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...

We consider the problem of allocating a social endowment of private goods among a group of n agents with linear preferences. We search for rules that satisfy three standard requirements. First is (Pareto-)efficiency. Second is the fairness requirement of “equal treatment of equals” (in...

This paper explains how to represent economies with one private good, one public good, and two agents when the public good is produced from the private good by operating a linear technology, by means of the so-called "Kolm triangle." It also shows the usefulness of this representation in...

I formulate recommendations to young authors for writing economic theory well. I state general principles of good writing, and emphasize the role of the different components of a paper and the importance of the structure of one's work being clear. I explain how to choose notation and language,...

We consider the problem of allocating some amount of an infinitely divisible and homogeneous resource among agents having claims on this resource that cannot be jointly honored. A "rule" associates with each such problem a feasible division. Our goal is to uncover the structure of the space of...