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In this paper we propose a simplicia1 algorithm to find a core element for balanced gal1les without side payments. The algorithm subdivides an appropriate simplex into smaller simplices and generates from an arbitrarily chosen point a sequence of adjacent simplices of variable dirnellsion. Within it finite number of iterations the algorithm finds a simplex yielding an approximating core element. If the accuracy of approximation is not satisfactory, the algorithm can be restarted with a smaller mesh size in order to improve the accuracy.

SIMPLICIAL ALGORITHM FOR COMPUTING A CORE ELEMENT IN A BALANCED GAME