Nondictatorial Arrovian Social Welfare Functions: An Integer Programming Approach

In the line opened by Kalai and Muller (1997), we explore new conditions on prefernce domains which make it possible to avoid Arrow's impossibility result. In our main theorem, we provide a complete characterization of the domains admitting nondictorial Arrovian social welfare functions with ties (i.e. including indifference in the range) by introducing a notion of strict decomposability. In the proof, we use integer programming tools, following an approach first applied to social choice theory by Sethuraman, Teo and Vohra ((2003), (2006)). In order to obtain a representation of Arrovian social welfare functions whose range can include indifference, we generalize Sethuraman et al.'s work and specify integer programs in which variables are allowed to assume values in the set {0, 1/2, 1}: indeed, we show that, there exists a one-to-one correspondence between solutions of an integer program defined on this set and the set of all Arrovian social welfare functions - without restrictions on the range.

Integer Programming on Domains Containing Inseparable Ordered Paris

Using the integer programming approach introduced by Sethuraman, Teo, and Vohra (2003), we extend the analysis of the preference domains containing an inseparable ordered pair, initiated by Kalai and Ritz (1978). We show that these domains admit not only Arrovian social welfare functions \without ties," but also Arrovian social welfare functions \with ties," since they satisfy the strictly decomposability condition introduced by Busetto, Codognato, and Tonin (2012). Moreover, we go further in the comparison between Kalai and Ritz (1978)'s inseparability and Arrow (1963)'s single-peak restrictions, showing that the former condition is more \respectable," in the sense of Muller and Satterthwaite (1985).

Enhancing Interns’ Aspirations towards the Labour Market through Skill-Acquisition: The Second Chance Schools Experience

Second Change School programmes are active in a number of European countries. These schools offer vulnerable young adults an alternative opportunity to enhance their employability skills by alternating education with work experience. People enrolling in these programmes disengaged from schools at an early age. They already experienced or are at-risk to enter into unemployment. This paper examines the impact of the Second Chance Schools on their participants’ aspirations towards the labour market through skill-acquisition. We are able to identify the perception of Second Chance Schools’ interns regarding entry to the professional life. A third of them, for example, consider their attitude or their surroundings as a barrier preventing them from getting a job. However, our results emphasise the role of the interns’ coach in improving their aspirations towards the labour market. We also show that when compared to male interns, female interns have a stronger (positive) perception of the school as a place where they can gain skills.