Contributions to the Theory of Optimal Tests

This paper considers tests which maximize the weighted average power (WAP). The focus is on determining WAP tests subject to an uncountable number of equalities and/or inequalities. The unifying theory allows us to obtain tests with correct size, similar tests, and unbiased tests, among others. A WAP test may be randomized and its characterization is not always possible. We show how to approximate the power of the optimal test by sequences of nonrandomized tests. Two alternative approximations are considered. The rst approach considers a sequence of similar tests for an increasing number of boundary conditions. This discretization allows us to implement the WAP tests in practice. The second method nds a sequence of tests which approximate the WAP test uniformly. This approximation allows us to show that WAP similar tests are admissible. The theoretical framework is readily applicable to several econometric models, including the important class of the curved-exponential family. In this paper, we consider the instrumental variable model with heteroskedastic and autocorrelated errors (HAC-IV) and the nearly integrated regressor model. In both models, we nd WAP similar and (locally) unbiased tests which dominate other available tests.

Compliance to law and effectiveness of the rule of law in Brazil

The goal of this paper is to debate the degree of effectiveness of the rule of law in Brazil, through a survey measuring perceptions, attitudes and habits of Brazilians in regard to compliance to law. The survey conducted in Brazil is based on the study conducted by Tom R. Tyler in the United States, entitled Why People Obey the Law? (New Haven, CT: Yale University Press, 1990). The main argument of Tyler´s study is that people obey the law when they believe it’s legitimate, and not because they fear punishment. We test the same argument in Brazil, relying on five indicators: (i) behavior, which depicts the frequency with which respondents declared to have engaged in conducts in disobedience to the law; (ii) instrumentality, measuring perception of losses associated with the violation of the law, specially fear of punishment; (iii) morality, measuring perception of how much is right or wrong to engage in certain conducts in violation of the law; (iv) social control, which measures perception of social disapproval of certain types of behavior in violation of the law, and (v) legitimacy, which measures the perception of respect to the law and to some authorities. Results indicate that fear of sanctions is not the strongest drive in compliance to law, but more than legitimacy, indicators of morality and social control are the strongest in explaining why people obey the law in Brazil.

The role of law and public-private collaboration in promoting innovative firms in Brazil: the case of the BNDES and the “criatec fund”

This paper presents the result of a qualitative empirical research about the “Criatec Fund”, a venture capital fund, privately managed and directed to innovative firms, that was created in 2007 by the Brazilian Development Bank (BNDES). The paper discusses the role of law in the implementation of the Criatec Fund in three different legal dimensions: structural, regulatory and contractual. Based on interviews, this paper tries to test some hypothesis previously formulated by some scholars that studied new financial policies created by the BNDES. This study explains the institutional arrangements of this seed capital policy and the role of flexible legal instruments in the execution of this peculiar type of publicprivate partnership. It also poses some questions to the “law and development agenda” based on some insights from the economic sociology of law.

Disputing the application of laws: the constitutionality of the Brazilian Statute against domestic violence in the courts

This study aimed to map the key positions regarding the constitutionality of the Maria da Penha Law (Law 11.340/2006) in the Brazilian judicial system. The law, the result of political struggles by the Brazilian feminist movement, has been the subject of discussions in the public sphere and actions aimed at consolidating its constitutionality before the Federal Supreme Court. We examined and discussed the arguments used in the Courts, intending to show that the creation of law is not limited to the legislative moment, but rather that its social meaning is also constituted through disputes within the Judiciary.

Important, unimportant a critical anticipation of the assumptions of legal positivism in Alice in Wonderland

Almost a full century separates Lewis’ Alice in Wonderland (1865) and the second, lengthier and more elaborate edition of Hans Kelsen’s Pure Theory of Law (1960; first edition published in 1934). And yet, it is possible to argue that the former anticipates and critically addresses many of the philosophical assumptions that underlie and are elemental to the argument of the latter. Both texts, with the illuminating differences that arise from their disparate genre, have as one of their key themes norms and their functioning. Wonderland, as Alice soon finds out, is a world beset by rules of all kinds: from the etiquette rituals of the mad tea-party to the changing setting for the cricket game to the procedural insanity of the trial with which the novel ends. Pure Theory of Law, as Kelsen emphatically stresses, has the grundnorm as the cornerstone upon which the whole theoretical edifice rests2. This paper discusses some of the assumptions underlying Kelsen’s argument as an instance of the modern worldview which Lewis satirically scrutinizes. The first section (Sleepy and stupid) discusses Lewis critique of the idea that, to correctly apprehend an object (in the case of Kelsen’s study, law), one has to free it from its alien elements. The second section (Do bats eat cats?) discusses the notion of systemic coherence and its impact on modern ways of thinking about truth, law and society. The third section (Off with their heads!) explores the connections between readings of systems as neutral entities and the perpetuation of political power. The fourth and final section (Important, Unimportant) explains the sense in which a “critical anticipation” is both possible and useful to discuss the philosophical assumptions structuring some positivist arguments. It also discusses the reasons for choosing to focus on Kelsen’s work, rather than on that of Lewis’ contemporary, John Austin, whose The Province of Jurisprudence Determined (published in 1832) remains influential in legal debates today.

