On Multi-Level Apportionment

Ulrike Schmidt-Kraepelin, Warut Suksompong and Steven Wijaya

Papers from arXiv.org

Abstract: Apportionment refers to the well-studied problem of allocating legislative seats among parties or groups with different entitlements. We present a multi-level generalization of apportionment where the groups form a hierarchical structure, which gives rise to stronger versions of the upper and lower quota notions. We show that running Adams' method level-by-level satisfies upper quota, while running Jefferson's method or the quota method level-by-level guarantees lower quota. Moreover, we prove that both quota notions can always be fulfilled simultaneously.

Date: 2025-11
New Economics Papers: this item is included in nep-mic
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