Diverse Evidence, Better Forecasts: Multi-Agent Deliberation Under Information Asymmetry
Proposes InfoDelphi, a multi-agent forecasting framework using evidence partitioning, reducing error correlation by 12-18%.
Key Findings
Methodology
This paper introduces InfoDelphi, integrating relevance-aware evidence routing via BM25, iterative rationale sharing, and confidence-weighted aggregation. Evidence is split into shared public and disjoint private subsets, ensuring diversity and communication. During deliberation, models exchange rationales rather than raw evidence, enabling private signals to propagate. Theoretically, evidence partitioning reduces inter-model error correlation, boosting collective accuracy.
Key Results
- On PolyGym, the framework reduces Brier scores from 0.202 to 0.178, a 12-18% improvement, and raises accuracy from 68.8% to 77.9%. Even without deliberation, evidence partitioning outperforms single models. Multi-round deliberation with rationale sharing further enhances performance, confirming the importance of input diversity.
Significance
This work addresses a fundamental bottleneck in multi-agent forecasting—error correlation due to homogeneous evidence—by designing evidence distribution strategies. It advances theoretical understanding and offers practical methods to improve collective decision-making, with implications for finance, policy, and AI safety. The approach paves the way for more robust, accurate, and interpretable multi-model systems.
Technical Contribution
The paper's main contribution is the formalization of evidence partitioning as a means to decorrelate errors among models, supported by theoretical proofs. It combines relevance-based evidence routing, multi-round rationale exchange, and confidence-weighted aggregation, surpassing existing homogeneous-input ensemble methods. The framework generalizes across models and tasks, offering a new paradigm for collaborative AI reasoning.
Novelty
This is the first systematic application of designed evidence asymmetry to improve multi-agent forecasting. Unlike prior ensemble methods that treat models as homogeneous, this approach leverages diverse evidence and iterative reasoning to break error correlation. The integration of evidence routing, rationale sharing, and confidence-weighted fusion constitutes a novel, effective strategy for collective intelligence.
Limitations
- The method relies on pre-defined evidence routing, which may be suboptimal if retrieval quality is poor. Multi-round deliberation increases computational costs and may lead to convergence issues in highly unbalanced information distributions. Error correlation, though reduced, is not eliminated entirely, and performance may degrade in noisy or adversarial environments.
Future Work
Future research will explore dynamic evidence routing strategies, integrating deep retrieval models and multi-modal data. Enhancing model interpretability and robustness, especially in real-world noisy settings, remains critical. Extending the framework to larger, more complex prediction tasks and multi-source data fusion will further validate its scalability and applicability.
AI Executive Summary
The challenge of accurately forecasting future events has long been a central concern in AI and decision sciences. Traditional approaches often rely on single models or homogeneous ensembles, which suffer from correlated errors and limited predictive gains. Recent advances in large language models (LLMs) have shown promise, but their effectiveness in collective reasoning remains constrained by information sharing limitations.
This paper introduces InfoDelphi, a novel multi-agent framework designed to overcome these limitations by exploiting the principle of information asymmetry. The core idea is to partition evidence into shared public and private subsets, ensuring each model receives a unique, complementary signal. This strategy reduces error correlation among models, a key factor identified in the theoretical analysis. The framework employs relevance-aware evidence routing, based on BM25 ranking, to construct evidence partitions. During multi-round deliberation, models exchange rationales—structured reasoning snippets—rather than raw data, enabling private signals to propagate effectively. The final predictions are aggregated using confidence-weighted averaging in logit space, emphasizing the most informed models.
Extensive experiments on the PolyGym benchmark, comprising 375 real-world prediction questions, demonstrate the effectiveness of this approach. Results show a significant reduction in Brier scores from 0.202 to 0.178 and an accuracy increase from 68.8% to 77.9%. Notably, evidence partitioning alone already outperforms many single-model baselines, and multi-round deliberation with rationale sharing further enhances performance. Ablation studies confirm that the key to success lies in the combination of evidence diversity, reasoning exchange, and confidence-weighted fusion.
