Computer Science > Computer Science and Game Theory
[Submitted on 15 May 2019 (v1), last revised 3 Jan 2020 (this version, v3)]
Title:Applying Abstract Argumentation Theory to Cooperative Game Theory
View PDFAbstract: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.
Submission history
From: Anthony Young [view email][v1] Wed, 15 May 2019 16:40:16 UTC (32 KB)
[v2] Wed, 2 Oct 2019 21:43:01 UTC (35 KB)
[v3] Fri, 3 Jan 2020 09:42:12 UTC (32 KB)
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