On the dimension of the core of the assignment game

The set of optimal matchings in the assignment matrix allows to define a reflexive and symmetric binary relation on each side of the market, the equal-partner binary relation. The number of equivalence classes of the transitive closure of the equal-partner binary relation determines the dimension of the core of the assignment game. This result provides an easy procedure to determine the dimension of the core directly from the entries of the assignment matrix and shows that the dimension of the core is not as much determined by the number of optimal matchings as by their relative position in the assignment matrix.

How to assign a likelihood ratio in a footwear mark case: an analysis and discussion in the light of R v T

This article analyses and discusses issues that pertain to the choice of relevant databases for assigning values to the components of evaluative likelihood ratio procedures at source level. Although several formal likelihood ratio developments currently exist, both case practitioners and recipients of expert information (such as judiciary) may be reluctant to consider them as a framework for evaluating scientific evidence in context. The recent ruling R v T and ensuing discussions in many forums provide illustrative examples for this. In particular, it is often felt that likelihood ratio-based reasoning amounts to an application that requires extensive quantitative information along with means for dealing with technicalities related to the algebraic formulation of these approaches. With regard to this objection, this article proposes two distinct discussions. In a first part, it is argued that, from a methodological point of view, there are additional levels of qualitative evaluation that are worth considering prior to focusing on particular numerical probability assignments. Analyses will be proposed that intend to show that, under certain assumptions, relative numerical values, as opposed to absolute values, may be sufficient to characterize a likelihood ratio for practical and pragmatic purposes. The feasibility of such qualitative considerations points out that the availability of hard numerical data is not a necessary requirement for implementing a likelihood ratio approach in practice. It is further argued that, even if numerical evaluations can be made, qualitative considerations may be valuable because they can further the understanding of the logical underpinnings of an assessment. In a second part, the article will draw a parallel to R v T by concentrating on a practical footwear mark case received at the authors' institute. This case will serve the purpose of exemplifying the possible usage of data from various sources in casework and help to discuss the difficulty associated with reconciling the depth of theoretical likelihood ratio developments and limitations in the degree to which these developments can actually be applied in practice.

A theoretical and practical study on linear reforms of dual taxes

[cat] En aquest treball extenem les reformes lineals introduïdes per Pfähler (1984) al cas d’impostos duals. Estudiem l’efecte relatiu que els retalls lineals duals d’un impost dual tenen sobre la distribució de la desigualtat -es pot fer un estudi simètric per al cas d’augments d’impostos-. Tambe introduïm mesures del grau de progressivitat d’impostos duals i mostrem que estan connectades amb el criteri de dominació de Lorenz. Addicionalment, estudiem l’elasticitat de la càrrega fiscal de cadascuna de les reformes proposades. Finalment, gràcies a un model de microsimulació i una gran base de dades que conté informació sobre l’IRPF espanyol de l’any 2004, 1) comparem l’efecte que diferents reformes tindrien sobre l’impost dual espanyol i 2) estudiem quina redistribució de la riquesa va suposar la reforma dual de l’IRPF (Llei ’35/2006’) respecte l’anterior impost.

Inter-firm labor mobility and knowledge diffusion: a theoretical approach

[cat] Analitzem una economia amb dues característiques principals: la mobilitat dels treballadors implica transferència de coneixement i la productivitat de l’empresa augmenta amb l’intercanvi de coneixement. Cada empresa desenvolupa un tipus de coneixement que serà trasmès a la resta de la indústria mitjançant la mobilitat de treballadors. Estudiem dues estructures de mercat laboral i utilitzant un anàlisi comparatiu derivem les implicacions del model. Els resultats revelen com la mobilitat de treballadors depèn en la varietat i nivell del coneixement, la presència de costos de mobilitat, les institucions, la capacitat d’absorvir coneixement per part de les empreses i la mida de la indústria. Els resultats no depenen de l’estructura del mercat laboral.

