Search results for " and Their Distributions"

The paradox of endogenous poverty line in the poverty indices

2007

february 23-25, 2007; When measuring poverty, the poverty line is considered to be relatively determined as a percentage of the median income or as a percentage of the average income so as to allow international comparisons. The poverty line relative to the median income may be described as endogenous in contrast with the poverty line relative to the average income which may be described as exogenous because it is independent of the normalized distribution of incomes. As the existing literature is focused on the properties of the indices but not on the respective interest of the endogenous and exogenous poverty lines, this paper compares the two definitions of the relative poverty. The Rela…

Le paradoxe du seuil de pauvreté endogène dans les indices de pauvreté

2007

The three wives problem and Shapley value

2015

We examine the Talmudic three wives problem, which is a generalization of the Talmudic contested garment problem solved by Aumann and Maschler (1985) using coalitional procedure. This problem has many practical applications. In an attempt to unify all Talmudic methods, Guiasu (2010, 2011) asserts that it can be explained in terms of “run-to-the-bank”, that is, of Shapley value in a “cumulative game”. It can be challenged because the coalitional procedure yields the same result as the nucleolus, which corresponds to a “dual game”. As Guiasu's solution is paradoxical (it has all the appearances of truth), my contribution consists in explaining the concepts, particularly truncation, that play …