Allocation rules on networks

When allocating a resource, geographical and infrastructural constraints have to be taken into account. We study the problem of distributing a resource through a network from sources endowed with the resource to citizens with claims. A link between a source and an agent depicts the possibility of a transfer from the source to the agent. Given the supplies at each source, the claims of citizens, and the network, the question is how to allocate the available resources among the citizens. We consider a simple allocation problem that is free of network constraints, where the total amount can be freely distributed. The simple allocation problem is a claims problem where the total amount of claims is greater than what is available. We focus on consistent and resource monotonic rules in claims problems that satisfy equal treatment of equals. We call these rules fairness principles and we extend fairness principles to allocation rules on networks. We require that for each pair of citizens in the network, the extension is robust with respect to the fairness principle. We call this condition pairwise robustness with respect to the fairness principle. We provide an algorithm and show that each fairness principle has a unique extension which is pairwise robust with respect to the fairness principle. We give applications of the algorithm for three fairness principles: egalitarianism, proportionality and equal sacrifice.

Asymmetrically fair rules for an indivisible good problem with a budget constraint

We study a particular restitution problem where there is an indivisible good (land or property) over which two agents have rights: the dispossessed agent and the owner. A third party, possibly the government, seeks to resolve the situation by assigning rights to one and compensate the other. There is also a maximum amount of money available for the compensation. We characterize a family of asymmetrically fair rules that are immune to strategic behavior, guarantee minimal welfare levels for the agents, and satisfy the budget constraint.

Following rules.

La publicación forma parte de una colección que tiene como objetivo dar a los menores conocimientos y habilidades para ser buenos ciudadanos. En este trabajo los niños ven las diversas situaciones que demuestran la importancia de respetar las normas; trata principios como compartir, tomar turnos y seguir las reglas. Antes de la lectura hablarles acerca de las reglas. Después de la lectura se recomienda dialogar con ellos acerca de las normas que hacen la vida más cómoda para el profesor y la clase. El texto, sencillo, ayuda a los lectores a tomar decisiones y entender cómo sus acciones afectan a otras personas. Las ilustraciones se utilizan para reforzar la comprensión de este concepto.

Panel didáctico (display).

El artículo forma parte de una sección de la revista dedicada al intercambio de experiencias