Guaranteeing Admissibility of Abstract Argumentation Frameworks with Rationality and Feasibility Constraints

Author:

Chen Weiwei1

Affiliation:

1. Institute of Logic and Cognition and Department of Philosophy, Sun Yat-sen University, Guangzhou, 510275, China

Abstract

Abstract This paper considers the problem of under what circumstances an aggregation rule guarantees admissible sets of arguments that represent a good compromise between several extensions, i.e., sets of arguments of abstract argumentation frameworks each provided by a different individual. We start by showing that the preservation results of Dung’s admissibility, graded admissibility and strong admissibility during the aggregation of extensions are negative. To overcome such negative results, we define a model for extension aggregation that clearly separates the constraint supposed to be satisfied by individuals and the constraint that must be met by the collective decision. Using this model, we show that the majority rule guarantees admissible sets on profiles that satisfy a variant of Dung’s admissibility, as well as profiles of extensions with some specific characteristics.

Funder

China Postdoctoral Science Foundation

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

Reference31 articles.

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4. Revisiting the foundations of abstract argumentation semantics based on weak admissibility and weak defense;Baumann,2020

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