Examples of retracts in a free group that are not the fixed subgroup of any group of automorphisms

Let F be a free group of rank at least three. We show that some retracts of F previously studied by Martino-Ventura are not equal to the fixed subgroup of any group of automorphisms of F. This shows that, in F, there exist subgroups that are equal to the fixed subgroup of some set of endomorphisms but are not equal to the fixed subgroup of any set of automorphisms. Moreover, we determine the Galois monoids of these retracts, where, by the Galois monoid of a subgroup H of F, we mean the monoid consisting of all endomorphisms of F that fix H.

Ecological and Economic Impacts within the Environmental Input-Output Framework

The environmental input-output approach reveals the channels through which the environmental burdens of production activities are transmitted throughout the economy. This paper uses the input-output framework and analyses the changes in Spanish emission multipliers during the period 1995-2000. By decomposing the global changes in multipliers into different components, it is possible to evaluate separately the economic and ecological impacts captured by the environmental input-output model. Specifically, in this study we distinguish between the effects on multipliers caused by changes in emission coefficients (the ecological impacts) and the effects on multipliers caused by changes in technical coefficients (the economic impacts). Our results show a significant improvement in the ecological impacts of production activities, which contributed negatively to changes in emission multipliers. They also show a deterioration in the economic impacts, which contributed positively to changes in emission multipliers. Together, these two effects lead to a small reduction in global multipliers during the period of analysis. Our results also show significant differences in the individual behaviour of different sectors in terms of their contribution to multiplier changes. Since there are considerable differences in the way individual sectors affect the changes in emission levels, and in the intensity of these effects, this means that the final effects will basically depend on the activity considered. Keywords: emission multipliers, multipliers' changes, ecological impacts, economic impacts.

Distribution center consolidation games

We study the location-inventory model as introduced by Teo et al. (2001) to analyze the impact of consolidation of distribution centers on facility and inventory costs. We extend their result on profitability of consolidation. We associate a cooperative game with each location-inventory situation and prove that this game has a non-empty core for identical and independent demand processes. This illustrates that consolidation does not only lower joint costs (which was shown by Teo et al. (2001)), but it allows for a stable division of the minimal costs as well.

Some things couples always wanted to know about stable matchings (but were afraid to ask)

It is well-known that couples that look jointly for jobs in the same centralized labor market may cause instabilities. We demonstrate that for a natural preference domain for couples, namely the domain of responsive preferences, the existence of stable matchings can easily be established. However, a small deviation from responsiveness in one couple's preference relation that models the wish of a couple to be closer together may already cause instability. This demonstrates that the nonexistence of stable matchings in couples markets is not a singular theoretical irregularity. Our nonexistence result persists even when a weaker stability notion is used that excludes myopic blocking. Moreover, we show that even if preferences are responsive there are problems that do not arise for singles markets. Even though for couples markets with responsive preferences the set of stable matchings is nonempty, the lattice structure that this set has for singles markets does not carry over. Furthermore we demonstrate that the new algorithm adopted by the National Resident Matching Program to fill positions for physicians in the United States may cycle, while in fact a stable matchings does exist, and be prone to strategic manipulation if the members of a couple pretend to be single.

Likelihood-based approaches to modeling demand for medical care

We review recent likelihood-based approaches to modeling demand for medical care. A semi-nonparametric model along the lines of Cameron and Johansson's Poisson polynomial model, but using a negative binomial baseline model, is introduced. We apply these models, as well a semiparametric Poisson, hurdle semiparametric Poisson, and finite mixtures of negative binomial models to six measures of health care usage taken from the Medical Expenditure Panel survey. We conclude that most of the models lead to statistically similar results, both in terms of information criteria and conditional and unconditional prediction. This suggests that applied researchers may not need to be overly concerned with the choice of which of these models they use to analyze data on health care demand.

