Fair division among groups[1] (or families[2]) is a class of fair division problems, in which the resources are allocated among groups of agents, rather than among individual agents.
[2] Pareto efficiency is another important criterion that is required in addition to fairness.
[2] The division problem is easier when the agents can be grouped ad-hoc based on their preferences.
It can be proved that unanimous-proportionality is equivalent to consensus division in the following sense:[2] In the context of fair item allocation, the following results are known.
[12] A practical application of fair division among groups is dividing tickets to parks or other experiences with limited capacity.
When people arrive on their own, a simple uniformly-random lottery among all candidates is a fair solution.