A comment on "Rational learning lead to nash equilibrium" by professors Ehud Kalai and Ehud Lehrer

Kalai and Lebrer (93a, b) have recently show that for the case of infinitely repeated games, a coordination assumption on beliefs and optimal strategies ensures convergence to Nash equilibrium. In this paper, we show that for the case of repeated games with long (but finite) horizon, their condition does not imply approximate Nash equilibrium play. Recently Kalai and Lehrer (93a, b) proved that a coordination assumption on beliefs and optimal strategies, ensures that pIayers of an infinitely repeated game eventually pIay 'E-close" to an E-Nash equilibrium. Their coordination assumption requires that if players believes that certain set of outcomes have positive probability then it must be the case that this set of outcomes have, in fact, positive probability. This coordination assumption is called absolute continuity. For the case of finitely repeated games, the absolute continuity assumption is a quite innocuous assumption that just ensures that pIayers' can revise their priors by Bayes' Law. However, for the case of infinitely repeated games, the absolute continuity assumption is a stronger requirement because it also refers to events that can never be observed in finite time.

Forecasting electricity demand using generalized long memory

This paper studies the electricity hourly load demand in the area covered by a utility situated in the southeast of Brazil. We propose a stochastic model which employs generalized long memory (by means of Gegenbauer processes) to model the seasonal behavior of the load. The model is proposed for sectional data, that is, each hour’s load is studied separately as a single series. This approach avoids modeling the intricate intra-day pattern (load profile) displayed by the load, which varies throughout days of the week and seasons. The forecasting performance of the model is compared with a SARIMA benchmark using the years of 1999 and 2000 as the out-of-sample. The model clearly outperforms the benchmark. We conclude for general long memory in the series.

Essays on the general equilibrium effects of barriers to trade on economic growth, foreign trade and the location of economic activity in Brazil

This work presents a fully operational interstate CGE model implemented for the Brazilian economy that tries to quantify both the role of barriers to trade on economic growth and foreign trade performance and how the distribution of the economic activity may change as the country opens up to foreign trade. Among the distinctive features embedded in the model, modeling of external scale economies, port efficiency and land-maritime transport costs provides an innovative way of dealing explicitly with theoretical issues related to integrated regional systems. In order to illustrate the role played by the quality of infrastructure and geography on the country‟s foreign and interregional trade performance, a set of simulations is presented where barriers to trade are significantly reduced. The relative importance of trade policy, port efficiency and land-maritime transport costs for the country trade relations and regional growth is then detailed and quantified, considering both short run as well as long run scenarios. A final set of simulations shed some light on the effects of liberal trade policies on regional inequality, where the manufacturing sector in the state of São Paulo, taken as the core of industrial activity in the country, is subjected to different levels of external economies of scale. Short-run core-periphery effects are then traced out suggesting the prevalence of agglomeration forces over diversion forces could rather exacerbate regional inequality as import barriers are removed up to a certain level. Further removals can reverse this balance in favor of diversion forces, implying de-concentration of economic activity. In the long run, factor mobility allows a better characterization of the balance between agglomeration and diversion forces among regions. Regional dispersion effects are then clearly traced-out, suggesting horizontal liberal trade policies to benefit both the poorest regions in the country as well as the state of São Paulo. This long run dispersion pattern, on one hand seems to unravel the fragility of simple theoretical results from recent New Economic Geography models, once they get confronted with more complex spatially heterogeneous (real) systems. On the other hand, it seems to capture the literature‟s main insight: the possible role of horizontal liberal trade policies as diversion forces leading to a more homogeneous pattern of interregional economic growth.

Approximate recursive equilibrium with minimal state space

This paper shows existence of approximate recursive equilibrium with minimal state space in an environment of incomplete markets. We prove that the approximate recursive equilibrium implements an approximate sequential equilibrium which is always close to a Magill and Quinzii equilibrium without short sales for arbitrarily small errors. This implies that the competitive equilibrium can be implemented by using forecast statistics with minimal state space provided that agents will reduce errors in their estimates in the long run. We have also developed an alternative algorithm to compute the approximate recursive equilibrium with incomplete markets and heterogeneous agents through a procedure of iterating functional equations and without using the rst order conditions of optimality.

