Teoria de jocs: índexs de poder i aplicació en aliances post-electorals

Abstract

The main objective of this work is to study in-depth the concepts of power indices in weighted majority games. In particular, to apply this study and understanding of the power dynamics established in partisan political representation chambers. The theoretical part focuses on the mathematical preliminary concepts needed to understand weighted majority games. It starts with a general overview of game theory, then narrows down to transferable utility games, followed by simple games, and finally reaching majority games. The relevant mathematical definitions are provided for understanding the concepts. The practical part consists of developing computer software to automate the calculation of the two main power indices in weighted majority games. In particular, it is used to analyze the electoral results in the elections to the Parliament of Catalonia.