Bonferroni and De Vergottini are back: New subgroup decompositions and bipolarization measures

This paper proposes new bipolarization indices based on the Bonferroni and De Vergottini of inequality. These follow approach Foster Wolfson are a subgroup decomposition We also provide conditions under which polarization satisfy Increased Spread Bipolarity axioms. Finally, simulation study is performed to compare different sensitivity progressive transfers. An empirical application EU-SILC data for Italy in period 2007-2011 shows appeal our proposal.