Otimização de alavancagem e gestão de risco em estratégias long-short

Alavancagem em hedge funds tem preocupado investidores e estudiosos nos últimos anos. Exemplos recentes de estratégias desse tipo se mostraram vantajosos em períodos de pouca incerteza na economia, porém desastrosos em épocas de crise. No campo das finanças quantitativas, tem-se procurado encontrar o nível de alavancagem que otimize o retorno de um investimento dado o risco que se corre. Na literatura, os estudos têm se mostrado mais qualitativos do que quantitativos e pouco se tem usado de métodos computacionais para encontrar uma solução. Uma forma de avaliar se alguma estratégia de alavancagem aufere ganhos superiores do que outra é definir uma função objetivo que relacione risco e retorno para cada estratégia, encontrar as restrições do problema e resolvê-lo numericamente por meio de simulações de Monte Carlo. A presente dissertação adotou esta abordagem para tratar o investimento em uma estratégia long-short em um fundo de investimento de ações em diferentes cenários: diferentes formas de alavancagem, dinâmicas de preço das ações e níveis de correlação entre esses preços. Foram feitas simulações da dinâmica do capital investido em função das mudanças dos preços das ações ao longo do tempo. Considerou-se alguns critérios de garantia de crédito, assim como a possibilidade de compra e venda de ações durante o período de investimento e o perfil de risco do investidor. Finalmente, estudou-se a distribuição do retorno do investimento para diferentes níveis de alavancagem e foi possível quantificar qual desses níveis é mais vantajoso para a estratégia de investimento dadas as restrições de risco.

The long term effects of Bolsa Família on child labour and school enrolment

In this paper we study the e ects of conditional cash transfers in school enrolment and tackling child labour. We develop a dynamic heterogeneous agent general equilibrium model, where households face a set of tradeo s while allocating their children's time in leisure activities, schooling and working. We calibrate the model using data from the Brazilian survey PNAD, before the policy was implemented, in order to quantify the e ects of a conditional transfer. We then evaluate the results of a policy experiment that implements a conditional cash transfer scheme similar to the Brazilian Bolsa Fam lia. Our results suggest that the program, in the long term, is able to substantially increase school registration and reduce child labour and poverty. In addition, we nd out that a progressive conditional cash transfer results is even more e ective in tackling child labour and increasing school enrolment.

The long term effects of Bolsa Família on child labour and school enrollment

Neste trabalho, estudamos os impactos de transfer^encias condicionais de renda sobre o trabalho e a educa c~ao infantis. Para tanto, desenvolvemos modelo din^amico de equil brio geral com agentes heterog^eneos, onde as fam lias enfrentam tradeo s com rela c~ao a aloca c~ao de tempo das crian cas em atividades de lazer, em escolaridade e em trabalhar. O modelo e calibrado usando dados da Pesquisa Nacional por Amostra em Domic lios, de modo que podemos quanti car os efeitos de uma pol tica de transfer^encia de renda. Finalmente, avaliamos o impacto de um pol tica semelhante ao atual Bolsa Fam lia. Nossos resultados sugerem que o programa, no longo prazo, e capaz de induzir um aumento substancial na escolaridade, al em de ser efetivo na redu c~ao do trabalho infantil e da pobreza. Al em disso, mostramos que um programa progressivo de transfer^encia condicional de renda resulta em benef cios ainda maiores.

Os efeitos macroeconômicos das transferências sociais: uma abordagem de matriz de contabilidade social

Government transfers to individuals and families play a central role in the Brazilian social protection system, accounting for almost 14 per cent of GDP in 2009. While their fiscal and redistributive impacts have been widely studied, the macroeconomic effects of transfers are harder to ascertain. We constructed a Social Accounting Matrix (SAM) for 2009 and estimated short-term multipliers for seven different government monetary transfers . The SAM is a double-entry square matrix depicting all income flows in the economy. The data were compiled from the 2009 Brazilian National Accounts and the 2008/2009 POF, a household budget survey. Our SAM was disaggregated into 56 sectors, 110 commodities, 200 household groups and seven factors of production (capital plus six types of labor, according to schooling). Finally, we ran a set of regressions to separate household consumption into ‘autonomous’ (or ‘exogenous’) and ‘endogenous’ components. More specifically, we are interested in the effects of an exogenous injection into each of the seven government transfers outlined above. All the other accounts are thus endogenous. The so-called demand ‘leaks’ are income flows from the endogenous to exogenous accounts. Leaks—such as savings, taxes and imports—are crucial to determine the multiplier effect of an exogenous injection, as they allow the system to go back to equilibrium. The model assumes that supply is perfectly elastic to demand shocks. It assumes that the families’ propensity to save and consumption profile are fixed—that is, rising incomes do not provoke changes in behaviour. The multiplier effects of the on GDP corresponds to the growth in GDP resulting from each additional dollar injected into each transfer seven government transfers. If the government increased Bolsa Família expenditures by 1 per cent of GDP, overall economic activity would grow by 1.78 per cent, the highest effect. The Continuous Cash Benefit, comes second. Only three transfers— the private-sector and public servants’ pensions and FGTS withdrawals—had multipliers lower than unity. The multipliers for other relevant macroeconomic aggregates—household and total consumption, disposable income etc. —reveal a similar pattern. Thus, under the stringent assumptions of our model, we cannot reject the hypothesis that government transfers targeting poor households, such as the Bolsa Família, help foster economic expansion. Naturally, it should be stressed that the multipliers relate marginal injections into government transfers to short-term economic performance either real growth, or inflation if there is no idle capacity which is also useful to analyze. In the long term, there is no doubt that what truly matters is the growth of the country’s productive capacity.