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We investigate the argumentation frameworks (AFs) that arise from multi-player transferable-utility cooperative games. These AFs have uncountably infinitely many arguments; arguments represent alternative payoff distributions to the players. We examine which of the various properties of AFs (from Dung’s 1995 seminal paper) hold; we prove that these AFs are never finitary, never well-founded, always controversial and never limited controversial. We hope that this will encourage further exchange of ideas between argumentation and cooperative games.
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