Social choice for boardgames in phone app form

Design and implement an algorithm to determine which activities should be undertaken with a group where multiple options are available but require a different number of people each. (Think: choosing which game(s) to play on a board game night. )

Implement this (a strange form of election) in the form of an app which is to be used each participant.

You are on Aboriginal land.

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.