Power Indices and Minimal Winning Coalitions for Simple Games in Partition Function Form |
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| Authors: | J M Alonso-Meijide M Álvarez-Mozos M G Fiestras-Janeiro |
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| Institution: | 1.Departamento de Estatística, Análise Matemática e Optimización, Facultade de Ciencias,Universidade de Santiago de Compostela,Lugo,Spain;2.Departament de Matemàtica Económica, Financera i Actuarial and Barcelona Economic Analysis Team, Facultat d’Economia i Empresa,Universitat de Barcelona,Barcelona,Spain;3.Departamento de Estatística e Investigación Operativa, Facultade de Ciencias Económicas e Empresariais,Universidade de Vigo,Vigo, Pontevedra,Spain |
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| Abstract: | We propose a generalization of simple games to partition function form games based on a monotonicity property that we define in this context. This property allows us to properly speak about minimal winning embedded coalitions. We propose and characterize two power indices based on such coalitions. Finally, the new indices are used to study the distribution of power in the Parliament of Andalusia that emerged after the elections of March 22, 2015. |
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