Abstract: Large language models (LLMs) increasingly operate in interactive and strategic settings such as negotiation, preference elicitation, evaluation, alignment, and multi-agent coordination. These settings are inherently incentive-driven, yet most existing approaches rely on heuristic designs with limited guarantees against manipulation or misalignment. This survey develops a unified, bidirectional view of the relationship between mechanism design and LLMs. We discuss (i) LLMs for mechanism design, where language models are used as strategic agent proxies, simulators, and natural-language interfaces for economic mechanisms, and (ii) mechanism design for LLMs, where incentive-aware principles are applied to LLM evaluation, alignment, and training. We conclude by identifying challenges in incentive-compatible evaluation, human-LLM interaction protocols, and emerging markets for LLM services.
Submission Type: Special issue on Statistics and AI
Submission Number: 9
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