A mathematical model of a criminal-prone society

Criminals are common to all societies. To fight against them the community takes different security measures as, for example, to bring about a police. Thus, crime causes a depletion of the common wealth not only by criminal acts but also because the cost of hiring a police force. In this paper, we present a mathematical model of a criminal-prone self-protected society that is divided into socio-economical classes. We study the effect of a non-null crime rate on a free-of-criminals society which is taken as a reference system. As a consequence, we define a criminal-prone society as one whose free-of-criminals steady state is unstable under small perturbations of a certain socio-economical context. Finally, we compare two alternative strategies to control crime: (i) enhancing police efficiency, either by enlarging its size or by updating its technology, against (ii) either reducing criminal appealing or promoting social classes at risk

A methodology for the implementation and continuous improvement of social responsibility (RS) and financial responsibility

This work sets out an innovative methodology that aims to facilitate the implementation and continuous improvement of Social Responsibility. It is a methodology that takes account of strategic-economic, social and environmental questions and allows measuring the impact of each of these aspects on the stakeholders and on each of the value areas. It can be extrapolated to all kinds of organisations regardless of their size and sector and admits scaleable models. A marked feature that sets it aside from other methodologies is that it eliminates subjectivity from the qualitative aspects and introduces an algorithm to quantify them.

The role of rehabilitation of building in the urban integration, social cohesion and environmental responsibility

In the framework ofthe National Research Plan2008-2011, our research poses estrategy for the design and evaluation of plans and programmes of urban integrated regeneration. The objective is to develop a study on the role of rehabilitation of buildings in concepts like urban integration, social cohesion and environmental responsibility. The research proposes a methodological tool for evaluating urban regeneration processes from a holistic perspective that can serve as a guide for governments and technical teams to address intervention in consolidated urban areas with physical and socio-economic problems. The development of the tool has inevitably led to delve into different areas where you can intervene but has not lost sight of the complex interplay of factors involved in the process.It is an open source tool to visualize Urban Integrated Rehabilitation processes.

Corporate social responsibility in portfolio selection: A "goal games" against nature approach

Nowadays, there is an uprising social pressure on big companies to incorporate into their decision-making process elements of the so-called social responsibility. Among the many implications of this fact, one relevant one is the need to include this new element in classic portfolio selection models. This paper meets this challenge by formulating a model that combines goal programming with "goal games" against nature in a scenario where the social responsibility is defined through the introduction of a battery of sustainability indicators amalgamated into a synthetic index. In this way, we have obtained an efficient model that only implies solving a small number of linear programming problems. The proposed approach has been tested and illustrated by using a case study related to the selection of securities in international markets.