[COMSOC 23a] Markus Brill

This is the first of two talks in the session.

2020-12-03: Markus Brill and Robert Bredereck

Session Chair: Edith Elkind (Oxford)

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Markus Brill (Berlin)

The Maximin Support Method: An Extension of the D'Hondt Method to Approval-Based Multiwinner Elections

We propose the maximin support method, a novel extension of the D'Hondt apportionment method to approval-based multiwinner elections. The maximin support method is a sequential procedure that aims to maximize the support of the least supported elected candidate. It can be computed efficiently and satisfies (adjusted versions of) the main properties of the original D'Hondt method: house monotonicity, population monotonicity, and proportional representation. We also establish a close relationship between the maximin support method and alternative D'Hondt extensions due to Phragmén.

Joint work with Luis Sánchez-Fernández, Norberto Fernández García, and Jesús A. Fisteus.