Tax reforms and inequality: theoretical and empirical implications

In this paper we examine the effect of tax policy on the relationship between inequality and growth in a two-sector non-scale model. With non-scale models, the longrun equilibrium growth rate is determined by technological parameters and it is independent of macroeconomic policy instruments. However, this fact does not imply that fiscal policy is unimportant for long-run economic performance. It indeed has important effects on the different levels of key economic variables such as per capita stock of capital and output. Hence, although the economy grows at the same rate across steady states, the bases for economic growth may be different.The model has three essential features. First, we explicitly model skill accumulation, second, we introduce government finance into the production function, and we introduce an income tax to mirror the fiscal events of the 1980¿s and 1990¿s in the US. The fact that the non-scale model is associated with higher order dynamics enables it to replicate the distinctly non-linear nature of inequality in the US with relative ease. The results derived in this paper attract attention to the fact that the non-scale growth model does not only fit the US data well for the long-run (Jones, 1995b) but also that it possesses unique abilities in explaining short term fluctuations of the economy. It is shown that during transition the response of the relative simulated wage to changes in the tax code is rather non-monotonic, quite in accordance to the US inequality pattern in the 1980¿s and early 1990¿s.More specifically, we have analyzed in detail the dynamics following the simulation of an isolated tax decrease and an isolated tax increase. So, after a tax decrease the skill premium follows a lower trajectory than the one it would follow without a tax decrease. Hence we are able to reduce inequality for several periods after the fiscal shock. On the contrary, following a tax increase, the evolution of the skill premium remains above the trajectory carried on by the skill premium under a situation with no tax increase. Consequently, a tax increase would imply a higher level of inequality in the economy

Design of homogeneous territorial units : a methodological proposal

One of the main questions to solve when analysing geographically added information consists of the design of territorial units adjusted to the objectives of the study. This is related with the reduction of the effects of the Modificable Areal Unit Problem (MAUP). In this paper an optimisation model to solve regionalisation problems is proposed. This model seeks to reduce disadvantages found in previous works about automated regionalisation tools

Anàlisi factorial confirmatòria per a variables categòriques: Aplicació al qüestionari de discapacitat WHODAS-II

Objective: To describe the methodology of Confirmatory Factor Analyis for categorical items and to apply this methodology to evaluate the factor structure and invariance of the WHO-Disability Assessment Schedule (WHODAS-II) questionnaire, developed by the World HealthOrganization.Methods: Data used for the analysis come from the European Study of Mental Disorders(ESEMeD), a cross-sectional interview to a representative sample of the general population of 6 european countries (n=8796). Respondents were administered a modified version of theWHODAS-II, that measures functional disability in the previous 30 days in 6 differentdimensions: Understanding and Communicating; Self-Care, Getting Around, Getting Along withOthers, Life Activities and Participation. The questionnaire includes two types of items: 22severity items (5 points likert) and 8 frequency items (continuous). An Exploratory factoranalysis (EFA) with promax rotation was conducted on a random 50% of the sample. Theremaining half of the sample was used to perform a Confirmatory Factor Analysis (CFA) inorder to compare three different models: (a) the model suggested by the results obtained in theEFA; (b) the theoretical model suggested by the WHO with 6 dimensions; (c) a reduced modelequivalent to model b where 4 of the frequency items are excluded. Moreover, a second orderfactor was also evaluated. Finally, a CFA with covariates was estimated in order to evaluatemeasurement invariance of the items between Mediterranean and non-mediterranean countries.Results: The solution that provided better results in the EFA was that containing 7 factors. Twoof the frequency items presented high factor loadings in the same factor, and one of thempresented factor loadings smaller than 0.3 with all the factors. With regard to the CFA, thereduced model (model c) presented the best goodness of fit results (CFI=0.992,TLI=0.996,RMSEA=0.024). The second order factor structure presented adequate goodness of fit (CFI=0.987,TLI=0.991, RMSEA=0.036). Measurement non-invariance was detected for one of the items of thequestionnaire (FD20 ¿ Embarrassment due to health problems).Conclusions: AFC confirmed the initial hypothesis about the factorial structure of the WHODAS-II in 6factors. The second order factor supports the existence of a global dimension of disability. The use of 4of the frequency items is not recommended in the scoring of the corresponding dimensions.

