"We analyze a model in which voters are uncertain about the policy preferences of candidates. Two forces affect the probability of electoral success: proximity to the median voter and campaign contributions. First, we show how campaign contributions affect elections. Then we show how the...

Standard intuitions for optimal gerrymandering involve concentrating one's extreme opponents in "unwinnable" districts ("packing") and spreading one's supporters evenly over "winnable" districts ("cracking"). These intuitions come from models with either no uncertainty about voter preferences or...