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El poder de las naciones en la Unión Europea

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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.

Suggested Citation

  • Encarnación Algaba & Jesús Mario Bilbao & Julio R. Fernández, 2005. "El poder de las naciones en la Unión Europea," Economic Working Papers at Centro de Estudios Andaluces E2005/26, Centro de Estudios Andaluces.
    • Handle: RePEc:cea:doctra:e2005_26
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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