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The four-person constant-sum games; Discriminatory solutions on the main diagonal

The four-person constant-sum games; Discriminatory solutions on the main diagonal

It is known that every four-person constant-sum game has discriminatory solutions.In this paper, we consider the games on the "main diagonal" which are symmetric in the first three players, and look for solutions which discriminate the fourth player, i.e., give him a constant amount.The seven types of solutions are catalogued, …