On the regional impact of public capital formation in Spain

The objective of this paper is to investigate, in a methodologically consistent manner, the regional effects of public capital formation and the possible existence of regional spillover effects in Spain. The empirical results are based on VAR estimates at both the aggregate and regional levels using output, employment, and private capital, as well as different measures of public capital. Empirical results suggest that public capital affects output positively at the aggregate level as well as in all but one region. For most regions, the effects of public capital installed in the region itself are important but the spillover effects induced from public capital installed elsewhere are also very important. In fact, the spillover effects account for over half of the total effects of public capital formation in Spain. Furthermore, these spillover effects have a clear geographical pattern in that they tend to be more important in the peripheral regions of the country. We also find that relative to their share of the Spanish output, the biggest beneficiaries of public capital formation are the largest regions in the country. This suggests that public capital formation has contributed to concentration of output in these regions. Finally, in terms of the effects of public capital formation on the private inputs we find that both private capital and employment are affected positively at the aggregate level as well as for most of the regions. Nevertheless, the effects on private capital seem to be larger. Also, the spillover effects are very important for private capital but not for employment. This reflects a great degree of dynamism and mobility in the capital markets as opposed to the labor markets.

Regional decomposition of CO2 emissions in the world: a cluster analysis

The purpose of this paper is to study the possible differences among countries as CO2 emitters and to examine the underlying causes of these differences. The starting point of the analysis is the Kaya identity, which allows us to break down per capita emissions in four components: an index of carbon intensity, transformation efficiency, energy intensity and social wealth. Through a cluster analysis we have identified five groups of countries with different behavior according to these four factors. One significant finding is that these groups are stable for the period analyzed. This suggests that a study based on these components can characterize quite accurately the polluting behavior of individual countries, that is to say, the classification found in the analysis could be used in other studies which look to study the behavior of countries in terms of CO2 emissions in homogeneous groups. In this sense, it supposes an advance over the traditional regional or rich-poor countries classifications .

(When) would i lie to you? comment on? deception: the role of consequences?

This paper reconsiders the evidence on lying or deception presented in Gneezy (2005,American Economic Review). We argue that Gneezy?s data cannot reject the hipótesis that people are one of two kinds: either a person will never lie, or a person will lie whenever she prefers the outcome obtained by lying over the outcome obtained by telling the truth. This implies that so long as lying induces a preferred outcome over truth-telling, a person?s decisión of whether to lie may be completely insensitive to other changes in the induced outcomes, such as exactly how much she monetarily gains relative to how much she hurts an anonymous partner. We run new but similar experiments to those of Gneezy in order to test this hypothesis. We find that our data cannot reject this hypothesis either, but we also discover substantial differences in behavior between our sub jects and Gneezy?s sub jects.

A Computable general equilibrium approach to hypothetical extractions and missing links

Identifying key sectors or key locations in an interconnected economy is of paramount importance for improving policy planning and directing economic strategy. Hence the relevance of categorizing them and hence the corresponding need of evaluating their potential synergies in terms of their global economic thrust. We explain in this paper that standard measures based on gross outputs do not and cannot capture the relevant impact due to self- imposed modeling limitations. In fact, common gross output measures will be systematically downward biased. We argue that an economy wide Computable General Equilibrium (CGE) approach provides a modeling platform that overcomes these limitations since it provides (i) a more comprehensive measure of linkages and (ii) an alternate way of accounting for links' relevance that is in consonance with standard macromagnitudes in the National Income and Product Accounts.

Tennis i dona

L'objectiu d'aquest document que es va presentar a l’Assignatura Campus "Esport, Olimpisme i Cultura Contemporània", durant el curs acadèmic 1998/1999, és analitzar les diferències del tennis respecte d'altres esports que han permès que sigui un esport actualment tant o més important que el dels homes.

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.

On the complexity of the Whitehead minimization problem

The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank free group. We give the first fully polynomial algorithm to solve this problem, that is, an algorithm that is polynomial both in the length of the input word and in the rank of the free group. Earlier algorithms had an exponential dependency in the rank of the free group. It follows that the primitivity problem – to decide whether a word is an element of some basis of the free group – and the free factor problem can also be solved in polynomial time.

