O problema técnico-econômico da adubação

The authors discuss from the economic point of view the use of a few functions intended to represent the yield y corresponding to a level xof the nutrient. They point out that under conditions of scarce capital what is actually most important is not to obtain the highest profit per hectare but the highest return per cruzeiro spent, so that we should maximize the function z = _R - C_ = _R_ - 1 , C C where R is the gross income and C the cost of production (fixed plus variable, both per hectare). Being C = M + rx, with r the unit price of the nutrient and Af the fixed cost of the crop, wo are led to the equation (M + rx)R' - rR = 0. With R = k + sx + tx², this gives a solution Xo = - Mt - √ M²t² - r t(Ms - Kr)- _____________________ rt on the other hand, with R = PyA [1 - 10-c(x + b)], x0 will be the root of equation (M + rx)cL 10 + r 10c(x + b) = 0 (12). Another solution, pointed out by PESEK and HEADY, is to maximize the function z = sx + tx² _________ m + rx where the numerator is the additional income due to the nutrient, and m is the fixed cost of fertilization. This leads to a solution x+ = - mt - √m²t² - mrst (13) _________________ rt However, we must have x+< _r_-_s_ I if we want to satisfy t _dy_ > r. dx This condition is satisfied only if we have m < _(s__-__r)² (14), - 4 t a restriction apparently not perceived by PESEK and HEADY. A similar reasoning using Mitscherlich's law leads to equation (mcL 10 + r) + cr(L 10)x - r 10cx = 0 (15), with a similar restriction. As an example, data of VIEGAS referring to fertilization of corn (maize) gave the equation y - 1534 + 22.99 x - 0. 1069 x², with x in kg/ha of the cereal. With the prices of Cr$ 5.00 per kilo of maize, Cr$ 26.00 per kilo of P2O3,. and M = Cr$ 5,000.00, we obtain x0 = 61 kg/ha of P(2)0(5). A similar reasoning using Mitscherlich's law leads to x0 = 53 kg/ha. Now, if we take in account only the fixed cost of fertilization m = Cr$ 600.00 per hectare, we obtain from (13) x+ = 51 kg/ha of P2O5, while (14) gives x+ - 41 kg/ha. Note that if m = Cr$ 5,000.00, we obtain by formula (13) x+ = 88 kg/ha of P2O5, a solution which is not valid, since condition (14) is not satisfied.

A justiciabilidade do princípio geral da igualdade

O presente trabalho versa sobre a aplicação do princípio da igualdade pelo Poder Judiciário. Busca-se analisar de que maneira o mandamento constitucional de igualdade se concretiza no contexto jurídico-evolutivo enquanto princípio de norma de controle, que é justamente no âmbito em que ele é justificado pelo órgão jurisdicional. Saber até onde o juiz constitucional pode ir, conhecer seus limites de atuação, parcos ou largos, definíveis ou nubilosos, bem como o que vem contido nessa vertente do princípio que o distingue de um enunciado geral da igualdade, faz dessa dissertação um estudo interdisciplinar, mas que não deixa de ser voltado para o entendimento jurídico-normativo dessa função específica do princípio. A conhecida fórmula da proibição do arbítrio recebe uma leitura que não é inovadora, mas que almeja aferir a sua suficiência no exercício daquela função. Ou algo mais vem a ser exigido do princípio? Desde já uma resposta de tal envergadura não pode ser encontrada sem o retrato da jurisprudência respectiva. Por isso que, ao fim, e sem a pretensão de esgotamento, se optou por conhecer alguns dos julgados do Tribunal Constitucional português sobre o tema proposto. A indicação da disfunção ou não do perfil da referida Corte com a posição doutrinária só pode ser resultante da análise conclusiva sobre o tema. Fica o convite à leitura.

Sentido evolutivo do controle de constitucionalidade no Brasil

Consabido que para uma sociedade organizada se desenvolver política e juridicamente, indispensável se faz a existência de um documento formal, dotado de observância obrigatória, capaz de definir as competências públicas e delimitar os poderes do Estado, resguardando os direitos fundamentais de eventuais abusos dos entes políticos. Este documento é a Constituição, que, em todos os momentos da história, sempre se fez presente nos Estados, mas, inicialmente, não de forma escrita, o que fez com que surgisse, então, o constitucionalismo, movimento que defendia a necessidade de elaboração de constituições escritas, munidas de normatividade e supremacia em relação às demais espécies normativas, que visassem organizar a separação dos poderes estatais e declarar os direitos e as liberdades individuais. Porém, de nada adiantaria a edição de uma Lei Maior sem que houvesse mecanismos de defesa, no intuito de afastar qualquer ameaça à segurança jurídica e à estabilidade social, por conta de alguma lei ou ato normativo contrário aos preceitos estabelecidos na Constituição. O controle de constitucionalidade, pilar do Estado de Direito, consiste em verificar a compatibilidade entre uma lei ou qualquer ato normativo infraconstitucional e a Lei Excelsa e, em havendo contraste, a lei ou o ato viciado deverá ser expurgado do ordenamento jurídico, para que a unidade constitucional seja restabelecida. No Brasil, o controle de constitucionalidade foi instituído sob forte influência do modelo norte-americano e obteve diversos tratamentos ao longo das constituições brasileiras, porém, o sistema de fiscalização de constitucionalidade teve seu ápice com o advento da atual Constituição Federal, promulgada em 05.10.88, com a criação de instrumentos processuais inovadores destinados à verificação da constitucionalidade das leis e atos normativos. Além disso, a Carta da República de 1988, ao contrário das anteriores, fortaleceu a figura do Poder Judiciário no contexto político, conferindo, assim, maior autonomia aos magistrados na solução de casos de grande repercussão nacional, redundando em um protagonismo judicial atual. Nesse contexto, o Supremo Tribunal Federal, órgão de cúpula do Judiciário nacional e guardião da Constituição, tem se destacado no cenário nacional, em especial na defesa dos direitos e garantias fundamentais insculpidos na Lei Fundamental, fazendo-se necessária, desta forma, uma análise na jurisprudência da Corte, no sentido de verificar se, de fato, tem havido evolução no controle de constitucionalidade no Brasil ao longo dos últimos anos e, em caso afirmativo, em que circunstâncias isso tem se dado.

