Electoral Design: One Man, One Vote Bid

We compare two mechanisms to implement a simple binary choice, e.g. adopt one of two proposals. We show that when neither alternative is ex ante preferred, simple majority voting cannot implement the first best outcome. The fraction of the surplus lost rises with the number of voters and the total surplus loss diverges in the limit when the number of voters grows large. We introduce a simple bidding mechanism where votes can be bought at a quadratic cost and voters receive rebates equal to the average of others’ payments. This mechanism is budget-balanced, individually rational, and fully efficient in the limit. Moreover, the mechanism redistributes from those that gain from the outcome to those that lose and everyone is better off under bidding compared to voting. We test the two mechanisms in the lab using an environment with “moderate” and “extremist” voters. In the first part of the experiment, subjects gain experience with both bidding and voting. Then they collectively decide which mechanism applies in the second part. This endogenous choice of institutions provides clear evidence in favor of bidding: with groups of size eleven, 90% of the groups opt for the bidding mechanism. The observed efficiency losses under voting are close to theoretical predictions and significantly larger than under bidding. Because of redistribution, the efficiency gain from bidding benefits mostly the moderate voters. Observed behavior under the bidding mechanism deviates from theoretical predictions to some extent, which can be explained by a quantal response equilibrium model if we assume that voters overestimate the chance of being pivotal.