A modification of the proportional solution for bargaining problems with claims is proposed. This solution is constructed by considering an endogenous reference point. Characterization results of the aforementioned solution are provided. <!--ID="" Acknowledgements. Thanks are due to Carmen Marco, Gert-Jan Otten, Antonio Villar, Oskar Volij and two anonymous referees for helpful suggestions. Financial support from the DGICYT, under project PB92-0342, is gratefully acknowledged.-->

A Lagrangian characterization of the solutions of the consumer problem is provided when preferences are not representable by a continuous utility function. Copyright Springer-Verlag Berlin Heidelberg 2000

We face the problem of allocationg a fixed amount of a perfectly divisible good among a group of agents with single-peaked preferences. We survey the three different cases studied in the literature: the pure distribution case, the redistribution case, and the gerneral case. The so called general...

We consider allocation problems with indivisible goods when agents' preferences are single-peaked. We propose natural rules (called up methods) to solve such a class of problems. We analyzed the properties those methods satisfy and we provide a characterization of them. We also prove that these...

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This paper refers to the ranking of densities that describe the distribution of an attribute in a given set of populations. The key elements of the problem are: (i) The distributions refer to ordered categorical data (e.g. health statuses, educational achievements, prestige positions,...

This paper analyzes the evaluation of the relative performance of a set of groups when their outcomes are defined in terms of categorical data and the groups’ members are heterogeneous. This type of problem has been dealt with in Herrero and Villar (2013) for the case of a homogeneous...

This paper refers to the ranking of densities that describe the distribution of an attribute in a given set of populations. The key elements of the problem are: (i) The distributions refer to ordered categorical data (e.g. health statuses, educational achievements, prestige positions,...