Normalized Range Voting Broadly Resists Control

We study the behavior of Range Voting and Normalized Range Voting with respect to electoral control. Electoral control encompasses attempts from an election chair to alter the participation or structure of an election in order to change the outcome. We show that a voting system resists a case of control by proving that performing that case of control is computationally hard. Range Voting is a natural extension of approval voting, and Normalized Range Voting is a simple variant which alters each vote to maximize the potential impact of each voter. We show that Normalized Range Voting has among the largest known number of control resistances among natural voting systems.