An approach to social choice theory

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: F. Javier Martínez de Albéniz[en] This work is an overview of Social Choice Theory. Social Choice Theory is a theoretical framework to analyse the combination of individual preferences and interests of a collectivity to reach a collective decision. For example, we could have a group of people choosing between budgets, or electing a candidate for an organization. We deep dive into Arrow and Gibbard-Satterthwaite theorems, which give us two impossibility results. They give some conditions for which it is impossible to implement a “reasonable” voting system. We also look at the simple majority rule and single-peaked preferences. That gives a sense of the conditions we should have so the voting system provides a fairer output