Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems

The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp. finite-dimensional) Banach spaces and that are indexed by an arbitrary fixed set J. Parameter perturbations on the right-hand side of the inequalities are required to be merely bounded, and thus the natural parameter space is l ∞(J). Our basic strategy consists of linearizing the parameterized convex system via splitting convex inequalities into linear ones by using the Fenchel–Legendre conjugate. This approach yields that arbitrary bounded right-hand side perturbations of the convex system turn on constant-by-blocks perturbations in the linearized system. Based on advanced variational analysis, we derive a precise formula for computing the exact Lipschitzian bound of the feasible solution map of block-perturbed linear systems, which involves only the system’s data, and then show that this exact bound agrees with the coderivative norm of the aforementioned mapping. In this way we extend to the convex setting the results of Cánovas et al. (SIAM J. Optim. 20, 1504–1526, 2009) developed for arbitrary perturbations with no block structure in the linear framework under the boundedness assumption on the system’s coefficients. The latter boundedness assumption is removed in this paper when the decision space is reflexive. The last section provides the aimed application to the convex case.

The evolution of gender inequality in tourism employment in Spain

Evolución de la desigualdad por género del empleo turístico en España. Si bien la inversión en capital laboral femenino en la industria turística ha aumentado en los últimos años y parece que la discriminación en el acceso a puestos directivos ha descendido, se siguen produciendo diferentes situaciones de desigualdad. La mujer mantiene un salario por debajo del hombre y han aparecido nuevas formas de segregación ocupacional entre hombres y mujeres e incluso entre las propias mujeres: la división entre trabajo a tiempo parcial y completo es un buen ejemplo de este proceso. La hipótesis que se plantea este trabajo es que esa combinación entre tiempo de trabajo remunerado (ámbito público) y no remunerado (ámbito privado, doméstico) es un obstáculo que provoca el acceso de los varones a empleos hasta ahora "femeninos"; así mismo, se observará la calidad del empleo turístico desde la perspectiva de género.

Calmness of the Feasible Set Mapping for Linear Inequality Systems

In this paper we deal with parameterized linear inequality systems in the n-dimensional Euclidean space, whose coefficients depend continuosly on an index ranging in a compact Hausdorff space. The paper is developed in two different parametric settings: the one of only right-hand-side perturbations of the linear system, and that in which both sides of the system can be perturbed. Appealing to the backgrounds on the calmness property, and exploiting the specifics of the current linear structure, we derive different characterizations of the calmness of the feasible set mapping, and provide an operative expresion for the calmness modulus when confined to finite systems. In the paper, the role played by the Abadie constraint qualification in relation to calmness is clarified, and illustrated by different examples. We point out that this approach has the virtue of tackling the calmness property exclusively in terms of the system’s data.

Health inequality between immigrants and natives in Spain: the loss of the healthy immigrant effect in times of economic crisis

Background: The immigrant population living in Spain grew exponentially in the early 2000s but has been particularly affected by the economic crisis. This study aims to analyse health inequalities between immigrants born in middle- or low-income countries and natives in Spain, in 2006 and 2012, taking into account gender, year of arrival and socioeconomic exposures. Methods: Study of trends using two cross-sections, the 2006 and 2012 editions of the Spanish National Health Survey, including residents in Spain aged 15–64 years (20 810 natives and 2950 immigrants in 2006, 14 291 natives and 2448 immigrants in 2012). Fair/poor self-rated health, poor mental health (GHQ-12 > 2), chronic activity limitation and use of psychotropic drugs were compared between natives and immigrants who arrived in Spain before 2006, adjusting robust Poisson regression models for age and socioeconomic variables to obtain prevalence ratios (PR) and 95% confidence interval (CI). Results: Inequalities in poor self-rated health between immigrants and natives tend to increase among women (age-adjusted PR2006 = 1.39; 95% CI: 1.24–1.56, PR2012 = 1.56; 95% CI: 1.33–1.82). Among men, there is a new onset of inequalities in poor mental health (PR2006 = 1.10; 95% CI: 0.86–1.40, PR2012 = 1.34; 95% CI: 1.06–1.69) and an equalization of the previously lower use of psychotropic drugs (PR2006 = 0.22; 95% CI: 0.11–0.43, PR2012 = 1.20; 95% CI: 0.73–2.01). Conclusions: Between 2006 and 2012, immigrants who arrived in Spain before 2006 appeared to worsen their health status when compared with natives. The loss of the healthy immigrant effect in the context of a worse impact of the economic crisis on immigrants appears as potential explanation. Employment, social protection and re-universalization of healthcare would prevent further deterioration of immigrants’ health status.

