In economics the main efficiency criterion is that of Pareto-optimality. For problems of distributing a social endowment a central notion of fairness is no-envy (each agent should receive a bundle at least as good, according to her own preferences, as any of the other agent's bundle). For most...

For the problem of adjudicating conflicting claims, we study lower bounds on the awards of each agent. We propose extending a lower bound by performing the following operation: (i) for each problem, assign the lower bound and revise the problem accordingly; (ii) assign the bound of the revised...

This paper studies the problem of fairly allocating an amount of a divisible resource when preferences are single-peaked. We characterize the class of envy-free and peak-only rules and show that the class forms a complete lattice with respect to a dominance relation. We also pin down the...

Multidimensional welfare analysis has recently been revived by money-metric measures based on explicit fairness principles and the respect of individual preferences. To operationalize this approach, preference heterogeneity can be inferred from the observation of individual choices (revealed...

Multidimensional welfare analysis has recently been revived by money-metric measures based on explicit fairness principles and the respect of individual preferences. To operationalize this approach, preference heterogeneity can be inferred from the observation of individual choices (revealed...

In a recent article, Fragnelli and Gagliardo [Cooperative models for allocating an object, Economics Letters 117 (2012) 227-229] propose several procedures to solve a basic problem of fair allocation. We scrutinize their proposal and contextualize it into recent developments of the literature on...

The problem of allocating bundles of indivisible objects without transfers arises in the assignment of courses to students, of computing resources like CPU time, memory and disk space to computing tasks and the truck loads of food to food banks. In these settings the complementarities in...

The property of "monotonicity" is necessary, and in many contexts, sufficient, for a solution to be Nash implementable (Maskin 1977). In this paper, we follow Sen (1995) and evaluate the extent to which a solution may fail monotonicity by identifying the minimal way in which it has to be...

In most economies, a fair allocation does not exist. Thus, it seems that we are condemned to live in an unfair world, since we are not happy with what we have and we look at the others with envious eyes. In this paper we want to give an hope for a more equitable society.

In a recent article, Fragnelli and Gagliardo [Fragnelli, V., Gagliardo, S., (2012). Cooperative models for allocating an object. Economics Letters 117, 227–229] propose several procedures to solve a basic problem of fair allocation. We scrutinize their proposal and contextualize it into recent...