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Technology Gaps, Trade and Income. (2019). Sampson, Thomas.
In: CESifo Working Paper Series.
RePEc:ces:ceswps:_7714.

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  1. Does Scientific Productivity Stimulate Intensified Technology Exports in Developing Economies. (2021). Kish, Razieh Davari ; Davarikish, Razieh ; Tartar, Mohsen ; Sepehrdoust, Hamid.
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  2. Development strategies for middle?income countries in a digital world—Insights from modern trade economics. (2021). Mayer, Joerg.
    In: The World Economy.
    RePEc:bla:worlde:v:44:y:2021:i:9:p:2515-2546.

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  73. Solution to firm’s R&D problem in Section 3.2 The firm faces a discounted infinite-horizon optimal control problem of the type studied in Section 7.5 of Acemoglu (2009). The current-value Hamiltonian is: H(φ, lR , λ) =  1 − β β βpjsχR js ws ! 1 1−β φ − lR   ws + λ φ 1 − β h ψBsφ−γj(1−β) lR α − (δ + gj) i ,
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  77. The solution to (28) and (29) is a candidate for a solution to the firm’s problem. To show it is in fact the unique solution we can use Theorem 7.14 in Acemoglu (2009). Suppose λ is the current-value costate variable obtained from the solution to (28) and (29). Equation (54) implies λ is always strictly positive. Therefore, given any path for φ on which φ is always positive we have limt̃→∞ h e−(ρ+ζ)(t̃−t)λφ i ≥ 0. Now define: H(φ, λ) = max lR H(φ, lR , λ), =  1 − β β βpjsχR js ws ! 1 1−β ws − λ (δ + gj) 1 − β   φ + 1 − α α w −α 1−α s
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  79. which is negative by Assumption 1. This means the Jacobian has one strictly negative and one strictly positive eigenvalue. Therefore, by Theorem 7.19 in Acemoglu (2009), the steady state is locally saddle-path stable. There exists an open neighborhood of the steady state such that if the firm’s initial φ lies within this neighborhood, the system of differential equations given by (28) and (29) has a unique solution. The solution converges to the steady state along the stable arm of the system as shown in Figure 1 in the paper. From equation (56) it follows that λ̇ → 0 as the solution converges to the steady state. Since ρ + ζ > 0 this implies the solution satisfies the transversality condition (55).
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  34. The modern drivers of productivity. (2015). Venturini, Francesco.
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  36. Technology transfer, institutions and development. (2014). Liberati, Paolo ; Costantini, Valeria.
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  37. Getting patents and economic data to speak to each other: An ‘Algorithmic Links with Probabilities’ approach for joint analyses of patenting and economic activity. (2014). Zolas, Nikolas ; Lybbert, Travis.
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  38. Unveiling the dynamic relation between R&D and emission abatement. (2014). mancinelli, susanna ; Mazzanti, Massimiliano ; Corradini, Massimiliano ; Costantini, Valeria.
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  43. The Connection between Imported Intermediate Inputs and Exports: Evidence from Chinese Firms. (2012). Swenson, Deborah ; Li, Zhiyuan ; Feng, Ling.
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  46. Imported inputs and skill upgrading. (2012). Crino, Rosario.
    In: Labour Economics.
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  47. Looking into the black box of Schumpeterian growth theories: An empirical assessment of R&D races. (2012). Venturini, Francesco.
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  48. Getting Patents and Economic Data to Speak to Each Other: An Algorithmic Links with Probabilities Approach for Joint Analyses of Patenting and Economic Activity. (2012). Zolas, Nikolas ; Lybbert, Travis.
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  49. Trade Patterns and International Technology Spillovers:Theory and Evidence from Patent Citations. (2011). Jinji, Naoto ; Haruna, Shoji ; Zhang, Xingyuan .
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  50. Machines and machinists: Capital-skill complementarity from an international trade perspective. (2011). Koren, Miklós ; Csillag, Marton .
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