These findings have broad implications for AI-driven forecasting, collective intelligence, and decision support systems. By systematically addressing the error correlation problem, the proposed framework sets a new standard for collaborative AI reasoning. Future work will focus on dynamic evidence routing, multi-modal data integration, and improving robustness in noisy environments, aiming to realize scalable, interpretable, and reliable multi-agent systems for complex real-world tasks.
Deep Analysis
Background
Recent developments in large language models (LLMs) like GPT-4 and PaLM have demonstrated remarkable capabilities in natural language understanding and reasoning. Early efforts in AI forecasting focused on single-model pipelines, utilizing retrieval-augmented generation (Lewis et al., 2020) and chain-of-thought prompting (Wei et al., 2022). However, these systems often face calibration issues and limited accuracy in complex tasks. Inspired by human collective decision mechanisms such as expert panels and Delphi methods, researchers have explored multi-agent systems to leverage distributed knowledge. Yet, most existing approaches treat all models as receiving identical evidence, leading to correlated errors and limited gains, as highlighted by empirical studies showing high error correlation across models (Kim et al., 2025). The challenge remains to design evidence distribution and communication strategies that foster diversity and effective collaboration.
Core Problem
The core problem is that when multiple models or agents are provided with the same evidence, their errors tend to be highly correlated, which diminishes the benefit of ensemble or collaborative reasoning. This phenomenon, known as Herding, prevents the system from achieving the theoretical advantages of diversity. Existing multi-agent debate frameworks, such as Wang et al. (2024), show limited improvements because they do not sufficiently break error correlation. The fundamental question is how to distribute evidence and facilitate communication so that models can hold diverse, complementary signals, thereby enabling genuine belief revision and improved collective accuracy.
Innovation
This work introduces the principle of designed information asymmetry, operationalized through Evidence Routing, Rationale Sharing, and Confidence-weighted Aggregation. Evidence Routing uses BM25 relevance ranking to partition evidence into shared and private subsets, ensuring each model has unique signals. Rationale Sharing enables models to exchange structured reasoning snippets over multiple rounds, breaking the Markov chain limitations of mere numeric exchange. Confidence-weighted aggregation emphasizes predictions from models with stronger private signals, further boosting accuracy. The combination of these innovations theoretically reduces error correlation and empirically improves forecasting performance, surpassing existing homogeneous-input methods.
Methodology
- �� Evidence Routing: Using BM25 relevance scores, evidence is split into a shared public pool and disjoint private subsets, ensuring diversity and common ground.
- �� Iterative Deliberation: Models generate structured forecasts and rationales over multiple rounds, exchanging reasoning snippets to propagate private signals.
- �� Rationale Sharing: During each round, models incorporate reasoning excerpts from others, transforming the communication from a closed to an open system.
- �� Confidence-weighted Aggregation: Final predictions are combined in logit space, weighted by prediction extremity, to emphasize the most informed models.
- �� Theoretical Analysis: Formal proofs demonstrate that evidence partitioning reduces inter-model error correlation, supported by covariance and error decomposition analyses.
Experiments
The evaluation uses PolyGym, a controlled benchmark with 375 real-world Polymarket questions, fixed evidence pools, and standardized retrieval. Models include gpt-4o, DeepSeek-V3.2, and Llama-4-Scout, tested under different configurations: with/without evidence partitioning, multiple rounds, and rationale sharing. Metrics include Brier score and accuracy. Ablation studies systematically remove components to assess their impact. Cross-model tests verify generalization across architectures. Hyperparameters such as ρ=0.5 (public/private split), R=2 rounds, and relevance-based routing are used to optimize performance.
Results
InfoDelphi achieves a Brier score of 0.178, outperforming all baselines by 12-18%, and accuracy reaches 77.9%, surpassing single models and homogeneous multi-agent methods. Evidence partitioning alone improves performance, and multi-round deliberation with rationale sharing yields further gains. Ablation results confirm that removing evidence asymmetry or rationale sharing significantly degrades results, validating the importance of the proposed design. Cross-model experiments demonstrate robustness and scalability across different LLM architectures.
Applications
This framework can be applied to real-time financial forecasting, policy analysis, and crisis prediction, especially in environments with dispersed and asymmetric information. Its ability to leverage diverse signals and facilitate effective communication among models makes it suitable for complex decision-making tasks requiring high accuracy and calibration. Additionally, it provides a foundation for developing interpretable and robust multi-agent AI systems in various domains.
