Vote Delegation with Uncertain Number of Voters
We examine vote delegation when delegators do not know the preferences of representatives. We show that free delegation favors minorities, that is, alternatives that have a lower chance of winning ex-ante. The same–but to a lesser degree–occurs if the number of voting rights actual voters can have is capped. However, when the number of delegators increases, the probability that the ex-ante minority wins under free and capped delegation converges to the one under conventional voting–albeit non-monotonically. Finally, when the total number of voters is converging to infinity with a fixed fraction of the majority, all three probabilities converge to one, no matter the number of delegators. Therefore, vote delegation is safe on a large scale.
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