Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/148799
Title: An approach to social choice theory
Author: Castillo i Figueras, Ander
Director/Tutor: Martínez de Albéniz, F. Javier
Keywords: Lògica matemàtica
Treballs de fi de grau
Presa de decisions
Mathematical logic
Bachelor's thesis
Decision making
Issue Date: Jun-2019
Abstract: [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.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: F. Javier Martínez de Albéniz
URI: http://hdl.handle.net/2445/148799
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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