Joint research unit 7235

Integer Programming and Nondictatorial Arrovian Social Welfare Functions

Francesca Busetto, Simone Tonin, Giulio Codognato

Following Sethuraman, Teo and Vohra ((2003), (2006)), we apply integer programming tools to the analysis of fundamental issues in social choice theory. We generalize Sethuraman et al.’s approach specifying integer programs in which variables are allowed to assume values in the set {0; 1/2 ; 1}. We show that there exists a one-to-one correspondence between the solutions of an integer program defined on this set and the set of the Arrovian social welfare functions with ties (i.e. admitting indifference in the range). We use our generalized integer programs to analyze nondictatorial Arrovian social welfare functions, in the line opened by Kalai and Muller (1977). Our main theorem provides a complete characterization of the domains admitting non- dictatorial Arrovian social welfare functions with ties by introducing a notion of strict decomposability.

AGENDA

Thursday 9 February 2023

Gender, competitiveness, and reaction to defeat

Claire Mollier

Gender, competitiveness, and reaction to defeat

Thursday 9 February 2023

Doctorants

Claire Mollier

Gender, competitiveness, and reaction to defeat

Friday 10 February 2023

Colloques et Workshops

Digital Economics Workshop

Friday 10 February 2023

Colloques et Workshops

Digital Economics Workshop

Tuesday 14 February 2023

Recherche et Economie et Socioéconomie Politique, des Institutions et des Régulations (RESPIR)

Thibault Mirabel

Firms and Cooperatives: The Social Organizations of Production in Market Economies

Tuesday 14 February 2023

Firms and Cooperatives: The Social Organizations of Production in Market Economies

Thibault Mirabel

Firms and Cooperatives: The Social Organizations of Production in Market Economies

Wednesday 15 February 2023

Pratique du Takaful en France: l’expérience de SAAFI

Ezzedine GHLAMALLAH (CERGAM, Université Aix-Marseille)

Pratique du Takaful en France: l’expérience de SAAFI

Wednesday 15 February 2023

Économies du monde musulman

Ezzedine GHLAMALLAH (CERGAM, Université Aix-Marseille)

Pratique du Takaful en France: l’expérience de SAAFI

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