Inequality decomposition values : the trade-off between marginality and consistency
A general procedure inspired by the Shapley value is proposed for decompodsing any inequality index by factor components or by populations subgroups. To do so we define two types of inequality games. Although these games cannot be expressed in terms of unanimity games, an axiomatization of the Shapley decomposition is provided in this context by using the Potential function pioneered by HArt and Mas-Colell (89).
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