Stochastic Minimum Spanning Tree Games

• Autores: C. Fernández, Francisco Ramón Fernández García , M.J. Zafra
• Localización: Abstracts of the Fifth Spanish Meeting on Game Theory and Applications / coord. por Jesús Mario Bilbao Arrese , Francisco Ramón Fernández García , 2002, ISBN 84-472-0733-1, pág. 104
• Idioma: inglés
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• Resumen

  • Stochastic cooperative games are a new area of interest within Game Theory, in which the worth given to any coalition through the characteristic function is a random variable. In this paper, we introduce a stochastic version of the minimum-cost-spanning-tree game (MCST-game). For this special class of games we give a family of core solutions that are based on proportional allocations of the worth allocated to the grand coalition. In addition, we give sufficient conditions ensuring that such allocations exist.