Limitations & Outlook
The approach depends on the quality of evidence retrieval; poor retrieval reduces effectiveness. Multi-round deliberation increases computational costs and may lead to convergence issues in highly unbalanced information settings. Error correlation, though reduced, is not eliminated entirely, and the method's scalability to larger, more complex tasks remains to be validated. Future work should address these challenges to enhance robustness and efficiency.
Plain Language Accessible to non-experts
想象你和几个朋友在玩一个拼图游戏。每个人都拿到一部分拼图碎片,但每个人的碎片都不一样。有的朋友拿到边缘碎片,有的拿到中心碎片。你们轮流讨论,把自己手里的碎片拼在一起,逐步完成整个拼图。如果每个人都只知道自己的一部分,讨论就会变得无趣,大家的拼图也难以完整。相反,如果每个人都带来不同的碎片,大家可以互相交换信息,拼出更完整的图。这就像论文中的方法,把证据分成公共和私有两部分,让每个模型都拥有不同的线索,通过交流和推理,集体变得更聪明。这样,团队合作就能更快、更准地找到答案。
ELI14 Explained like you're 14
想象你和朋友们在玩一个超级难的拼图游戏。每个人都拿到一些碎片,但每个人的碎片都不一样。有的朋友有边缘碎片,有的朋友有中心碎片。你们轮流说自己手里的碎片,然后互相交换信息。因为每个人带来不同的碎片,大家可以一起讨论,把碎片拼在一起,拼出完整的图。如果每个人都只知道自己的一部分,讨论就没什么用,拼图也拼不好。但如果每个人都带来不同的碎片,大家互相帮忙,拼图就能更快更好完成。这就像论文里的方法,把证据分成公共和私有两部分,让每个模型都拥有不同的线索,然后通过交流,大家一起变得更聪明,最终找到正确答案。这种合作方式可以用在很多复杂的问题上,让我们更快、更准地解决难题。
Glossary
Multi-Agent System (多智能体系统)
由多个自主智能体组成的系统,协同完成任务。技术上指多模型合作与信息交流机制。
论文中用来描述多个LLMs协作预测的框架。
Evidence Routing (证据路由)
根据相关性将证据分配到不同模型,确保信息多样性和沟通基础。
实现证据划分的关键步骤。
Rationale Sharing (推理共享)
模型在多轮交流中交换推理摘录,促进私有信号的传播。
增强模型间信息流通的重要机制。
Confidence-Weighted Aggregation (置信度加权融合)
在预测融合时,根据模型预测的极端程度加权,突出最有信息的模型。
提升集体预测准确性的关键方法。
Brier Score (布里尔分数)
衡量概率预测校准的指标,越低越好。
用作评估预测模型性能的主要指标。
Open Questions Unanswered questions from this research
- 1 在多模态、多源信息融合方面,如何保持信息多样性和交流效率仍未充分解决。未来需结合深度检索和多模态数据,提升系统鲁棒性。
- 2 在极端信息不平衡或噪声环境下,模型的误差相关性仍较高,需研究更强的抗干扰机制。
Abstract
Multi-agent systems are increasingly used for forecasting future events, as deliberation among multiple LLMs is believed to improve reasoning and calibration. Yet existing approaches overlook a critical design choice: what information each agent receives. When all agents are given identical evidence, deliberation collapses into herding rather than genuine belief revision, leaving multi-agent systems little better than a single agent. We identify this as a fundamental gap and propose designed information asymmetry to close it: by partitioning evidence into shared public and disjoint private subsets, each agent holds exclusive knowledge that can only reach others through deliberation. We theoretically show that this decomposition reduces inter-agent error correlation, and instantiate it in InfoDelphi, a framework combining relevance-aware evidence routing, rationale-based iterative deliberation, and confidence-weighted aggregation. On PolyGym, a benchmark of 375 binary forecasting questions derived from real-world prediction markets, InfoDelphi outperforms the strongest single-agent and multi-agent baselines by 12--18% in Brier score and 4--8 percentage points in accuracy. More detailed experiments confirm that removing information asymmetry eliminates most deliberation gains, establishing diversity of input as the key enabler of effective multi-agent reasoning.