A note to mathematical aspects of the political decision theory
This study presents an evaluation of the economic capacity for the year 1988 of each of the 1919 censual sections that Barcelona is divided into. In view of the confidential nature of all information concerning incomes and resources, we have employed an indirect method of estimation using all the territorial information available at the highest level of disaggregation, that is the censual sections. This evaluation gathers variable indicators of income distribution and wealth, and without being exacly...
Après avoir rappelé les conditions et le théorème d'Arrow, l'article présente une classe de procédures d'agrégation à seuil, dont les cas particuliers sont la règle de l'unanimité et la procédure majoritaire de Condorcet. La première apparaît comme une procédure très prudente mais pauvre, la seconde comme une procédure plus riche mais risquée. Choisir un seuil est alors choisir une procédure intermédiaire entre ces deux procédures extrêmes. L'article discute alors de conditions dans lesquelles peuvent...
The paper studies risk aversion and prudence of an agent in the face of a risk situation with two parameters, one described by a fuzzy number, the other described by a fuzzy variable. The first contribution of the paper is the characterization of risk aversion and prudence in mixed models by conditions on the concavity and the convexity of the agent's utility function and its partial derivatives. The second contribution is the building of mixed models of optimal saving and their connection with...