A note on the separability principle in economies with single-peaked

We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the analysis of the problem is the so-called uniform rule. Chun (2001) proves that the uniform rule is the only rule satisfying Pareto optimality, no-envy, separability, and continuity (with respect to the social endowment). We obtain an alternative characterization by using a weak replication-invariance condition, called duplication-invariance, instead of continuity. Furthermore, we prove that Pareto optimality, equal division lower bound, and separability imply no-envy. Using this result, we strengthen one of Chun's (2001) characterizations of the uniform rule by showing that the uniform rule is the only rule satisfying Pareto optimality, equal división lower bound, separability, and either continuity or duplication-invariance.

Els Senadors republicans catalans durant la monarquía d’Alfons XIII (1903-1923)

Si bé durant el primer quart del segle XX la presència de republicans en el Senat fou sempre escassa, l'autor ha comptabilitzat, entre 1903 i 1923, 31 actes de republicans en el conjunt d'Espanya, 16 de les quals corresponen a senadors catalans. Durant aquest perí­ode, Catalunya fou el baluard més potent del republicanisme a Espanya.

Pareto-improving optimal capital and labor taxes

We show a standard model where the optimal tax reform is to cut labor taxes and leave capital taxes very high in the short and medium run. Only in the very long run would capital taxes be zero. Our model is a version of Chamley??s, with heterogeneous agents, without lump sum transfers, an upper bound on capital taxes, and a focus on Pareto improving plans. For our calibration labor taxes should be low for the first ten to twenty years, while capital taxes should be at their maximum. This policy ensures that all agents benefit from the tax reform and that capital grows quickly after when the reform begins. Therefore, the long run optimal tax mix is the opposite from the short and medium run tax mix. The initial labor tax cut is financed by deficits that lead to a positive long run level of government debt, reversing the standard prediction that government accumulates savings in models with optimal capital taxes. If labor supply is somewhat elastic benefits from tax reform are high and they can be shifted entirely to capitalists or workers by varying the length of the transition. With inelastic labor supply there is an increasing part of the equilibrium frontier, this means that the scope for benefitting the workers is limited and the total benefits from reforming taxes are much lower.

La Inversión francesa en la canalización del Ebro: de la navegación al riego (1848-1904)

La Real Compañía de Canalización del Ebro, sociedad anónima constituida en 1852 con un capital nominal de 31,5 millones de pesetas, que tenía como objetivo fundamental abrir el Ebro a la navegación a vapor en base a un proyecto técnico elaborado por ingenieros franceses, tuvo que recurrir a inversores europeos para levantar su capital. Se trataría, pues, de una empresa equiparable en muchos aspectos –inversión en comunicaciones, elevado capital, dependencia de técnicos e inversores europeos– a las grandes compañías ferroviarias constituidas en España a mediados del siglo XIX. El fracaso en la navegación reorientó su actividad hacia el riego, siendo la empresa encargada de construir y explotar hasta 1966 estas infraestructuras en el Delta del Ebro. En este texto, después de referirnos a los diferentes intentos de canalización del Ebro relacionados con la navegación hasta mediados de siglo XIX, analizaremos los motivos de su evolución y la diferente actitud mantenida ante las oportunidades de negocio por los dos grandes sectores de accionistas, el capital catalán y el capital francés, hasta la salida de este último ocurrida entre 1878 y 1904. Asimismo, intentaremos mostrar como el ritmo de la inversión en la canalización se ajusta al de la inversión francesa en España, que iniciada en el siglo XVIII, se paraliza con la crisis del Antiguo Régimen, se intensifica a partir de la década de 1840 orientándose mayoritariamente hacia los sectores ferroviario y minero, e inicia un cierto repliegue a partir de la última década del siglo XIX.

Els senadors carlins de Catalunya (1901-1923)

Nova aportació de l’autor sobre la presència catalana en el Senat, centrada en aquesta ocasió en els senadors carlins de Catalunya que obtingueren representació en la Cambra Alta durant el període 1901-1923. Aquesta publicació complementa, doncs, Els senadors republicans catalans durant la monarquia d’Alfons XIII (WP 249/06) i Els senadors conservadors (WP 260/07).

Traducció i edició a Catalunya durant la primera dictadura del s.XX (1923-1930)

Quan Miguel Primo de Rivera va pujar al poder l’any 1923, una de les primeres accions que va portar a terme fou la imposició de la censura en la premsa, tant pel que fa a les publicacions periòdiques com als llibres. A la pràctica, però, l’impacte d’aquesta censura en l’edició de llibres va ser força reduït: de fet, durant els anys que va durar el directori el món editorial va viure un creixement considerable, tant pel que fa als volums editats (originals i traduïts) com al nombre de segells editorials. Amb aquest treball em proposo construir una base de dades que inclogui totes les traduccions publicades a Catalunya de 1923 a 1930 a partir de la qual em sigui possible valorar diversos aspectes relacionats amb l’activitat traductora durant la dictadura de Primo de Rivera (per exemple, les matèries i llengües més traduïdes, el perfil dels traductors més actius o les editorials i col•leccions més actives en la traducció).

