We review the theory of fairness as it pertains to concretely specified problems of resource allocations. We present punctual notions designed to evaluate how well individuals, or groups, are treated in relation to one another: no-envy, egalitarian-equivalence, individual and collective lower or...

I consider the problem of assigning agents to indivisible objects, in which each agent pays a price for his object and all prices sum to a given constant. The objective is to select an assignment-price pair that is envy-free with respect to the agents' true preferences. I propose a simple...

We consider allocation problemswith indivisible goods when preferences are single-peaked. In this paper we identify the family of efficient, non-manipulable, consistent, and balanced solutions. We refer those solutions as Temporary Satisfaction Methods, that can be viewed as extensions to the...