Abstract

We build a multiple hierarchical model of a representative democracy in which citizens elect ward representatives, ward representatives elect county representatives, county representatives elect state representatives, and state representatives elect a prime minister. We use our model to show that the policy determined by the final representative can become more extreme as the number of hierarchical levels increases as a result of increased opportunities for gerrymandering. Thus, a sufficiently large number of voters provide a district maker an advantage, enabling her to implement her favorite policy.