A theory of weekly specials

Multiproduct retailers facing similar costs and serving the same public commonly announce different weekly specials. These promotional prices also seem to evolve randomly over the weeks. Here, weekly specials are viewed as the strategic outcome of an oligopolistic price competition among multiproduct retail stores facing nonconvex costs. Existence of an equilibrium in mixed strategies is proven. ldentical stores serving the same public will never charge the same price vector with probability one (cross-store price dispersion). Mixed strategies can generate random price dispersion over time in the repeated version of the mode!.

Toward a theory of international currency : a step further

We generalize the two-country, two-currency model of Matsuyama, Kiyotaki and Matsui to resolve two "shortcomings" in their approach. First, we endogenize prices and excb.ange rates. Second, we introduce monetary policy. We then use the model to address the following new questions: How does the fact that a currency circulates intemationally affect its purcb.asing power? Where does an intemational currency purcb.ase more? What are the effects on seignorage and welfare when a currency becomes intemational? How is policy affected by concems of currency substitution? How are national monetary policies connected, and what is the scope for international cooperation?

A model of the rule of law

Economic development requires some limits on what those in power can do | the rule of law | but how can restraints be imposed on the powerful when there is no-one above them? This paper studies equilibrium rules allocating power and resources established by selfinterested incumbents under the threat of rebellions from inside and outside the group in power. Commitment to uphold individuals' rights can only be achieved if power is not as concentrated as incumbents would like it to be, ex post. Power sharing endogenously enables incumbents to commit to otherwise time-inconsistent laws by ensuring more people receive rents under the status quo, and thus want to defend it.

Políticas de conteúdo local: crescimento econômico e rule of law

As chamadas Políticas de Conteúdo Local (“PCLs”) fazem parte de um grupo de políticas desenvolvimentistas adotadas em todo o mundo com o objetivo de maximizar os benefícios sociais e econômicos decorrentes de determinadas atividades econômicas. Neste trabalho, analisaram-se, principalmente, as PCLs relativas à extração e produção de petróleo e gás. O instituto é juridicamente polêmico, uma vez que, além de ser difícil de definir, é instrumentalizado por diversos atos normativos diferentes. Tal situação agrava-se com o fato de que o desenho de cada PCL pode sugerir ou impor diversas medidas de implementação diferentes, com impactos nas diferentes áreas do Direito. Considerando este cenário, aponta-se que o principal objetivo deste trabalho é a análise de transplantes ao nosso ordenamento jurídico de PCLs bem-sucedidas em ordenamentos jurídicos estrangeiros. Para isso, demonstrou-se, em um primeiro momento, que o instituto das PCLs deve ser reinterpretado à luz da Constituição vigente. Isso porque as PCLs foram criadas em uma época em que a escola desenvolvimentista principal era a keynesiana, que foi substituída atualmente pela escola do Rule of Law. Embora nosso ordenamento jurídico tenha acompanhado essa evolução (através de Emendas Constitucionais e adoção de determinadas leis), as PCLs não acompanharam e, por isso, precisam sofrer essa releitura. Nesse sentido, extraíram-se da Lei quatro elementos principais que as PCLs devem preencher para estar em consonância com o Rule of Law: (A) Benefícios aos Consumidores Finais; (B) Sustentabilidade; (C) Transetorialidade; e (D) Ampliação do Mercado de Trabalho. Em sequência, classificaram-se as diversas PCLs mapeadas, exemplificando cada uma. Ao longo da classificação, apontaram-se três critérios que facilitam a identificação das maiores dificuldades jurídicas em cada transplante: (A) Canal; (B) Natureza; e (C) Instrumento. Por fim, quatro PCLs estrangeiras bem-sucedidas foram escolhidas para uma análise mais aprofundada: a Kazakhstan Contract Agency, no Cazaquistão, a Petro Arctic Supplier Asssociation, na Noruega, o Australian Industry Participation Plan na Austrália e o Nigerian Oil & Gas Content Industry Development Act, na Nigéria. Para cada uma, é dedicada uma análise especial. As análises são seguidas pela Conclusão.