Intimate partner violence among women in Spain: the impact of regional-level male unemployment and income inequality

Background: Intimate partner violence (IPV) against women is a complex worldwide public health problem. There is scarce research on the independent effect on IPV exerted by structural factors such as labour and economic policies, economic inequalities and gender inequality. Objective: To analyse the association, in Spain, between contextual variables of regional unemployment and income inequality and individual women’s likelihood of IPV, independently of the women’s characteristics. Method: We conducted multilevel logistic regression to analyse cross-sectional data from the 2011 Spanish Macrosurvey of Gender-based Violence which included 7898 adult women. The first level of analyses was the individual women’ characteristics and the second level was the region of residence. Results: Of the survey participants, 12.2% reported lifetime IPV. The region of residence accounted for 3.5% of the total variability in IPV prevalence. We determined a direct association between regional male long-term unemployment and IPV likelihood (P = 0.007) and between the Gini Index for the regional income inequality and IPV likelihood (P < 0.001). Women residing in a region with higher gender-based income discrimination are at a lower likelihood of IPV than those residing in a region with low gender-based income discrimination (odds ratio = 0.64, 95% confidence intervals: 0.55–0.75). Conclusions: Growing regional unemployment rates and income inequalities increase women’s likelihood of IPV. In times of economic downturn, like the current one in Spain, this association may translate into an increase in women’s vulnerability to IPV.

Tourism potential analysis of the castles of Vinalopó, Spain: an opportunity for social and tourist development of cultural heritage

Within the overall framework of the renewal process of coastal tourist destinations, cultural heritage has frequently been used as a key argument for the introduction and development of strategies for the diversification and differentiation of the traditional tourist product based on sun and sand. This is the situation of the province of Alicante, identified with the Costa Blanca geotourism brand, where there are important economic issues that could contribute to the renewal of this coastal tourist destination. One of the most significant heritage values of this space consists of a series of medieval fortresses located along the axis of the Vinalopó River, which has acted since prehistoric times as a natural route from within the provincial mainland to the coast. It is precisely the argument of this historical, territorial and landscape content that has been used repeatedly in recent years to develop initiatives aimed at the creation of a tourist product, currently inexistent, based on the route of the castles of Vinalopó. This communication aims to analyse the degree of tourism potential of the fortresses located in the towns of Biar, Banyeres de Mariola, Sax, Villena, Novelda, Elda, Petrer and Elche, which constitute the core of municipalities where these medieval fortresses are located, finally pointing out some proposals for the creation of a heritage tourism product.

spotlight europe #2013/04, May 2013: The Changing Face of North Africa. An Opportunity for and with Europe.

North Africa is changing fast, and its youthful societies look back with pride at their recent uprisings. However, they are also getting frustrated by the fact that the economic outlook is not improving. Europe’s role in the strategically important southern Mediterranean area needs to be realigned in order to promote the development of democracy, employment opportunities, and security. There is a great deal of potential for cooperation with Morocco, Algeria, Tunisia, Libya and Egypt.

The Opportunity Costs of STEM Degrees and the Unmet Needs of the Low-Skilled: Two labour market problems explained. CEPS Policy Brief No. 295, 26 June 2013

There is general consensus that to achieve employment growth, especially for vulnerable groups, it is not sufficient to simply kick-start economic growth: skills among both the high- and low-skilled population need to be improved. In particular, we argue that if the lack of graduates in science, technology, engineering and mathematics (STEM) is a true problem, it needs to be tackled via incentives and not simply via public campaigns: students are not enrolling in ‘hard-science’ subjects because the opportunity cost is very high. As far as the low-skilled population is concerned, we encourage EU and national policy-makers to invest in a more comprehensive view of this phenomenon. The ‘low-skilled’ label can hide a number of different scenarios: labour market detachment, migration, and obsolete skills that are the result of macroeconomic structural changes. For this reason lifelong learning is necessary to keep up with new technology and to shield workers from the risk of skills obsolescence and detachment from the labour market.

Better use of resources is the means to growth, prosperity and welfare - but will the EU jump on the opportunity? EPC Commentary, 25 September 2014

As the new European Commission steps in and looks for ways to promote growth and competitiveness, its success will depend on what emphasis will be given to creating a more sustainable European economy. What will determine the EU’s competitiveness and comparative advantage on a global scene is how well we will respond to the ongoing economic and ecological crises – which are intertwined and reinforce each other. The big question is what emphasis will the new Commission and the EU as a whole give to promoting sustainable and greener growth, based on good management of natural resources and biodiversity, smarter use of resources and mitigating climate change?

The bear watches the dragon. The Russian debate on China. OSW Point of View Number 31, February 2013

Most participants in the Russian public debate seem to agree in their evaluation of the present condition of Russian-Chinese relations. There is awareness of increasing inequality between these two powers and Russia’s weakening position as compared to China.Those who share the optimistic view see co-operation with China as an opportunity for the Russian economy and a key element of Russia’s multi-directional foreign policy, an opportunity for Russia to avoid unilateral dependence on the West. The pessimists view the deepening co-operation with China through the prism of threats resulting from the increasing imbalance in bilateral relations. The greatest source of concern is the model of economic relations, which is often referred to as neo-colonial, where Russia’s role is reduced to that of a supplier of raw materials to China. The possible consequences are evaluated in different ways, ranging from the political subordination of Russian interests the Chinese ones to real loss of control over the Russian Far East. Those who share such views believe that Moscow should slow down its rapprochement with China and search for other partners in Eastern Asia, relations with whom could counterbalance the Chinese influence.

The role of cultural attributes in inequality. ACES Working Paper No. 1, 2008

This paper used cross country data in order to identify the variables that determine the inequality and poverty within countries. The main result is that culture differences have a significant role in the explanation of inequality and poverty differences between countries. Other interesting results are that globalization above a certain level contributes to inequality and poverty, and that inequality and poverty have an inverse U relation in relation to literacy.