  This paper presents a pilot study aimed at introducing multi-agent debate
into multimodal reasoning. The study addresses two key challenges: the
trivialization of opinions resulting from excessive summarization and the
diversion of focus caused by distractor concepts introduced from images. These
challenges stem from the inductive (bottom-up) nature of existing debating
schemes. To address the issue, we propose a deductive (top-down) debating
approach called Blueprint Debate on Graphs (BDoG). In BDoG, debates are
confined to a blueprint graph to prevent opinion trivialization through
world-level summarization. Moreover, by storing evidence in branches within the
graph, BDoG mitigates distractions caused by frequent but irrelevant concepts.
Extensive experiments validate that BDoG is able to achieve state-of-the-art
results in ScienceQA and MMBench with significant improvements over previous
methods. The source code can be accessed at https://github.com/thecharm/BDoG.
