A fair solution to the compensation problem

We study equity in economies where agents are endowed with different, non-transferable, personal talents. To compensate them for such differences a given amount of money needs to be shared among them. We axiomatize a family of social orderings over allocations based on efficiency, fairness and robustness properties. Taking into account incentive constraints we derive the optimal policy : individuals with the same talent need to be equally compensated and only people whose level of talent is below a certain threshold should receive a positive compensation.Compensation, talents, fairness, axioms, social orderings, incentive-compatibility

Axiomatic resource allocation for heterogeneous agents

We analyze a model of resource allocation in which agents' abilities (to transform the resource into an interpersonally comparable outcome) and initial endowments may differ. We impose ethical and operational axioms in this model and characterize some allocation rules as a result of combining these axioms. Two focal (and polar) egalitarian rules are singled out. On the one hand, the rule that allocates the resource equally across agents. On the other hand, the rule tha allocates the resource so that the distribution of final outcomes is exicographically maximized.resource allocation, egalitarianism, priority, solidarity, composition.

Forced saving, redistribution and nonlinear social security schemes

This paper studies the design of a nonlinear social security scheme in a society where individuals differ in two respects: productivity and degree of myopia. Myopic individuals may not save "enough" for their retirement because their "myopic self" emerges when labor supply and savings decisions are made. The social welfare function is paternalistic: the rate of time preference of the far-sighted (which corresponds to the "true" preferences of the myopics) is used for both types. We show that the paternalistic solution does not necessarily imply forced savings for the myopics. This is because paternalistic considerations are mitigated or even outweighed by incentive effects. Our numerical results suggest that as the number of myopic individuals increases, there is less redistribution and more forced saving. Furthermore, as the number of myopic increases, the desirability of social security (measured by the difference between social welfare with and without social security) increases.social security, myopia, dual-self model

Approximating multiple class queueing models with loss models

Multiple class queueing models arise in situations where some flexibility is sought through pooling of demands for different services. Earlier research has shown that most of the benefits of flexibility can be obtained with only a small proportion of cross-trained operators. Predicting the performance of a system with different types of demands and operator pools with different skills is very difficult. We present an approximation method that is based on equivalent loss systems. We successively develop approximations for the waiting probability, The average waiting time and the service level. Our approximations are validated using a series of simulations. Along the way we present some interesting insights into some similarities between queueing systems and equivalent loss systems that have to our knowledge never been reported in the literature.

Interdependent preferences in the design of equal-opportunity policies

We study mechanisms to construct equal-opportunity policies for resource allocation. In our model agents enjoy welfare as a function of the effort they expend, and the amount of a socially provided resource they consume. Nevertheless, agents have interdependent allocations. As in the standard approach to equality of opportunity, the aim is to allocate the social resource so that welfare across individuals at the same relative effort level is as equal as possible. We show how pursuing this same aim while assuming that agents have interdependent preferences might crucially alter the results.equality of opportunity, interdependent preferences, social policies, compensation, responsibility.

Data games. Sharing public goods with exclusion

A group of agents considers collaborating on a project which requires putting together elements owned by some of them. These elements are pure public goods with exclusion i.e. nonrival but excludable goods like for instance knowledge, data or information, patents or copyrights. The present paper addresses the question of how should agents be compensated for the goods they own. It is shown that this problem can be framed as a cost sharing game - called ‘data game’ - to which standard cost sharing rules like the Shapley value or the nucleolus can then be applied and compared.Cost sharing, compensation, Shapley value

Mixed duopoly, privatization and the shadow costs of public funds

The purpose of this article is to investigate how the introduction of the shadow cost of public funds in the utilitarian measure of the economywide welfare affects the behavior of a welfare maximizer public firm in a mixed duopoly. We prove that when firms play simultaneously, the mixed-Nash equilibrium can dominate any Cournot equilibria implemented after a privatization, with or without efficiency gains. This can be true both in terms of welfare and of public firm's profit. When we consider endogenous timing, we show that either mixed- Nash, private leadership or both Stackelberg equilibria can result as subgameperfect Nash equilibria (SPNE). As a consequence, the sustainability of sequential equilibria enlarges the subspace of parameters such that the market performance with an inefficient public firm is better than the one implemented after a full-efficient privatization. Absent efficiency gains, privatization always lowers welfare

Prodigality and myopia. Two rationales for social security.

Among the rationales for social security, there is the fact that some people have to be forced to save. To explain undersaving, rational prodigality and hyperbolic preferences are often cited but treated separably. In this paper we study those two particular behaviors that lead to forced saving within an optimal income tax second-best setting.social security, myopia, dual-self model, prodigality.

Von Neumann-Morgenstern farsightedly stable sets in two-sided matching.

We adopt the notion of von Neumann-Morgenstern farsightedly stable sets to predict which matchings are possibly stable when agents are farsighted in one-to-one matching problems. We provide the characterization of von Neumann-Morgenstern farsightedly stable sets: a set of matchings is a von Neumann-Morgenstern farsightedly stable set if and only if it is a singleton set and its element is a corewise stable matching. Thus, contrary to the von Neumann-Morgenstern (myopically) stable sets, von Neumann-Morgenstern farsightedly stable sets cannot include matchings that are not corewise stable ones. Moreover, we show that our main result is robust to many-to-one matching problems with responsive preferences.matching problem, von Neumann-Morgenstern stable sets, farsighted stability

Von Neuman-Morgenstern farsightedly stable sets in two-sided matching

We adopt the notion of von Neumann-Morgenstern farsightedly stable sets to predict with matchings are possibly stable when agents are farsighted in one-to-one matching problems. We provide the characterization of von Neumann-Morgenstern farsightedly stable sets : a set of matchings is a von Neumann-Morgenstern farsightedly stable set if and only if it is a singleton set and its element is a corewise stable matching. Thus, contrary to the von Neumann-Morgenstern (myopically) stable sets, von Neumann-Morgenstern farsightedly stable sets cannot include matchings thar are not corewise stable ones. Moreover, we show that our main result is robust to many-to-one matching problems with responsive preferences.matching problem, von Neumann-Morgenstern stable sets, farsightedly stability