A Theory of voter experimentation in repeated elections

Nesse artigo, eu desenvolvo e analiso um modelo de dois perí odos em que dois polí ticos competem pela preferência de um eleitor representativo, que sabe quão benevolente é um dos polí ticos mas é imperfeitamente informado sobre quão benevolente é o segundo polí tico. O polí tico conhecido é interpretado como um incumbente de longo prazo, ao passo que o polí tico desconhecido é interpretado como um desa fiante menos conhecido. É estabelecido que o mecanismo de provisão de incentivos inerente às elei cões - que surge através da possibilidade de não reeleger um incumbente - e considerações acerca de aquisi cão de informa cão por parte do eleitor se combinam de modo a determinar que em qualquer equilí brio desse jogo o eleitor escolhe o polí tico desconhecido no per íodo inicial do modelo - uma a cão à qual me refi ro como experimenta cão -, fornecendo assim uma racionaliza cão para a não reelei cão de incumbentes longevos. Especifi camente, eu mostro que a decisão do eleitor quanto a quem eleger no per odo inicial se reduz à compara cão entre os benefí cios informacionais de escolher o polí tico desconhecido e as perdas econômicas de fazê-lo. Os primeiros, que capturam as considera cões relacionadas à aquisi cão de informa cão, são mostrados serem sempre positivos, ao passo que as últimas, que capturam o incentivo à boa performance, são sempre não-negativas, implicando que é sempre ótimo para o eleitor escolher o polí tico desconhecido no per íodo inicial.

The spenders-hoarders theory of capital accumulations, wealth distribution and fiscal policy

This paper proposes a simple OLG model which is consistent with the essential facts about consumer behavior, capital accumulation and wealth distribution, and yields some new and surprising conclusions about fiscal policy. By considering a society in which individuais are distinguished according to two characteristics, altruism and wealth preference, we show that those who in the long run hold the bulk of private capital are not so rnuch motivated by dynastic altruism as by preference for wealth. Two types of social segmentation can result with different wcalth distribution. To a large extcnt our results seem to fit reality better than those obtained with standard optimal growth models in which dynastic altruism ( or r ate o f impatience) is the only source of heterogeneity: overaccumulation can appear, public debt and unfunded pensions are not neutra!, estate taxation can improve the welfare of the top wealthy.

Theory of small aspect ratio waves in deep water

In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water) without potential flow assumption. The resulting equation is shown to sustain periodic waves which on the one side tend to the proper linear limit at small amplitudes, on the other side possess a threshold amplitude where wave crest peaking is achieved. An explicit expression of the crest angle at wave breaking is found in terms of the wave velocity. By numerical simulations, stable soliton-like solutions (experiencing elastic interactions) propagate in a given velocities range on the edge of which they tend to the peakon solution. (c) 2005 Elsevier B.V. All rights reserved.

On the algebraic K theory of the massive D8 and M9-branes

In this paper we review some basic relations of algebraic K theory and we formulate them in the language of D-branes. Then we study the relation between the D8-branes wrapped on an orientable, compact manifold W in a massive Type IIA, supergravity background and the M9-branes wrapped on a compact manifold Z in a massive d = 11 supergravity background from the K-theoretic point of view. By interpreting the D8-brane charges as elements of K-0(C(W)) and the (inequivalent classes of) spaces of gauge fields on the M9-branes as the elements of K-0(C(Z) x ((k) over bar*) G) where G is a one-dimensional compact group, a connection between charges and gauge fields is argued to exists. This connection could be realized as a composition map between the corresponding algebraic K theory groups.

Higher-derivative theory of (2+1)-dimensional gravity

Higher-derivative gravity in 2 + 1 dimensions is considered. The general solution of the linearized field equations in a three-dimensional version of the Teyssandier gauge is obtained, and from that the solution for a static pointlike source is found. The deflection of light rays is also analysed. (C) 2001 Elsevier B.V. B.V. All rights reserved.