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We propose a statistical duality among the preferences and endowments of the agents. Under this duality, the logarithmic prices of random trades among agents in a decentralized economy converge in expectation to the logarithm of the Walrasian equilibrium price in a centralized economy.

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RESUMO - É fundamental conhecer hábitos alimentares e nutricionais de uma população, para poder intervir na promoção da saúde da mesma. Com este estudo epidemiológico transversal representativo da população portuguesa adulta (dados da SPCNA), pretendeu-se conhecer o padrão nutricional de ingestão quer energética quer em macronutrientes. Por entrevista individualizada (domicílio), registaram-se dados sociodemográficos e avaliou-se a ingestão alimentar, por questionário, das 24 h anteriores. Assim, os portugueses ingerem em média: 2.056 kcal/dia, 19,1% de proteínas, 31,3% de gordura, 45,8% de hidratos de carbono e 3,8% de etanol. Estes dados serão válidos para intervenções adequadas na saúde pública portuguesa.;ABSTRACT - Gathering knowledge about food and nutritional habits of a population is of the utmost importance since dietary intervention positively impacts health outcomes across the life span. With this transversal epidemiologic study representative of the adult Portuguese population (data from SPCNA), we tried to know the nutritional intake pattern (energy and macronutrients) of the Portuguese population. In an domiciliary individualized interview sociodemographic data were registered and food intake was evaluated by the 24-hour recall method. Portuguese energy intake, is on average, 2056 kcal/day, distributed by 19.1% of protein, 45.8% of carbohydrates and 31.3% of total fat, and 3.8% of ethanol. These data will be important to Portuguese public health interventions.

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