The average voting rule is a rule for group decision-making when the decision is a distribution (e.g. the allocation of a budget among different issues), and each of the voters reports his ideal distribution.
It is a simple aggregation rule, that returns the arithmetic mean of all individual ideal distributions.
The average rule was first studied formally by Michael Intrilligator.
[3] Rosar[2] compares the average voting rule to the median voting rule, when the voters have diverse private information and interdependent preferences.
For general distributions, the results still hold when there are many agents.