Interaction analysis and psychology: A dialogical perspective

Interaction analysis is not a prerogative of any discipline in social sciences. It has its own history within each disciplinary field and is related to specific research objects. From the standpoint of psychology, this article first draws upon a distinction between factorial and dialogical conceptions of interaction. It then briefly presents the basis of a dialogical approach in psychology and focuses upon four basic assumptions. Each of them is examined on a theoretical and on a methodological level with a leading question: to what extent is it possible to develop analytical tools that are fully coherent with dialogical assumptions? The conclusion stresses the difficulty of developing methodological tools that are fully consistent with dialogical assumptions and argues that there is an unavoidable tension between accounting for the complexity of an interaction and using methodological tools which necessarily "monologise" this complexity.

Theoretical study of elastic electron scattering off stable and exotic nuclei

Results for elastic electron scattering by nuclei, calculated with charge densities of Skyrme forces and covariant effective Lagrangians that accurately describe nuclear ground states, are compared against experiment in stable isotopes. Dirac partial-wave calculations are performed with an adapted version of the ELSEPA package. Motivated by the fact that studies of electron scattering off exotic nuclei are intended in future facilities in the commissioned GSI and RIKEN upgrades, we survey the theoretical predictions from neutron-deficient to neutron-rich isotopes in the tin and calcium isotopic chains. The charge densities of a covariant interaction that describes the low-energy electromagnetic structure of the nucleon within the Lagrangian of the theory are used to this end. The study is restricted to medium- and heavy-mass nuclei because the charge densities are computed in mean-field approach. Because the experimental analysis of scattering data commonly involves parameterized charge densities, as a surrogate exercise for the yet unexplored exotic nuclei, we fit our calculated mean-field densities with Helm model distributions. This procedure turns out to be helpful to study the neutron-number variation of the scattering observables and allows us to identify correlations of potential interest among some of these observables within the isotopic chains.

Wave propagation in a medium with disordered excitability

The effect of quenched disorder on the propagation of autowaves in excitable media is studied both experimentally and numerically in relation to the light-sensitive Belousov-Zhabotinsky reaction. The spatial disorder is introduced through a random distribution with two different levels of transmittance. In one dimension the (time-averaged) wave speed is smaller than the corresponding to a homogeneous medium with the mean excitability. Contrarily, in two dimensions the velocity increases due to the roughening of the front. Results are interpreted using kinematic and scaling arguments. In particular, for d = 2 we verify a theoretical prediction of a power-law dependence for the relative change of the propagation speed on the disorder amplitude.

L'insertion sociale plurielle des femmes cadres supérieurs en Suisse : contribution à l'étude du bien-être subjectif au quotidien : approche qualitative intégrative

