Hello all! This is my first time making a post, so I hope I am putting this question in the right place.

My understanding is that QV works its magic when collecting preferences about a series of binary decisions. But what if instead of binary decisions we need to make decisions such as “how much funding should x get?”

More precisely, suppose we had a collection of goods g_1, \dots , g_n and a budget T. We want to find a funding function f such that T \leq f(g_1) + \dots + f(g_n). What voting methods are both practical to implement and will help us choose f so that our decision is in good alignment with people’s preferences?

Forgive me for being a little bit loose in the above paragraph. I have just started learning mechanism design and I am sure there are way better ways to state the question.