Time consistent Pareto solutions in common access resource gameswith asymmetric players

In the analysis of equilibrium policies in a di erential game, if agents have different time preference rates, the cooperative (Pareto optimum) solution obtained by applying the Pontryagin's Maximum Principle becomes time inconsistent. In this work we derive a set of dynamic programming equations (in discrete and continuous time) whose solutions are time consistent equilibrium rules for N-player cooperative di erential games in which agents di er in their instantaneous utility functions and also in their discount rates of time preference. The results are applied to the study of a cake-eating problem describing the management of a common property exhaustible natural resource. The extension of the results to a simple common property renewable natural resource model in in nite horizon is also discussed.

Time consistent Pareto solutions in common access resource gameswith asymmetric players

In the analysis of equilibrium policies in a di erential game, if agents have different time preference rates, the cooperative (Pareto optimum) solution obtained by applying the Pontryagin's Maximum Principle becomes time inconsistent. In this work we derive a set of dynamic programming equations (in discrete and continuous time) whose solutions are time consistent equilibrium rules for N-player cooperative di erential games in which agents di er in their instantaneous utility functions and also in their discount rates of time preference. The results are applied to the study of a cake-eating problem describing the management of a common property exhaustible natural resource. The extension of the results to a simple common property renewable natural resource model in in nite horizon is also discussed.

El mapa topográfico del Protectorado de Marruecos en su contexto político e institucional (1923-1940)

Durante los años veinte, tras una profunda reorganización de los servicios cartográficos del Estado, la dictadura de Primo de Rivera encargó al Depósito de la Guerra la formación de un mapa topográfico del Protectorado español de Marruecos a escala 1:50. 000. El levantamiento de la carta marroquí se realizó simultáneamente a otras operaciones cartográficas en las islas Canarias, el norte de África y la Península. Este artículo estudia la formación del mapa de Marruecos, prestando especial atención a su contexto geopolítico e institucional. La carta marroquí abrió una nueva etapa en la militarización de la cartografía topográfica española. La consulta de fuentes archivísticas ha permitido reconstruir la trayectoria profesional de sus artífices.

Entre Fanny i Aloma : Personatges femenins en l'època de la represa de la novel·la (1923-1939)

Anàlisi dels personatges femenins construïts en sis novel·les representatives de l'època de la represa de la novel·la a Catalunya (1923-1939), tot remarcant si hi podem reconèixer trets socials o històrics de l'època, si hi observem trets feministes, i també observant com els tractaven o enfocaven els seus autors.

Wave-height hazard analysis in Eastern Coast of Spain : Bayesian approach using generalized Pareto distribution

Standard practice of wave-height hazard analysis often pays little attention to the uncertainty of assessed return periods and occurrence probabilities. This fact favors the opinion that, when large events happen, the hazard assessment should change accordingly. However, uncertainty of the hazard estimates is normally able to hide the effect of those large events. This is illustrated using data from the Mediterranean coast of Spain, where the last years have been extremely disastrous. Thus, it is possible to compare the hazard assessment based on data previous to those years with the analysis including them. With our approach, no significant change is detected when the statistical uncertainty is taken into account. The hazard analysis is carried out with a standard model. Time-occurrence of events is assumed Poisson distributed. The wave-height of each event is modelled as a random variable which upper tail follows a Generalized Pareto Distribution (GPD). Moreover, wave-heights are assumed independent from event to event and also independent of their occurrence in time. A threshold for excesses is assessed empirically. The other three parameters (Poisson rate, shape and scale parameters of GPD) are jointly estimated using Bayes' theorem. Prior distribution accounts for physical features of ocean waves in the Mediterranean sea and experience with these phenomena. Posterior distribution of the parameters allows to obtain posterior distributions of other derived parameters like occurrence probabilities and return periods. Predictives are also available. Computations are carried out using the program BGPE v2.0

Identifying the preferred subset of enzymatic profiles in nonlinear kinetic metabolic models via multiobjective global optimization and pareto filters

Optimization models in metabolic engineering and systems biology focus typically on optimizing a unique criterion, usually the synthesis rate of a metabolite of interest or the rate of growth. Connectivity and non-linear regulatory effects, however, make it necessary to consider multiple objectives in order to identify useful strategies that balance out different metabolic issues. This is a fundamental aspect, as optimization of maximum yield in a given condition may involve unrealistic values in other key processes. Due to the difficulties associated with detailed non-linear models, analysis using stoichiometric descriptions and linear optimization methods have become rather popular in systems biology. However, despite being useful, these approaches fail in capturing the intrinsic nonlinear nature of the underlying metabolic systems and the regulatory signals involved. Targeting more complex biological systems requires the application of global optimization methods to non-linear representations. In this work we address the multi-objective global optimization of metabolic networks that are described by a special class of models based on the power-law formalism: the generalized mass action (GMA) representation. Our goal is to develop global optimization methods capable of efficiently dealing with several biological criteria simultaneously. In order to overcome the numerical difficulties of dealing with multiple criteria in the optimization, we propose a heuristic approach based on the epsilon constraint method that reduces the computational burden of generating a set of Pareto optimal alternatives, each achieving a unique combination of objectives values. To facilitate the post-optimal analysis of these solutions and narrow down their number prior to being tested in the laboratory, we explore the use of Pareto filters that identify the preferred subset of enzymatic profiles. We demonstrate the usefulness of our approach by means of a case study that optimizes the ethanol production in the fermentation of Saccharomyces cerevisiae.