Resumen de Stochastic Minimum Spanning Tree Games

C. Fernández, Francisco Ramón Fernández García , M.J. Zafra

• 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.