We apply ideas from abstract argumentation theory to study cooperative game theory. Building on Dung's results in his seminal paper, we further the correspondence between Dung's four argumentation semantics and solution concepts in cooperative game theory by showing that complete extensions (the grounded extension) correspond to Roth's subsolutions (respectively, the supercore). We then investigate the relationship between well-founded argumentation frameworks and convex games, where in each case the semantics (respectively, solution concepts) coincide; we prove that three-player convex games do not in general have well-founded argumentation frameworks.

中文翻译：

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抽象论证理论在合作博弈论中的应用

我们应用抽象论证理论的思想来研究合作博弈论。基于 Dung 在他的开创性论文中的结果，我们通过证明完全扩展（接地扩展）对应于 Roth 的子解（分别为超级核），进一步证明了 Dung 的四个论证语义与合作博弈论中的解概念之间的对应关系。然后我们研究了有根据的论证框架和凸博弈之间的关系，在每种情况下，语义（分别是解决方案概念）是一致的；我们证明了三人凸游戏通常没有充分的论证框架。