RESUME« L'insertion sociale plurielle des femmes cadres supérieurs en Suisse. Contribution à l'étude du bien-être subjectif au quotidien. Approche intégrative qualitative. »Depuis une quarantaine d'années, nombreux sont les travaux qui étudient les relations entre les différents milieux de vie au quotidien et, plus particulièrement, l'impact de leurs articulations singulières sur la santé. Nous y identifions deux axes principaux : l'un aborde ce phénomène selon une perspective de « conflit travail-famille » en termes de « stress », l'autre se focalise davantage sur la promotion du « bien-être » au travers d'une approche d'« équilibre travail-vie ». Or, l'ensemble de ces recherches considère comme «pathogènes» les désajustements, les contradictions et les tensions vécus au quotidien. Selon cette tendance, le « bien-être » apparaît comme un état d'équilibre ultime indépendant du contexte de vie du sujet. Toutefois, peu de recherches portent sur la dimension située du bien-être dans son rapport à l'activité concrète au sein des milieux deNotre étude s'intéresse à cette question auprès des femmes cadres supérieurs, selon une perspective critique et développementale en psychologie de la santé (Lyons & Chamberlain, 2006 ; Santiago-Delefosse, 2002,2011 ; Malrieu, 1989 ; Vygotski, 1985). En effet, cette population constitue un terrain privilégié pour comprendre le sens donné à l'activité à partir des contraintes, responsabilités et demandes perçues dans des contextes parfois contradictoires, et pour analyser le rôle de ces derniers dans un bien-être subjectif.En cohérence avec notre positionnement théorique, nous avons mené des entretiens qualitatifs focalisés sur l'activité quotidienne auprès de 20 femmes, et ceci en deux temps (T1-T2) (40 entretiens). Les résultats issus des analyses du contenu des discours permettent de définir le vécu de l'articulation des milieux de vie chez nos participantes, selon trois axes à la fois interdépendants et autonomes. Chaque axe se définit par une série de supports spécifiques jouant un rôle structurant dans leur bien-être subjectif. Ainsi, le premier axe se caractérise par des supports de maîtrise subjective, ainsi que par l'appropriation de contraintes sociales et corporelles, selon un rythme de l'activité soutenu. Le deuxième s'accompagne de supports qui favorisent la prise de distance au travers du relâchement du rythme et du lâcher prise de la maîtrise, par la création d'espaces personnels et sociaux « pour soi ». Enfin, le troisième porte sur le positionnement de soi par rapport à autrui en termes de « personnalisation ».Construits en rapport à la corporéité et à autrui au sein de contextes spécifiques, ces différents supports prennent leur sens au sein d'un système de pratiques global, unique pour chaque femme. Selon cette conception critique, le bien-être subjectif chez les femmes cadres se définit comme le fruit d'un processus mouvant issu des tensions vécues entre les trois axes de l'articulation des milieux de vie. Il est par conséquent social, corporel et psychologique.Nos résultats ouvrent des perspectives de recherche et d'intervention, notamment en santé et travail. Ces ouvertures sont orientées vers une approche intégrative en psychologie de la santé, c'est-à-dire, de la prise en compte dans des questions de santé et de bien-être du processus de construction du sujet en relation à son insertion sociale plurielle.ABSTRACT« Plural social participation among women senior managers in Switzerland. Contribution to the study of subjective well-being in everyday life. An integrative and qualitativeapproach.»For the last forty years, a large body of literature has studied the relationships between different social realms in everyday life and, more particularly, the impact of their singular intertwinements with health. We identify two main trends : The first one focuses on this phenomenon through the « work-family conflict » perspective in terms of « stress » whilst the second one is more concerned by the promotion of « well-being » through a « work-life balance » approach. However, both of these trends consider disadjustments, contradictions and tensions in everyday life as « pathogenic ». According to this conception, « well- being » appears as an ultimate state of balance which is indépendant from the subject's life context. Nevertheless, few studies have examined the situated dimension of well-being in its link to concrete activity in social realms.Our research is concerned with this issue among women senior managers from a critical and developmental perspective in Health Psychology (Lyons & Chamberlain, 2006 ; Santiago-Delefosse, 2002, 2011 ; Malrieu, 1989 ; Vygotski, 1985). In fact, this population represents a favourable field so as to study : how the meaning of daily activity is constructed accross different and often conflictive social realms ; to understand the many ways in which this population deals with perceived constraints, responsibilities and requests, and to analyse the role of situated plural activity in subjective well-being.Consitent with our theoretical framework, we have designed a qualitative method. We have conducted two-time (T1-T2) interviews with 20 women by focusing on their daily activity (40 interviews). The Thematic Content Analysis reveals that four different social realms are articulated among our participants through three main axes, which are at the same time interdependent and autonomous. Each one of these axis is defined by a certain number of specific supports that play an important role in these women's subjective well- being. The first axis is concerned by several supports that signify a « feeling of control » along with the appropriation of social and body constraints by means of a rapid pace of activity. The second one regards the use of supports that contribute to « put things into perspective » by means of the slowing down of the pace of activity and through letting go of the feeling of control. This mechanism includes the creation of personal and social spaces of « one's own ». The third axis is defined by the positioning of the self in regard to others through a process of « personnalization ».Developed in specific contexts through the intertwinnements between the body and social others, supports belonging to these axes acquire significance and meaning on the basis of their relationship to a global system of activities of which they are part. However, this articulation is uniquely defined for each participant. According to this critical approach, subjective well-being among women senior managers emerges as a meaningful and changing process, situated in a plural social context. This is, it appears as the result of conflictual interactions defining the three different axis that we have identified. Subjective well-being is hence a social, embodied and psychological phenomena that is closely linked to the articulation of different social realms. Our findings open new research and practice perspectives, especially concerning health and work issues. These perspectives convey an integrative approach in Health Psychology by considering health and well-being by taking into account the process of construction of the subject in regard to his or her plural social participation.