Erstellung einer Blitzschutzrichtlinie für die Produktpalette der FAM im Auftrag der "Gesellschaft für Prozeßautomation mbH" (GPA)"

On the basis of the global use of the FAM installations and systems, their location, type and height, a lightning protection system is required, which protects humans and machines from danger of a lightning. At the beginning the development, the threat and the potential for destruction of lightning are described. Besides the resulting solid normative calculation models and tables are presented. Then, the product portfolio of the FAM is characterized. From this demonstration models are selected; on the one hand a model for the totality of all portable devices and the other hand a model which defines the power plants. Subsequently, the risk management and a strengths and weaknesses analysis are performed. After that, with graphical and mathematical models, these weaknesses as well as the functional equipotential bonding and grounding system and its dimensioning are investigated and solutions are demonstrated. The following is a coordination of lightning protection standard with other directives and standards in order to classify the resulting internal lightning protection and protective measures against electromagnetic pulse and to generate a uniform protection and application platform. Furthermore, problems of the economy of protective circuit is shown and a solution is given. Finally, the indicated possible solutions are replaced by definitions. The main classification and structure of lightning protection directive are shown and exemplarily applied.

Collusion in growing and shrinking markets: empirical evidence from experimental duopolies

We study collusive behaviour in experimental duopolies that compete in prices under dynamic demand conditions. In one treatment the demand grows at a constant rate. In the other treatment the demand declines at another constant rate. The rates are chosen so that the evolution of the demand in one case is just the reverse in time than the one for the other case. We use a box-design demand function so that there are no issues of finding and co-ordinating on the collusive price. Contrary to game-theoretic reasoning, our results show that collusion is significantly larger when the demand shrinks than when it grows. We conjecture that the prospect of rapidly declining profit opportunities exerts a disciplining effect on firms that facilitates collusion and discourages deviation.

Approval voting ion dichotomous preferences

The aim of this paper is to find normative foundations of Approval Voting. In order to show that Approval Voting is the only social choice function that satisfies anonymity, neutrality, strategy-proofness and strict monotonicity we rely on an intermediate result which relates strategy-proofness of a social choice function to the properties of Independence of Irrelevant Alternatives and monotonicity of the corresponding social welfare function. Afterwards we characterize Approval Voting by means of strict symmetry, neutrality and strict monotonicity and relate this result to May's Theorem. Finally, we show that it is possible to substitute the property of strict monotonicity by the one efficiency of in the second characterization.

Una estimación del coste marginal en bienestar del sistema impositivo en España

Actual tax systems do not follow the normative recommendations of yhe theory of optimal taxation. There are two reasons for this. Firstly, the informational difficulties of knowing or estimating all relevant elasticities and parameters. Secondly, the political complexities that would arise if a new tax implementation would depart too much from current systems that are perceived as somewhat egalitarians. Hence an ex-novo overhaul of the tax system might just be non-viable. In contrast, a small marginal tax reform could be politically more palatable to accept and economically more simple to implement. The goal of this paper is to evaluate, as a step previous to any tax reform, the marginal welfare cost of the current tax system in Spain. We do this by using a computational general equilibrium model calibrated to a point-in-time micro database. The simulations results show that the Spanish tax system gives rise to a considerable marginal excess burden. Its order of magnitude is of about 0.50 money units for each additional money unit collected through taxes.

Information-sharing implications of horizontal mergers

We analyze the effects of uncertainty and private information on horizontal mergers. Firms face uncertain demands or costs and receive private signals. They may decide to merge sharing their private information. If the uncertainty parameters are independent and the signals are perfect, uncertainty generates an informational advantage only to the merging firms, increasing merger incentives and decreasing free-riding effects. Thus, mergers become more profitable and stable. These results generalize to the case of correlated parameters if the correlation is not very severe, and for perfect correlation if the firms receive noisy signals. From the normative point of view, mergers are socially less harmful compared to deterministic markets and may even be welfare enhancing. If the signals are, instead, publicly observed, uncertainty does not necessarily give more incentives to merge, and mergers are not always less socially harmful.

