2 resultados para linear and nonlinear differential and integral equations

em Repositório digital da Fundação Getúlio Vargas - FGV


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Medellín, Colombia continues to attract global recognition for its evolution from a crimesaturated and desegregated city to an award-winning paragon of innovation. Two innovations in particular, the Metro System & the Integral Urban Projects, have fostered and contributed to Medellín’s inclusive growth, as indicated by a corresponding increase in both social and economic capital. Through a mixed methodology analysis of these two experiences, including participant observation, in-depth interviews with different industry leaders, and household surveys, this thesis explores the extent to which inclusive innovation has contributed to inclusive growth in Medellín. The surveys were distributed to three sensitive neighborhoods of Medellín and apply a Synthesized Framework for measuring inclusive growth, one that includes five indicators for social capital and five indicators for economic capital, emphasizing the importance of progression in both dimensions. By drawing on concepts of inclusivity surfacing more frequently in business lexicon and the emergence of a newly branded Medellín, the findings of this thesis indicates that the implementation of innovations in association with a unified city vision practiced by the local government, corporate and non-profit sector has contributed to achieving inclusive growth, and has left civilians hungry for more.

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This work adds to Lucas (2000) by providing analytical solutions to two problems that are solved only numerically by the author. The first part uses a theorem in control theory (Arrow' s sufficiency theorem) to provide sufficiency conditions to characterize the optimum in a shopping-time problem where the value function need not be concave. In the original paper the optimality of the first-order condition is characterized only by means of a numerical analysis. The second part of the paper provides a closed-form solution to the general-equilibrium expression of the welfare costs of inflation when the money demand is double logarithmic. This closed-form solution allows for the precise calculation of the difference between the general-equilibrium and Bailey's partial-equilibrium estimates of the welfare losses due to inflation. Again, in Lucas's original paper, the solution to the general-equilibrium-case underlying nonlinear differential equation is done only numerically, and the posterior assertion that the general-equilibrium welfare figures cannot be distinguished from those derived using Bailey's formula rely only on numerical simulations as well.