795 resultados para mathematical economics


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The Rational Agent model have been a foundational basis for theoretical models such as Economics, Management Science, Artificial Intelligence and Game Theory, mainly by the ¿maximization under constraints¿ principle, e.g. the ¿Expected Utility Models¿, among them, the Subjective Expected Utility (SEU) Theory, from Savage, placed as most influence player over theoretical models we¿ve seen nowadays, even though many other developments have been done, indeed also in non-expected utility theories field. Having the ¿full rationality¿ assumption, going for a less idealistic sight ¿bounded rationality¿ of Simon, or for classical anomalies studies, such as the ¿heuristics and bias¿ analysis by Kahneman e Tversky, ¿Prospect Theory¿ also by Kahneman & Tversky, or Thaler¿s Anomalies, and many others, what we can see now is that Rational Agent Model is a ¿Management by Exceptions¿ example, as for each new anomalies¿s presentation, in sequence, a ¿problem solving¿ development is needed. This work is a theoretical essay, which tries to understand: 1) The rational model as a ¿set of exceptions¿; 2) The actual situation unfeasibility, since once an anomalie is identified, we need it¿s specific solution developed, and since the number of anomalies increases every year, making strongly difficult to manage rational model; 3) That behaviors judged as ¿irrationals¿ or deviated, by the Rational Model, are truly not; 4) That¿s the right moment to emerge a Theory including mental processes used in decision making; and 5) The presentation of an alternative model, based on some cognitive and experimental psychology analysis, such as conscious and uncounscious processes, cognition, intuition, analogy-making, abstract roles, and others. Finally, we present conclusions and future research, that claims for deeper studies in this work¿s themes, for mathematical modelling, and studies about a rational analysis and cognitive models possible integration. .

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The objective of this paper is to bring elements from the philosophical movement of hermeneutics and pragmatism to the discussion on methodology in economics, with a specific concern on the theory of truth. Our aim is to present the concept of the hermeneutic space, developed by the philosopher Richard Rorty, as a rational justification for pluralism in economics. We consider the hermeneutic space an interesting concept which should allow us to overcome the void left by the incapacity of epistemological theories to explain the evolution of sciences. It defends the idea that our culture, values and ways of interpreting things are what build the sciences, not any closed epistemological method. In this sense, pluralism is nothing more than letting the hermeneutic space work, without epistemological barriers, and understanding that this is desirable for the future development of economics as a science. This approach differs from all other methodological justifications for pluralism because it does not rely on any epistemological method, but assumes that the hermeneutic space can entirely fulfill the gap created by them

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Esta tese é uma coleção de quatro artigos em economia monetária escritos sob a supervisão do Professor Rubens Penha Cysne. O primeiro desses artigos calcula o viés presente em medidas do custo de bem-estar da inflação devido a não se levar em conta o potencial substitutivo de moedas que rendem juros, como depósitos bancários.[1] O segundo se concentra na questão teórica de se comparar os escopos dos tradicionais modelos money-in-the-utility-function e shopping-time através do estudo das propriedades das curvas de demanda que eles geram.[2] O terceiro desses trabalhos revisita um artigo clássico de Stanley Fischer sobre a correlação entre a taxa de crescimento da oferta monetária e a taxa de acumulação de capital no caminho de transição.[3] Finalmente, o quarto diz respeito à posição relativa de cada uma de seis medidas do custo de bem-estar da inflação (uma das quais é nova) em relação às outras cinco, e uma estimativa do erro relativo máximo em que o pesquisador pode incorrer devido a sua escolha de empregar uma dessas medidas qualquer vis-à-vis as outras.[4] This thesis collects four papers on monetary economics written under the supervision of Professor Rubens Penha Cysne. The first of these papers assesses the bias occuring in welfare-cost-of-inflation measures due to failing to take into consideration the substitution potential of interest-bearing monies such as bank deposits.[1] The second one tackles the theoretical issue of comparing the generality of the money-in-the-utility-function- and the shopping-time models by studying the properties of the demand curves they generate.[2] The third of these works revisits a classic paper by Stanley Fischer on the correlation between the growth rate of money supply and the rate of capital accumulation on the transition path.[3] Finally, the fourth one concerns the relative standing of each one of six measures of the welfare cost of inflation (one of which is new) with respect to the other five, and an estimate of the maximum relative error one can incur by choosing to employ a particular welfare measure in place of the others.[4] [1] Cysne, R.P., Turchick, D., 2010. Welfare costs of inflation when interest-bearing deposits are disregarded: A calculation of the bias. Journal of Economic Dynamics and Control 34, 1015-1030. [2] Cysne, R.P., Turchick, D., 2009. On the integrability of money-demand functions by the Sidrauski and the shopping-time models. Journal of Banking & Finance 33, 1555-1562. [3] Cysne, R.P., Turchick, D., 2010. Money supply and capital accumulation on the transition path revisited. Journal of Money, Credit and Banking 42, 1173-1184. [4] Cysne, R.P., Turchick, D., 2011. An ordering of measures of the welfare cost of inflation in economies with interest-bearing deposits. Macroeconomic Dynamics, forthcoming.

