Compound Simple Games I

Solutions of Sums and Products

by Lloyd S. Shapley

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An investigation of the solutions of the games that are formed by combining two or more simple games, played by separate groups of individuals. A simple game is one that is completely specified by its winning coalitions. Two forms of combinations are studied: the sum, in which the coalition wins if it wins in either component, and the product, in which a coalition wins only if it wins in both components. In both cases, relationships are established between the solutions of the compound games and those of the components

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