Self-sustained spatiotemporal oscillations induced by membrane-bulk coupling

We propose a novel mechanism leading to spatiotemporal oscillations in extended systems that does not rely on local bulk instabilities. Instead, oscillations arise from the interaction of two subsystems of different spatial dimensionality. Specifically, we show that coupling a passive diffusive bulk of dimension d with an excitable membrane of dimension d-1 produces a self-sustained oscillatory behavior. An analytical explanation of the phenomenon is provided for d=1. Moreover, in-phase and antiphase synchronization of oscillations are found numerically in one and two dimensions. This novel dynamic instability could be used by biological systems such as cells, where the dynamics on the cellular membrane is necessarily different from that of the cytoplasmic bulk.

Early Iron Age Pottery: A Quantitative Approach, Proceedings of the International Round Table organized by the Swiss School of Archaeology in Greece (Athens, November 28-30, 2008)

Quantitative approaches in ceramology are gaining ground in excavation reports, archaeological publications and thematic studies. Hence, a wide variety of methods are being used depending on the researchers' theoretical premise, the type of material which is examined, the context of discovery and the questions that are addressed. The round table that took place in Athens on November 2008 was intended to offer the participants the opportunity to present a selection of case studies on the basis of which methodological approaches were discussed. The aim was to define a set of guidelines for quantification that would prove to be of use to all researchers. Contents: 1) Introduction (Samuel Verdan); 2) Isthmia and beyond. How can quantification help the analysis of EIA sanctuary deposits? (Catherine Morgan); 3) Approaching aspects of cult practice and ethnicity in Early Iron Age Ephesos using quantitative analysis of a Protogeometric deposit from the Artemision (Michael Kerschner); 4) Development of a ceramic cultic assemblage: Analyzing pottery from Late Helladic IIIC through Late Geometric Kalapodi (Ivonne Kaiser, Laura-Concetta Rizzotto, Sara Strack); 5) 'Erfahrungsbericht' of application of different quantitative methods at Kalapodi (Sara Strack); 6) The Early Iron Age sanctuary at Olympia: counting sherds from the Pelopion excavations (1987-1996) (Birgitta Eder); 7) L'aire du pilier des Rhodiens à Delphes: Essai de quantification du mobilier (Jean-Marc Luce); 8) A new approach in ceramic statistical analyses: Pit 13 on Xeropolis at Lefkandi (David A. Mitchell, Irene S. Lemos); 9) Households and workshops at Early Iron Age Oropos: A quantitative approach of the fine, wheel-made pottery (Vicky Vlachou); 10) Counting sherds at Sindos: Pottery consumption and construction of identities in the Iron Age (Stefanos Gimatzidis); 11) Analyse quantitative du mobilier céramique des fouilles de Xombourgo à Ténos et le cas des supports de caisson (Jean-Sébastien Gros); 12) Defining a typology of pottery from Gortyn: The material from a pottery workshop pit, (Emanuela Santaniello); 13) Quantification of ceramics from Early Iron Age tombs (Antonis Kotsonas); 14) Quantitative analysis of the pottery from the Early Iron Age necropolis of Tsikalario on Naxos (Xenia Charalambidou); 15) Finding the Early Iron Age in field survey: Two case studies from Boeotia and Magnesia (Vladimir Stissi); 16) Pottery quantification: Some guidelines (Samuel Verdan)

Poincaré is a subgroup of Galilei in one space dimension more

Through an imaginary change of coordinates, the ordinary Poincar algebra is shown to be a subalgebra of the Galilei one in four space dimensions. Through a subsequent contraction the remaining Lie generators are eliminated in a natural way. An application of these results to connect Galilean and relativistic field equations is discussed.