This paper provides three short and very simple proofs of the classical Gibbard-Satterthwaite theorem. The theorem is first proved in the case with only two individuals in the economy. The many individual case follows then from an induction argument (over the number of individuals). The proof of...

A fair division problem with indivisible objects, e.g. jobs, and one divisible good (money) is considered. The individuals consume one object and money. The class of strategy-proof and fair allocation rules is characterized. The allocation rules in the class are like a Vickrey auction bossy and...

We examine the strategy-proof allocation of multiple divisible and indivisible resources; an application is the assignment of packages of tasks, workloads, and compensations among the members of an organization. We find that any allocation mechanism obtained by maximizing a separably concave...

We study two-sided ("marriage") and general pairing ("roommate") problems. We introduce "sequences," lists of matchings that are repeated in order. Stable sequences are natural extensions of stable matchings; case in point, we show that a sequence of stable matchings is stable. In addition,...

This paper considers a house allocation problem with no initial ownership and where prices are bounded from below and above by exogenously given price restrictions. This type of housing market contains, e.g., the "assignment market" and the "student placement problem" as special cases. A...

We consider an allocation problem with a finite number of objects, and agents that demand at most one of the objects. The study provides a characterization of a class of strategy-proof price mechanisms. A mechanism belongs to the class if and only if the price space is restricted in a special...

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...