Vives i Santa Eulàlia, Josep, 1963-Márquez, David (Márquez Carreras)Carceller Pardina, Maria2024-05-032024-05-032024-01-17https://hdl.handle.net/2445/210882Treballs Finals del Doble Grau d'Administració i Direcció d'Empreses i de Matemàtiques, Facultat d'Economia i Empresa i Facultat de Matemàtiques i Informàtica, Universitat de Barcelona, Curs: 2023-2024, Tutor: Josep Vives i Santa Eulàlia i David Márquez[en] We are introducing ourselves to the field of simple cooperative games, where the main purpose of players stops being their competitive strategy and becomes a study of all their possible alliances and how the consequent benefit will be shared amongst the participants. Politics is one of the main applications of this field, where coalition formation and the subsequent power distribution are analyzed. Power indices will be introduced for this purpose. When we apply it to politics, we will restrict players’ cooperation by using graphs. Not all parties are willing to form an alliance together, so we will modify the magnitude of their power with incompatibility graphs. This will allow us to find more realistic values and be able to study real situations with as much precision as we can. The theory will be used to study how far-right parties’ power indices have changed for a sample of European countries. We want to judge rationally and empirically if these parties are really growing in our society and how impactful that could be.54 p.application/pdfcatcc-by-nc-nd (c) Maria Carceller Pardina, 2024http://creativecommons.org/licenses/by-nc-nd/3.0/es/Jocs cooperatius (Matemàtica)CoalicionsExtrema dretaTreballs de fi de grauTeoria de grafsCooperative games (Mathematics)CoalitionsRight-wing extremistsBachelor's thesesGraph theoryinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess