Talk:Monroe's method

Chamberlin-Courant

I was under the impression that Chamberlin-Courant was a proportional Borda voting rule? —Closed Limelike Curves (talk) 02:33, 3 May 2024 (UTC)

Chamberlin-Courant is a Borda rule in the sense that Monroe's is. Monroe's original paper uses the Borda weights as the utility function, just like the original Chamberlin-Courant paper does. But both can be generalized to other weights, including a cardinal version where the voters directly rate the candidates.

The original CC paper is a bit difficult to read, but see Skowron 2016 ("Finding a collective set of items: From proportional multirepresentation to group recommendation") section 3, p. 195 for a description of CC that shows its relation to Monroe. Giving representatives weighted votes to produce proportionality is not strictly part of the CC rule but was suggested by C&C as a way of giving proportionality: see Skowron and Falizewski 2017 ("Chamberlin–Courant Rule with Approval Ballots: Approximating the Max Cover Problem with Bounded Frequencies in FPT Time") p. 688. The latter paper also mentions Monroe and the relation between the two. Kristomun (talk) 21:35, 4 May 2024 (UTC)