group of people as fairly and as efficiently as possible. A particular constraint for such an allocation is that every … allocation. It is shown that every perfectly fair allocation is efficient and envy-free, income-fair and furthermore gives every … allocation. It is shown that there exists a perfectly fair allocation if and only if an associated linear program problem has a …

solution concept to this problem called a perfectly fair allocation. It is a refinement of the concept of fair allocation. An … appealing and interesting property of this concept is that every perfectly fair allocation is Pareto optimal. It is also shown … that a perfectly fair allocation is envy free and gives each agent what he likes best, and that a fair allocation need not …