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This work consists of three essays organized into chapters that seek to answer questions at first sight unrelated, but with one common denominator, which is the scarcity of public resources devoted to education, overall, especially in lower education. . The first chapter deals with the scarcity of resources devoted to education in a context of population aging. Two hypotheses were tested for Brazilian municipalities on the relationship between the aging of the population and educational expenditure. The first, already proven in the literature, is that there is an intergenerational conflict for resources and the increase of the share of elderly in the population reduces the educational expenditure. The second, proposed here for the first time, is that there should be reduction of competition for resources if there is a relationship of co-residence between young and old. The results indicated that an increase in the share of elderly reduces the educational expenditure per youth. But the results also illustrate that an increase in the share of elderly co-residing with youth (family arrangement more common in Latin American countries) raises the educational expenditure, which reflects a reduction of competition for resources between generations. The second chapter assesses the allocative efficiency of investments in Higher Education. Using the difference between first-year and last-year students’ scores from Enade aggregated by HEI as a product in the Stochastic Production Function, is possible to contribute with a new element in the literature aimed at estimating the production function of education. The results show that characteristics of institutions are the variables that best explain the performance of students, and that public institutions are more inefficient than the private ones. Finally, the third chapter presents evidence that the allocation of public resources in early childhood education is important for a better future school performance. In this chapter was calculated the effects of early childhood education on literacy scores of children attending the 2nd grade of elementary school. The results using OLS and propensity score matching show that students who started school at the ages to 5, 4, and 3 years had literacy scores between 12.22 and 19.54 points higher than the scores of those who began school at the ages 6 years or late. The results also suggest that the returns in terms of literacy scores diminish in relation to the number of years of early childhood education.

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Employing a embodied technologic change model in which the time decision of scrapping old vintages of capital and adopt newer one is endogenous we show that the elasticity of substitutions among capital and labor plays a key role in determining the optimum life span of capital. In particular, for the CD case the life span of capital does not depend on the relative price of it. The estimation of the model's long-run investment function shows, for a Panel data set consisting of 125 economies for 25 years, that the price elasticity of investment is lower than one; we rejected the CD specification. Our calibration for the US suggests 0.4 for the technical elasticity of substitution. In order to get a theoretical consistent concept of aggregate capital we derive the relative price profile for a shadow second-hand market for capital. The shape of the model's theoretical price curve reproduces the empírical estimation of it. \lVe plug the calibrate version of the long-run solution of the model to a cross-section of economies data set to get the implied TFP, that is, the part of the productivity which is not explained by the model. We show that the mo dei represent a good improvement, comparing to the standard neoc!assical growth model with CD production function and disembodied technical change, in accounting the world diversity in productivity. In addition the model describes the fact that a very poor economy can experience fast growth based on capital accumulation until the point of becoming a middle income economy; from this point on it has to rely on TFP increase in order to keep growing.

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O Diretor da London School of Economics and Political Science (LSE), Craig Calhoun, foi recebido na terça-feira (29) pelo Presidente da Fundação Getulio Vargas, Carlos Ivan Simonsen Leal, durante visita institucional à FGV. Pela manhã, os presidentes das duas instituições tiveram uma reunião com a presença do Secretário-Executivo da LSE, Hugh Martin, do Diretor da DAPP, Marco Aurélio Ruediger, do Diretor da EPGE (Escola Brasileira de Economia e Finanças), Rubens Cysne, da Diretora-Executiva da Editora FGV, Marieta de Moraes Ferreira, e do Prof. Antônio Carlos Porto Gonçalves, também da EPGE. No encontro, foi discutido o maior intercâmbio de alunos entre a LSE e a FGV e em projetos de pesquisa. À tarde, Calhoun realizou uma visita à sede da DAPP, onde participou de uma reunião de apresentação dos métodos de monitoramento e análise de rede desenvolvidos pela DAPP. Participaram da reunião, além do Diretor da DAPP, os pesquisadores Roberta Novis, Amaro Grassi e Pedro Lenhard.

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Conditionalites, measures that a borrowing country should adopt to obtain loans from the IMF, are pervasive in IMF programs. This paper estimates the effects of political and economic factors on the number of conditionalities and on the fiscal adjustment requested by the IMF. As found in the literature, political proximity of the borrowing country to the Fund’s major shareholders has an important effect on the number of conditions in an agreement. However, the fiscal adjusment requested by the IMF is strongly affected by the size of a country’s fiscal deficit but not by political proximity. We also find a very small correlation between the number of conditions and the fiscal adjustment requested by the IMF

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Conventional wisdom holds that economic analysis of law is either embryonic or nonexistent outside of the United States generally and in civil law jurisdictions in particular. Existing explanations for the assumed lack of interest in the application of economic reasoning to legal problems range from the different structure of legal education and academia outside of the United States to the peculiar characteristics of civilian legal systems. This paper challenges this view by documenting and explaining the growing use of economic reasoning by Brazilian courts. We argue that, given the ever-greater role of courts in the formulation of public policies, the application of legal principles and rules increasingly calls for a theory of human behavior (such as that provided by economics) to help foresee the likely aggregate consequences of different interpretations of the law. Consistent with the traditional role of civilian legal scholarship in providing guidance for the application of law by courts, the further development of law and economics in Brazil is therefore likely to be mostly driven by judicial demand.

