Relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves

This note proposes a relative bipolarization quasi-ordering based on Between-Group Gini (BGG) curves, which is consistent with the quasi-ordering generated by relative bipolarization indices satisfying key axioms. Therefore the quasi-ordering induced by BGG curves is identical to the one induced by relative bipolarization curves (the secondorder curves in Foster and Wolfson (2010)). An appealing trait of BGG curves is their intuitive and straightforward representation of relative bipolarization situations, including minimum and maximum bipolarization, as well as any intermediate situation of perfect bimodality.