Jens Leth Hougaard, Juan D. Moreno-Ternero and Lars Peter Østerdal ()
Additional contact information
Jens Leth Hougaard: University of Copenhagen
Juan D. Moreno-Ternero: Universidad Pablo de Olavide, and CORE, Univeristé catholique de Louvain
Lars Peter Østerdal: Department of Business and Economics, Postal: University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark
Abstract: We consider the problem of assigning agents to a facility, represented by slots on a line, where only one agent can be served at a time. There is a finite number of agents, and each one wants to be served as close as possible to his preferred slot. We first consider deterministic assignment of agents to slots. We characterize (Pareto) efficiency in such setting and provide an algorithm for testing if a given deterministic assignment is efficient. We also characterize utilitarianism (minimization of the total gap between preferred and assigned slots) and provide a quick algorithm for testing if a given deterministic assignment is utilitarian. We then consider probabilistic assignment of agents to slots. In such framework, we characterize, making use of the previous algorithms, a method which is ordinally efficient and utilitarian.
Keywords: Random assignment; ordinal efficiency; ex post efficiency; congested facility; utilitarianism
35 pages, July 1, 2012
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