Maximizing gerrymandering through ising model optimization

Author:

Okamoto Yasuharu

Abstract

AbstractBy using the Ising model formulation for combinatorial optimization with 0–1 binary variables, we investigated the extent to which partisan gerrymandering is possible from a random but even distribution of supporters. Assuming that an electoral district consists of square subareas and that each subarea shares at least one edge with other subareas in the district, it was possible to find the most tilted assignment of seats in most cases. However, in cases where supporters' distribution included many enclaves, the maximum tilted assignment was usually found to fail. We also discussed the proposed algorithm is applicable to other fields such as the redistribution of delivery destinations.

Funder

New Energy and Industrial Technology Development Organization

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference30 articles.

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