El potencial de Hart y Mas-Colell para juegos restringidos por grafos

• Autores: Jesús Mario Bilbao Arrese , Jorge J. López Vázquez
• Localización: Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa, ISSN 0210-8054, Vol. 20, Nº. 1, 1996, págs. 71-86
• Idioma: español
• Títulos paralelos:
  • The potential of Hart and Mas-Colell for values of graph-restricted games
• Enlaces
  • Texto completo (pdf)
• Resumen

  • This paper analyzes a model of formation of connected coalitions in a cooperative game. This model is a communication situation, and the Shapley value of this graph-restricted game is the Myerson value. The potential function for cooperative games was defined by Hart and Mas-Colell, and Winter showed that the Myerson value admits a potential function. We study a recursive procedure for computing the potential of the Myerson value. In section 3, we use the Myerson value for measuring voting power in the Spanish and the Andalusian Parliaments