Weighted multiple majority games with unions: Generating functions and applications to the European Union

• Published in: European journal of operational research Vol. 198; no. 2; pp. 530 - 544
• Main Authors: Alonso-Meijide, J.M., Bilbao, J.M., Casas-Méndez, B., Fernández, J.R.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 16.10.2009; Elsevier; Elsevier Sequoia S.A
• Series: European Journal of Operational Research
• Subjects: Applied sciences; Coalitional power indices; Coalitions; Comparative analysis; Decision theory. Utility theory; Exact sciences and technology; Game theory; Generating functions; Multiple majority games; Multiple majority games Generating functions Coalitional power indices; Operational research and scientific management; Operational research. Management science; Studies; Europe; Multiple majority games; Coalitional power indices; Generating functions; Social choice; Partition; Generating function; European Union; Coalition; Game theory; N person game; Decision rule
• ISSN: 0377-2217; 1872-6860
• DOI: 10.1016/j.ejor.2008.09.016

An a priori system of unions or coalition structure is a partition of a finite set of players into disjoint coalitions which have made a prior commitment to cooperate in playing a game. This paper provides “ready-to-apply” procedures based on generating functions that are easily implementable to compute coalitional power indices in weighted multiple majority games. As an application of the proposed procedures, we calculate and compare coalitional power indices under the decision rules prescribed by the Treaty of Nice and the new rules proposed by the Council of the European Union.