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 theses 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 |
Files in This Item:
File | Description | Size | Format | |
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148799.pdf | Memòria | 298.75 kB | Adobe PDF | View/Open |
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