Aggregating Bipolar Opinions (With Appendix)

TL;DR

This paper presents a new method for aggregating bipolar opinions in debates using Bipolar Assumption-based Argumentation, applying social choice theory to analyze property preservation under various semantics.

Contribution

It introduces a novel approach combining Bipolar ABA with judgment aggregation, providing new theoretical insights and preservation results.

Findings

Proves positive preservation results for Bipolar ABA properties

Identifies negative preservation results under certain semantics

Bridges bipolar argumentation with social choice theory

Abstract

We introduce a novel method to aggregate Bipolar Argumentation (BA) Frameworks expressing opinions by different parties in debates. We use Bipolar Assumption-based Argumentation (ABA) as an all-encompassing formalism for BA under different semantics. By leveraging on recent results on judgement aggregation in Social Choice Theory, we prove several preservation results, both positive and negative, for relevant properties of Bipolar ABA.