The general objective of this paper is to analyze the configuration of poverty in Chad using a mu... more The general objective of this paper is to analyze the configuration of poverty in Chad using a multidimensional approach, while previous work has for the most part favored the monetary or one-dimensional approach. The multidimensional approach adopted is based on the fuzzy-set also called the fuzzy set theory. To achieve this objective, multidimensional poverty indices are calculated by the formulations of membership functions called "totally fuzzy approach (TF)" by Cerioli and Zani. They are broken down according to the Camilo Dagum’s method. The data are the Household Budget and Consumption Surveys in 2003 (ECOSIT2) of 7,008 households and in 2011 (ECOSIT3) of 10,200 households. The results show that the multidimensional poverty index (fuzzy poverty index) is 48.47% in 2003 and increases unlike in 2011 to 58.89% while monetary poverty is 55% in 2003 and 46. 67% in 2011. In Chad, in all areas, poverty persists. The energy dimension is the one where we find more poor peopl...
The paper studies the ordinal equivalence of Linear, Efficient and Symmetry (LES) values in TU-ga... more The paper studies the ordinal equivalence of Linear, Efficient and Symmetry (LES) values in TU-games. It demonstrates that most of the results obtained by Carreras F, Freixas J (2008) in the case of semivalues and simple games are transposable on LES values and the whole TU-games set. In particular, linear and weakly linear games are analyzed. We characterize both values which are ordinal equivalent in all TU-games. Pigou-Dalton transfers are introduced for social comparison of values and to shed light on the way payoffs are redistributed from a value to another.
The general objective of this paper is to analyze the configuration of poverty in Chad using a mu... more The general objective of this paper is to analyze the configuration of poverty in Chad using a multidimensional approach, while previous work has for the most part favored the monetary or one-dimensional approach. The multidimensional approach adopted is based on the fuzzy-set also called the fuzzy set theory. To achieve this objective, multidimensional poverty indices are calculated by the formulations of membership functions called "totally fuzzy approach (TF)" by Cerioli and Zani. They are broken down according to the Camilo Dagum’s method. The data are the Household Budget and Consumption Surveys in 2003 (ECOSIT2) of 7,008 households and in 2011 (ECOSIT3) of 10,200 households. The results show that the multidimensional poverty index (fuzzy poverty index) is 48.47% in 2003 and increases unlike in 2011 to 58.89% while monetary poverty is 55% in 2003 and 46. 67% in 2011. In Chad, in all areas, poverty persists. The energy dimension is the one where we find more poor peopl...
The paper studies the ordinal equivalence of Linear, Efficient and Symmetry (LES) values in TU-ga... more The paper studies the ordinal equivalence of Linear, Efficient and Symmetry (LES) values in TU-games. It demonstrates that most of the results obtained by Carreras F, Freixas J (2008) in the case of semivalues and simple games are transposable on LES values and the whole TU-games set. In particular, linear and weakly linear games are analyzed. We characterize both values which are ordinal equivalent in all TU-games. Pigou-Dalton transfers are introduced for social comparison of values and to shed light on the way payoffs are redistributed from a value to another.
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