recent approval PR papers

[A Former User]

while I haven't posted much I still read a lot of papers. there have been some interesting preprints recently from the usual suspects of research groups

https://arxiv.org/abs/2302.01989
https://arxiv.org/abs/2302.03672
https://arxiv.org/abs/2302.11890
https://arxiv.org/abs/2302.11291

Personally I find the first of these the most interesting. It introduces a "robust" version of PJR* and EJR which holds for any group of voters N, not just cohesive or even partially-cohesive groups, and the definition naturally generalizes to ranked ballots, and provides the first axiomatic separation between STV (fail) and MES and other expanding-approvals rules (pass).

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*intuitively, robust PJR demands that a group N of size >= k quotas cannot unanimously approve of some unelected candidate if that group's voters have fewer than k representatives. Notably, the group does not have to be otherwise cohesive whatsoever. There is a related "robust" EJR.

[Toby Pereira]

Thanks for the links.