Prove that a three-player 0-normalized game whose core is


Prove that a three-player 0-normalized game whose core is nonempty, and satisfying v(S) ≥ 0 for every coalition S, is monotonic.

Is this true also for games with more than three players? Justify your answer.

Does it hold true without the condition that v(S) ≥ 0 for every coalition? Justify your answer.

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Game Theory: Prove that a three-player 0-normalized game whose core is
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