Global stabilizing feedback law for a problem of biological control of mosquito-borne diseases

The control of the spread of dengue fever by introduction of the intracellular parasitic bacterium Wolbachia in populations of the vector Aedes aegypti, is presently one of the most promising tools for eliminating dengue, in the absence of an efficient vaccine. The success of this operation requires locally careful planning to determine the adequate number of mosquitoes carrying the Wolbachia parasite that need to be introduced into the natural population. The latter are expected to eventually replace the Wolbachia-free population and guarantee permanent protection against the transmission of dengue to human. In this paper, we propose and analyze a model describing the fundamental aspects of the competition between mosquitoes carrying Wolbachia and mosquitoes free of the parasite. We then introduce a simple feedback control law to synthesize an introduction protocol, and prove that the population is guaranteed to converge to a stable equilibrium where the totality of mosquitoes carry Wolbachia. The techniques are based on the theory of monotone control systems, as developed after Angeli and Sontag. Due to bistability, the considered input-output system has multivalued static characteristics, but the existing results are unable to prove almost-global stabilization, and ad hoc analysis has to be conducted.

Entrepreneurial risk and labour's share in output

This paper presents a theoretical model which discusses the role played by the entrepreneurial risk on the distribution of the national income. In a two-period general equilibrium framework with competitive risk-averse entrepreneurs it is shown that the highest the risk borne by firms, the lower will be real wages, employment and the labour's share in output. The model helps explain the fall of the labour's share in the Brazilian output during the 1980s.

Output convergence in Mercosur: multivariate time series evidence

The aim of this paper is to provide evidence on output convergence among the Mercosur countries and associates, using multivariate time-series tests. The methodology is based on a combination of tests and estimation procedures, both univariate and multivariate, applied to the differences in per capita real income. We use the definitions of time-series convergence proposed by Bernard & Durlauf and apply unit root and tests proposed by Abuaf & Jorion and Taylor & Sarno. In this same multivariate context, the Flôres, Preumont & Szafarz and Breuer, MbNown & Wallace tests, which allow for the existence of correlations across the series without imposing a common speed of mean reversion, identify the countries that convergence. Concerning the empirical results, there is evidence of long-run convergence or, at least, catching up, for the smaller countries, Bolivia, Paraguay, Peru and Uruguay, towards Brazil and, to some extent, Argentina. In contrast, the evidence on convergence for the larger countries is weaker, as they have followed different (or rather opposing) macroeconomic policy strategies. Thus the future of the whole area will critically depend on the ability of Brazil, Argentina and Chile to find some scope for more cooperative policy actions.

Do shocks permanently change output? : Local persistency in economic time series

While it is recognized that output fuctuations are highly persistent over certain range, less persistent results are also found around very long horizons (Conchrane, 1988), indicating the existence of local or temporary persistency. In this paper, we study time series with local persistency. A test for stationarity against locally persistent alternative is proposed. Asymptotic distributions of the test statistic are provided under both the null and the alternative hypothesis of local persistency. Monte Carlo experiment is conducted to study the power and size of the test. An empirical application reveals that many US real economic variables may exhibit local persistency.

The evolution of international output differences (1960-2000): From factors to productivity

This article presents a group of exercises of level and growth decomposition of output per worker using cross-country data from 1960 to 2000. It is shown that at least until 1975 factors of production (capital and education) were the main source of output dispersion across economies and that productivity variance was considerably smaller than in late years. Only after this date the prominence of productivity started to show up in the data, as the majority of the literature has found. The growth decomposition exercises showed that the reversal of relative importance of productivity vis-a-vis factors is explained by the very good (bad) performance of productivity of fast (slow) growing economies. Although growth in the period, on average, is mostly due to factors accumulation, its variance is explained by productivity.

Tayloring Brazil: a system dynamics model for monetary policy feedback

The thesis introduces a system dynamics Taylor rule model of new Keynesian nature for monetary policy feedback in Brazil. The nonlinear Taylor rule for interest rate changes con-siders gaps and dynamics of GDP growth and inflation. The model closely tracks the 2004 to 2011 business cycle and outlines the endogenous feedback between the real interest rate, GDP growth and inflation. The model identifies a high degree of endogenous feedback for monetary policy and inflation, while GDP growth remains highly exposed to exogenous eco-nomic conditions. The results also show that the majority of the monetary policy moves during the sample period was related to GDP growth, despite higher coefficients of inflation parameters in the Taylor rule. This observation challenges the intuition that inflation target-ing leads to a dominance of monetary policy moves with respect to inflation. Furthermore, the results suggest that backward looking price-setting with respect to GDP growth has been the dominant driver of inflation. Moreover, simulation exercises highlight the effects of the new BCB strategy initiated in August 2011 and also consider recession and inflation avoid-ance versions of the Taylor rule. In methodological terms, the Taylor rule model highlights the advantages of system dynamics with respect to nonlinear policies and to the stock-and-flow approach. In total, the strong historical fit and some counterintuitive observations of the Taylor rule model call for an application of the model to other economies.

Estimating the output gap: a SVAR approach

O presente trabalho tem por objetivo calcular o hiato do produto por meio da identificação de choques de demanda estimados por um SVAR e estudar, em um modelo de pequeno porte que utiliza essa medida de hiato, como se dá a interdependência entre a política fiscal, a política monetária e a inflação. Essa abordagem identifica uma maior sensibilidade da inflação à política fiscal do que nas estimativas usuais encontradas na literatura brasileira. Por outro lado, as estimativas para a sensibilidade da inflação à política monetária estão em linha com os resultados de outros trabalhos. A principal vantagem desta metodologia é a identificação de choques de demanda em momentos de mudança da trajetória de produto potencial, como recentemente ocorreu na economia brasileira. Além disso, ela aponta uma possível explicação para o recente paradoxo entre o baixo crescimento da atividade e a alta inflação.

The evolution of international output differences (1960-2000) : from factor to productivity

This article presents a group of exercises of leveI and growth decomposition of output per worker using cross-collntry data from 1960 to :2000. It is shown that at least llntil 197.5 factors of production (capital anel education) ",ere the main source of output dispersion across ecoIlomies and that productivity variance was considerably srnaller than in late years. Qnly after this date the prominence of productivity started to sho\\' up in the data. as the majority of the litcrature has found. The gro\\'th decomposition exercises showecl that t he reversal of relative irnportance of proeluctivity vis-a-\'is factors is explainecl by the very good (bad) performance of procluctivity of fast (slow) growing cconomies. Although growth in the pcriod, on avcragc. is mostly clue to factors accumulation. its variance is explained by productivity.

Contracting with repeated moral hazard and private evaluations

A repeated moral hazard setting in which the Principal privately observes the Agent’s output is studied. It is shown that there is no loss from restricting the analysis to contracts in which the Agent is supposed to exert effort every period, receives a constant efficiency wage and no feedback until he is fired. The optimal contract for a finite horizon is characterized, and shown to require burning of resources. These are only burnt after the worst possible realization sequence and the amount is independent of both the length of the horizon and the discount factor (δ). For the infinite horizon case a family of fixed interval review contracts is characterized and shown to achieve first best as δ → 1. The optimal contract when δ << 1 is partially characterized. Incentives are optimally provided with a combination of efficiency wages and the threat of termination, which will exhibit memory over the whole history of realizations. Finally, Tournaments are shown to provide an alternative solution to the problem.