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EMAp - Escola de Matemática Aplicada

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The financial crisis and Great Recession have been followed by a jobs shortage crisis that most forecasts predict will persist for years given current policies. This paper argues for a wage-led recovery and growth program which is the only way to remedy the deep causes of the crisis and escape the jobs crisis. Such a program is the polar opposite of the current policy orthodoxy, showing how much is at stake. Winning the argument for wage-led recovery will require winning the war of ideas about economics that has its roots going back to Keynes’ challenge of classical macroeconomics in the 1920s and 1930s. That will involve showing how the financial crisis and Great Recession were the ultimate result of three decades of neoliberal policy, which produced wage stagnation by severing the wage productivity growth link and made asset price inflation and debt the engine of demand growth in place of wages; showing how wage-led policy resolves the current problem of global demand shortage without pricing out labor; and developing a detailed set of policy proposals that flow from these understandings. The essence of a wage-led policy approach is to rebuild the link between wages and productivity growth, combined with expansionary macroeconomic policy that fills the current demand shortfall so as to push the economy on to a recovery path. Both sets of measures are necessary. Expansionary macro policy (i.e. fiscal stimulus and easy monetary policy) without rebuilding the wage mechanism will not produce sustainable recovery and may end in fiscal crisis. Rebuilding the wage mechanism without expansionary macro policy is likely to leave the economy stuck in the orbit of stagnation.

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This work is divided in two parts. In the first part we develop the theory of discrete nonautonomous dynamical systems. In particular, we investigate skew-product dynamical system, periodicity, stability, center manifold, and bifurcation. In the second part we present some concrete models that are used in ecology/biology and economics. In addition to developing the mathematical theory of these models, we use simulations to construct graphs that illustrate and describe the dynamics of the models. One of the main contributions of this dissertation is the study of the stability of some concrete nonlinear maps using the center manifold theory. Moreover, the second contribution is the study of bifurcation, and in particular the construction of bifurcation diagrams in the parameter space of the autonomous Ricker competition model. Since the dynamics of the Ricker competition model is similar to the logistic competition model, we believe that there exists a certain class of two-dimensional maps with which we can generalize our results. Finally, using the Brouwer’s fixed point theorem and the construction of a compact invariant and convex subset of the space, we present a proof of the existence of a positive periodic solution of the nonautonomous Ricker competition model.

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Forecast is the basis for making strategic, tactical and operational business decisions. In financial economics, several techniques have been used to predict the behavior of assets over the past decades.Thus, there are several methods to assist in the task of time series forecasting, however, conventional modeling techniques such as statistical models and those based on theoretical mathematical models have produced unsatisfactory predictions, increasing the number of studies in more advanced methods of prediction. Among these, the Artificial Neural Networks (ANN) are a relatively new and promising method for predicting business that shows a technique that has caused much interest in the financial environment and has been used successfully in a wide variety of financial modeling systems applications, in many cases proving its superiority over the statistical models ARIMA-GARCH. In this context, this study aimed to examine whether the ANNs are a more appropriate method for predicting the behavior of Indices in Capital Markets than the traditional methods of time series analysis. For this purpose we developed an quantitative study, from financial economic indices, and developed two models of RNA-type feedfoward supervised learning, whose structures consisted of 20 data in the input layer, 90 neurons in one hidden layer and one given as the output layer (Ibovespa). These models used backpropagation, an input activation function based on the tangent sigmoid and a linear output function. Since the aim of analyzing the adherence of the Method of Artificial Neural Networks to carry out predictions of the Ibovespa, we chose to perform this analysis by comparing results between this and Time Series Predictive Model GARCH, developing a GARCH model (1.1).Once applied both methods (ANN and GARCH) we conducted the results' analysis by comparing the results of the forecast with the historical data and by studying the forecast errors by the MSE, RMSE, MAE, Standard Deviation, the Theil's U and forecasting encompassing tests. It was found that the models developed by means of ANNs had lower MSE, RMSE and MAE than the GARCH (1,1) model and Theil U test indicated that the three models have smaller errors than those of a naïve forecast. Although the ANN based on returns have lower precision indicator values than those of ANN based on prices, the forecast encompassing test rejected the hypothesis that this model is better than that, indicating that the ANN models have a similar level of accuracy . It was concluded that for the data series studied the ANN models show a more appropriate Ibovespa forecasting than the traditional models of time series, represented by the GARCH model