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El poder de las naciones en la Unión Europea

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Author Info
Encarnación Algaba () (Universidad de Sevilla)
Jesús Mario Bilbao () (Universidad de Sevilla)
Julio R. Fernández () (Universidad de Sevilla)
Abstract

En este trabajo se definen algoritmos, basados en funciones generatrices, para calcular el índice de poder de Banzhaf en juegos simples de votación ponderada y en juegos de doble y triple mayoría. La utilización de funciones generatrices permite un cálculo exacto del índice de Banzhaf con una reducción sensible de la complejidad temporal. Además se calculan los índices de Banzhaf para las reglas de decisión, aprobadas en la cumbre de Niza, que se utilizan en la Unión Europea ampliada a 25 países. Finalmente, se demuestra que los sistemas de triple mayoría adoptados son equivalentes en la práctica a juegos de mayoría simple o doble, porque la cuota de población exigida para aprobar una decisión no cambia el índice de Banzhaf de los países de la Unión Europea ampliada.

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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2005/26.

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Length: 24 pages
Date of creation: 2005
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Handle: RePEc:cea:doctra:e2005_26

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Related research
Keywords: Juegos de votación; índice de Banzhaf; Unión Europea;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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  1. Algaba, E. & Bilbao, J. M. & Fernandez Garcia, J. R. & Lopez, J. J., 2003. "Computing power indices in weighted multiple majority games," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 63-80, August. [Downloadable!] (restricted)
  2. Harsanyi, John C., 1992. "Game and decision theoretic models in ethics," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 19, pages 669-707 Elsevier. [Downloadable!] (restricted)
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