Caracterización de juegos basados en agentes móviles: diseño e implementación de un caso práctico y su incorporación en el programa docente de una asignatura de redes de computadores

En aquest projecte s'han classificat i posteriorment caracteritzat els jocs on la tecnologia d'agents mòbils és més òptima. Posteriorment s'ha dissenyat un core per al desenvolupament de jocs d'aquesta tipologia. Mitjançant aquest core s'han implementat el joc del Parchís i el joc del Nim. Aquest últim cas pràctic ha estat realitzat per a l'elaboració d'una pràctica per a l'assignatura de Xarxes de Computadors II. Gràcies als avantatges que ens oferix la tecnologia d'agents mòbils, com la tolerància a fallades i flexibilitat, hem demostrat amb aquest projecte que és òptim utilitzar aquesta tecnologia per a la implementació de jocs.

"Pro crosis argenti". La plata al comtat de les Muntanyes de Prades: explotació, gestió i rendiment de les mines de Falset durant la baixa edat mitjana

L’objectiu de la recerca que s’ha dut a terme durant el període 2004-2007 ha estat analitzar les característiques territorials, senyorials i jurisdiccionals del domini format pel comtat de les Muntanyes de Prades i la baronia d’Entença i, a partir d’aquí, aprofundir en un aspecte concret d’aquesta senyoria: l’explotació minera de l’argent durant els segles XIV i XV. En aquest sentit, la recerca s’ha fonamentat en l’estudi de la documentació relacionada amb aquesta qüestió que hi ha dipositada a l’Arxiu Ducal de Medinaceli; la qual, però, s’ha pogut buidar i analitzar a través de la consulta de les còpies microfilmades que se’n conserven al Monestir de Poblet. Com a resultats principals s’ha aconseguit delimitar territorialment el comtat de les Muntanyes de Prades i baronia d’Entença i determinar-ne la titularitat jurisdiccional a mitjan segle XIV. A més, s’han establert els paràmetres que marquen i expliquen l’evolució de la normativa que regulava l’explotació minera de l’argent. I, finalment, s’ha pogut determinar que, segurament, la major part de l’argent produït a mitjan segle XIV es va obtenir a partir de minerals d’argent i argent natiu.

In Search of a theory of debt management

A growing literature integrates theories of debt management into models of optimal fiscal policy. One promising theory argues that the composition of government debt should be chosen so that fluctuations in the market value of debt offset changes in expected future deficits. This complete market approach to debt management is valid even when the government only issues non-contingent bonds. A number of authors conclude from this approach that governments should issue long term debt and invest in short term assets. We argue that the conclusions of this approach are too fragile to serve as a basis for policy recommendations. This is because bonds at different maturities have highly correlated returns, causing the determination of the optimal portfolio to be ill-conditioned. To make this point concrete we examine the implications of this approach to debt management in various models, both analytically and using numerical methods calibrated to the US economy. We find the complete market approach recommends asset positions which are huge multiples of GDP. Introducing persistent shocks or capital accumulation only worsens this problem. Increasing the volatility of interest rates through habits partly reduces the size of these simulations we find no presumption that governments should issue long term debt ? policy recommendations can be easily reversed through small perturbations in the specification of shocks or small variations in the maturity of bonds issued. We further extend the literature by removing the assumption that governments every period costlessly repurchase all outstanding debt. This exacerbates the size of the required positions, worsens their volatility and in some cases produces instability in debt holdings. We conclude that it is very difficult to insulate fiscal policy from shocks by using the complete markets approach to debt management. Given the limited variability of the yield curve using maturities is a poor way to substitute for state contingent debt. The result is the positions recommended by this approach conflict with a number of features that we believe are important in making bond markets incomplete e.g allowing for transaction costs, liquidity effects, etc.. Until these features are all fully incorporated we remain in search of a theory of debt management capable of providing robust policy insights.