522 research outputs found

    Sustainability, optimality, and viability in the Ramsey model

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    The Ramsey model of economic growth is revisited from the point of view of viability. A viable state is a state from which there exists at least one tra jectory that remains in the set of constraints of minimal consumption and positive wealth. Viability is presented with a constraint of minimal consumption, then with an additional criterion of economic sustainability. The comparison of viability kernels with or without sustainability shows how much consumption should be reduced and when. The viable-optimal solution in the sense of inter-temporal consumption is obtained on the viability boundary of an auxiliary system. Technological progress works against population growth to favor the possibility for a given state of being viable or viable-sustainable.viability theory, optimization, sustainability, Ramsey model

    Sustainability, optimality, and viability in the Ramsey model

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    The Ramsey model of economic growth is revisited from the point of view of viability compared to optimality. A viable state is a state from which there exists at least one trajectory in capital, consumption, and reproduction that remains in the set of constraints of minimal consumption and positive wealth. There exists a largest set of viable states, including all others, called the viability kernel. This concept is an interesting addition to those of equilibria and optimal paths. Viability is first presented with a constraint of minimal consumption, then with an additional criterion of economic sustainability in the sense of the Brundtland commission, which amounts to requiring a non-decreasing social welfare. The comparison of viability kernels with or without sustainability shows how much consumption should be reduced and when. One strong mathematical result is that the viable-optimal solution in the sense of inter-temporal consumption is obtained on the viability boundary of an auxiliary system. Varying preference, technological, and demographic parameters randomly over simulated viability kernels with and without the Brundtland criterion help identify the determinants of the non-emptiness of the viability kernel and of its volume: technological progress works against population growth to favor the possibility for a given state of being viable or viable-sustainable.Viability theory, Optimization, Sustainability, Ramsey model

    Du jardin d'essais colonial à la station expérimentale 1880-1930. : éléments pour une histoire du CIRAD

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    Cet essai historique sur la recherche agronomique tropicale française comprend deux textes : mise en valeur de l'empire colonial et naissance de l'agronomie tropicale (C. Bonneuil); aux origines de la recherche agronomique tropicale : naissance des institutions (M. Kleiche

    Viable Nash Equilibria in the Problem of Common Pollution

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    Ce working paper fait l'objet d'une publication in Pure and Applied Functional Analysis (online journal), Yokohama Publishers, 2017, 2 (3), pp.427-440. 〈http://www.ybook.co.jp/online2/oppafa/vol2/p427.html〉. 〈hal-01691187〉Two countries produce goods and are penalized by the common pollution they generate. Each country maximizes an inter-temporal utility criterion, taking account of the pollution stock to which both contribute. The dynamic is in continuous time with possible sudden switches to less polluting technologies. The set of Nash equilibria, for which solutions also remain in the set of constraints, is the intersection of two manifolds in a certain state space. At the Nash equilibrium, the choices of the two countries are interdependent: different productivity levels after switching lead the more productive country to hasten and the less productive to delay the switch. In the absence of cooperation, efforts by one country to pollute less motivate the other to pollute more, or encourage the country that will be cleaner or less productive country after switching to delay its transition

    Longevity, Age-Structure, and Optimal Schooling

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    The mechanism stating that longer life implies larger investment in human capital, is premised on the view that individual decision-making governs the relationship between longevity and education. This relationship is revisited here from the perspective of optimal period school life expectancy, obtained from the utility maximization of the whole population characterized by its age structure and its age-specific fertility and mortality. Realistic life tables such as model life tables are mandatory, because the age distribution of mortality matters, notably at infant and juvenile ages. Optimal period school life expectancy varies with life expectancy and mortality. The application to French historical data from 1806 to nowadays shows that the population age structure has indeed modified the relationship between longevity and optimal schooling

    Le temps des populations humaines

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    Noël Bonneuil, directeur d’études Systèmes dynamiques en démographie Le séminaire s’appuie sur les propres recherches des étudiants, cette année économistes, historiens, et démographes. Ceux-ci trouvent dans ce séminaire l’opportunité d’étayer leurs réflexions par une construction mathématique, statistique ou économétrique. Ainsi, la sociologie et l’économie d’une cité ouvrière en Normandie au début du XXe siècle, le suivi au cours de la vie active des emplois d’étrangers, la dynamique de ven..

    Mettre en ordre et discipliner les tropiques : les sciences du végétal dans l'Empire français, 1870-1940

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    À l'interface de l'histoire sociale des sciences et de l'histoire de l'expansion française, ce travail explore les modalités par lesquelles les colonisateurs se sont efforcés de se rendre scientifiquement « maîtres et possesseurs de la nature » tropicale. Les principaux thèmes abordés par cette ethnographie des experts de la « mise en valeur » sont : - La caractérisation de trois « micromondes » où se forgent des pratiques de mise en ordre et des représentations de la nature tropicale..

    Le temps des populations

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    Noël Bonneuil, directeur d’études Systèmes dynamiques en démographie Le séminaire a été scindé en deux cette année. La première partie s’adressait à des étudiants historiens et sociologues. Elle a porté sur l’étude économétrique et statistique du changement dans le cas de migrants arrivant en France dans le but de fonder un commerce. Les étudiants ont été amenés à mettre en œuvre l’analyse des biographies, l’analyse factorielle des correspondances et les modèles de données qualitatives. La se..
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