PJR+ is the canonical minimal proportionality notion: any rule satisfying monotonicity, independence of losers, robustness to fully satisfied voters, and lower quota refines PJR+.
An axiomatization of the core of cooperative games without side payments , volume =
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An Axiomatic Analysis of Proportionality Notions in Approval-Based Multiwinner Voting
PJR+ is the canonical minimal proportionality notion: any rule satisfying monotonicity, independence of losers, robustness to fully satisfied voters, and lower quota refines PJR+.