the economy will converge to its (asymptotic) balanced growth path, and along such a path growth will be independent of the policy parameter; conversely, transition dynamics are affected by the choice of the policy parameter. We then quantitatively analyze the effect of different policy interventions on welfare, and show that stricter tax (weaker appropriability) regimes lead to higher social welfare.
“…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
We show that, even in a framework in which monopolistic exploitation of patents does not occur, patents still give rise to serious drawbacks. We build on Weitzman's (1998) recombinant growth model which provides a stylized but clear description of the formation of knowledge externalities. In our framework a benevolent government buys immediately new patents in a competitive market and releases their contents for free. We show that inefficiencies nevertheless arise and welfare can be improved by correcting the market price through a tax-subsidy scheme. We characterize the (asymptotic) steady state equilibrium, and some properties of the transitional path. We show that if certain conditions are met, then the economy will converge to its (asymptotic) balanced growth path, and along such a path growth will be independent of the policy parameter; conversely, transition dynamics are affected by the choice of the policy parameter. We then quantitatively analyze the effect of different policy interventions on welfare, and show that stricter tax (weaker appropriability) regimes lead to higher social welfare.
“…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%
“…We assume the following values for the fundamentals parameters in our economy, which are common in the macroeconomic literature (see, e.g., Mulligan and Sala-iMartin, 1993, and Privileggi, 2010Privileggi, , 2011Privileggi, , 2013):…”
Section: Simulations and Welfare Analysismentioning
We analyze the relationship between economic growth, knowledge production and intellectual property rights. Economists and historians underline different aspects as possible causes of knowledge accumulation; the former stress the role of incentive mechanisms while the latter the autonomous progress of science. We construct a unified theory allowing for the presence of markets and the autonomous accumulation of knowledge by introducing intellectual property right policies in an endogenous recombinant growth model. In this framework a benevolent government should reallocate resources from the final to the knowledge production sector and implement a tax-subsidy scheme in order to correct for the inefficiencies generated by the process. We characterize the (asymptotic) steady state equilibrium, and some properties of the transitional path. We show that if certain conditions are met, then the economy will converge to its (asymptotic) balanced growth path, and along such a path growth will be independent of the government policy; conversely, transition dynamics and the capital to knowledge ratio are affected by the choice of the tax-subsidy parameter. We then quantitatively analyze the effect of different policy interventions on welfare, and show that welfare is increasing in the policy parameter and a strictly positive policy level may be required to avoid stagnation. JEL Classification Numbers: K11; L16; L43; O31; O34; O41
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