We study the simple model of assigning indivisible and heterogenous objects (e.g., houses, jobs, offices, etc.) to agents. Each agent receives at most one object and monetary compensations are not possible. For this model, known as the house allocation model, we characterize the class of rules...

In college admissions and student placements at public schools, the admission decision can be thought of as assigning indivisible objects with capacity constraints to a set of students such that each student receives at most one object and monetary compensations are not allowed. In these...

Mankind must cooperate to reduce GHG emissions to prevent a catastrophic rise in global temperature. How can the necessary costs of reducing GHG emissions be allocated across regions of the world, within the next few generations, and simultaneously address growth expectations and economic...

Several authors in the economics literature have referred to Kantian behavior, informally, as a kind of cooperation. We model this notion precisely, and define two kinds of Kantian allocation. An set of strategies by players is Kantian if, informally, no player would advocate that all players...