From Individual to Collective Argumentation: Aggregating Acyclic Argumentation Frameworks

BODANZA, GUSTAVO ADRIÁN; TOHMÉ, FERNANDO ABEL

Argumentation-based Proofs of Endearment Essays in Honor of Guillermo R. Simari on the Occasion of his 70th Birthday

College Publications

Lugar: Londres; Año: 2018; p. 1 - 24

An argumentation framework consists of a class of argumentsand an abstract attack relation among them. The same arguments, butunder different attack relationships, yield different frameworks. We analyzehere how to merge frameworks with a common set of arguments;we proceed by aggregating the attack relations. A positive result ensuesfor certain classes of attack relations. In particular, in the case of acyclicattack relations, where the aggregation is obtained under the same conditionsas Arrow?s Theorem. These conditions involve certain propertiesof fairness of the aggregation process. The acyclicity of the attack relationsimplies that, if the class of winning coalitions in the voting-basedaggregation process is a proper prefilter, a single attack relation can beobtained. While many properties of the individual frameworks are preservedin the consequent merged framework, this procedure does notyield the same results when the aggregation is applied on the extensionsof argumentation frameworks.