Personal redistribution and the regional allocation of public investment

How should an equity-motivated policy-marker allocate public capital (infrastructure) across regions. Should it aim at reducing interregional differences in per capita output, or at maximizing total output? Such a normative question is examined in a model where the policy-marker is exclusively concerned about personal inequality and has access to two policy instruments. (i) a personal tax-transfer system (taxation is distortionary), and (ii) the regional allocation of public investment. I show that the case for public investment as a significant instrument for interpersonal redistribution is rather weak. In the most favorable case, when the tax code is constrained to be uniform across regions, it is optimal to distort the allocation of public investment in favor of the poor regions, but only to a limited extent. The reason is that poor individuals are relatively more sensitive to public trans fers, which are maximized by allocating public investment efficiently. If! the tax code can vary across regions then the optimal policy may involve an allocation of public investment distorted in favor of the rich regions.

A foundation model for marxian breakdown theories based on a new falling rate of profit mechanism (Long version)

The paper presents a foundation model for Marxian theories of the breakdown of capitalism based on a new falling rate of profit mechanism. All of these theories are based on one or more of "the historical tendencies": a rising capital-wage bill ratio, a rising capitalist share and a falling rate of profit. The model is a foundation in the sense that it generates these tendencies in the context of a model with a constant subsistence wage. The newly discovered generating mechanism is based on neo-classical reasoning for a model with land. It is non-Ricardian in that land augmenting technical progress can be unboundedly rapid. Finally, since the model has no steady state, it is necessary to use a new technique, Chaplygin's method, to prove the result.

A foundation model for marxian breakdown theories based on a new falling rate of profit mechanism.

The paper presents a foundation model for Marxian theories of the breakdown of capitalism based on a new falling rate of profit mechanism. All of these theories are based on one or more of ?the historical tendencies?: a rising capital-wage bill ratio, a rising capitalist share and a falling rate of profit. The model is a foundation in the sense that it generates these tendencies in the context of a model with a constant subsistence wage. The newly discovered generating mechanism is based on neo-classical reasoning for a model with land. It is non-Ricardian in that land augmenting technical progress can be unboundedly rapid. Finally, since the model has no steady state, it is necessary to use a new technique, Chaplygin?s method, to prove the result.

Preventive health care and payment systems to providers

Prevention has been a main issue of recent policy orientations in health care. This renews the interest on how different organizational designs and the definition of payment schemes to providers may affect the incentives to provide preventive health care. We present, both the normative and the positive analyses of the change from independent providers to integrated services. We show the evaluation of that change to depend on the particular way payment to providers is done. We focus on the externality resulting from referral decisions from primary to acute care providers. This makes our analysis complementary to most works in the literature allowing to address in a more direct way the issue of preventive health care.

The role of central bank operating procedures in an economy with productive government spending

The choice of either the rate of monetary growth or the nominal interest rate as the instrument controlled by monetary authorities has both positive and normative implications for economic performance. We reexamine some of the issues related to the choice of the monetary policy instrument in a dynamic general equilibrium model exhibiting endogenous growth in which a fraction of productive government spending is financed by means of issuing currency. When we evaluate the performance of the two monetary instruments attending to the fluctuations of endogenous variables, we find that the inflation rate is less volatile under nominal interest rate targeting. Concerning the fluctuations of consumption and of the growth rate, both monetary policy instruments lead to statistically equivalent volatilities. Finally, we show that none of these two targeting procedures displays unambiguously higher welfare levels.

Classical horizontal inequity and reranking: an integrated approach

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have generated two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands. This is achieved using a measure of inequality that merges the well-known Gini coefficient and Atkinson indices, and that allows a decomposition of the total redistributive effect of taxes and transfers in a vertical equity effect and a loss of redistribution due to either classical HI or reranking. An inequality-change approach and a money-metric cost-of-inequality approach are developed. The latter approach makes aggregate classical HI decomposable across groups. As in recent work, equals are identified through a nonparametric estimation of the joint density of gross and net incomes. An illustration using Canadian data from 1981 to 1994 shows a substantial, and increasing, robust erosion of redistribution attributable both to classical HI and to reranking, but does not reveal which of reranking or classical HI is more important since this requires a judgement that is fundamentally normative in nature.

Absolute and relative deprivation and the measurement of poverty

This paper develops the link between poverty and inequality by focussing on a class of poverty indices (some of them well-known) which aggregate normative concerns for absolute and relative deprivation. The indices are distinguished by a parameter that captures the ethical sensitivity of poverty measurement to ``exclusion'' or ``relative-deprivation'' aversion. We also show how the indices can be readily used to predict the impact of growth on poverty. An illustration using LIS data finds that he United States show more relative deprivation than Denmark and Belgium whatever the percentiles considered, but that overall deprivation comparisons of the four countries considered will generally necessarily depend on the intensity of the ethical concern for relative deprivation. The impact of growth on poverty is also seen to depend on the presence of and on the attention granted to concerns over relative deprivation. }