BID-SPO: Rethinking Multi-Agent Prompt Optimization as Information Contracting via Bidding-based Shapley Values

Weiqiang Jin, Yuxin Cheng, Tingting Sun, Shixiang Tang, Jing Gao, Jinhu Qi, Wentao Zhang, Junli Wang, Biao Zhao, Guoshuai Zhao, Guang Yang


Abstract
Multi-agent LLM systems decompose complex tasks across specialist agents, yet joint prompt optimization remains difficult because agents are coupled through structured information handoffs. We identify interface mismatch as a structural failure mode that existing optimizers cannot diagnose: their scalar attribution signals conflate reasoning quality with format incompatibility, and the inter-agent contract is left entirely implicit. We propose BID-SPO (Bidding-based Shapley Prompt Optimization), which makes the inter-agent contract an explicit optimization variable. Each agent declares an Output Bid and an Input Demand, and a contract-aware cooperative-game characteristic function yields an attribution signal whose Shapley decomposition exposes three interpretable dimensions (global task contribution, downstream interface alignment, and upstream adaptation cost), turning attribution into a targeted diagnosis for prompt repair. A bid-conformance constraint keeps declared contracts feasible with respect to actual agent behavior throughout optimization. Across seven benchmarks and different model configurations, BID-SPO outperforms MASPO and AgentDropout, with accuracy gains of +2.93% under the Qwen3-8B + Gemini-2.5-pro configuration and +4.38% under the DeepSeek-v4 flash / pro configuration. Our findings emphasize that reliable multi-agent LLM optimization requires optimizing inter-agent interfaces as explicit objects, not just improving agents in isolation.
Anthology ID:
2026.findings-emnlp.239
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
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SIGDAT
Publisher:
Association for Computational Linguistics
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Pages:
5029–5060
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URL:
https://aclanthology.org/2026.findings-emnlp.239/
DOI:
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Cite (ACL):
Weiqiang Jin, Yuxin Cheng, Tingting Sun, Shixiang Tang, Jing Gao, Jinhu Qi, Wentao Zhang, Junli Wang, Biao Zhao, Guoshuai Zhao, and Guang Yang. 2026. BID-SPO: Rethinking Multi-Agent Prompt Optimization as Information Contracting via Bidding-based Shapley Values. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 5029–5060, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
BID-SPO: Rethinking Multi-Agent Prompt Optimization as Information Contracting via Bidding-based Shapley Values (Jin et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.239.pdf