This paper examines several families of population principles in the light of a set of axioms. In addition to the critical level utilitarian, number-sensitive critical-level utilitarian and number-dampened families and their generalized counterparts, we consider the restricted number-dampened...

We consider a probabilistic approach to the problem of assigning K indivisible identical objects to a set of agents with single-peaked preferences. Using the ordinal extension of preferences, we characterize the class of uniform probabilistic rules by Pareto efficiency, strategy-proofness, and...

We consider general allocation problems with indivisibilities where agents' preferences possibly exhibit externalities. In such contexts many different core notions were proposed. One is the -core whereby blocking is only allowed via allocations where the non-blocking agents receive their...

We study a general class of priority-based allocation problems with weak priority orders and identify conditions under which there exists a strategy-proof mechanism which always chooses an agent-optimal stable, or constrained efficient, matching. A priority structure for which these two...

Controlled choice over public schools attempts giving options to parents while maintaining diversity, often enforced by setting feasibility constraints with hard upper and lower bounds for each student type. We demonstrate that there might not exist assignments that satisfy standard fairness and...

Moulin (1999) characterizes the fixed-path rationing methods by efficiency, strategy-proofness, consistency, and resource-monotonicity. In this note, we give a straightforward proof of his result.

We study the problem of locating two public Godds for a group of agents with single-peaked preferences over an interval.

Controlled choice over public schools is a common policy of school boards in the United States. It attempts giving choice to parents while maintaining racial and ethnic balance at schools. This paper provides a foundation for controlled school choice programs. We develop a natural notion of...

We provide an axiomatization of Yitzhaki’s index of individual deprivation. Our result differs from an earlier characterization due to Ebert and Moyes in the way the reference group of an individual is represented in the model. Ebert and Moyes require the index to be defined for all logically...