Could math borrowed from voting systems fairly combine what different stakeholders want from an AI?
Can social choice theory mathematically represent stakeholder preferences in AI?
This explores whether the formal math of voting and preference aggregation (social choice theory) can capture what many different stakeholders want from an AI system. The corpus has little on the formal theory itself, but a lot on whether 'adding up preferences' is the right approach in the first place.
This explores whether the formal math of voting and preference aggregation (social choice theory) can capture what many different stakeholders want from an AI system. One thing first: the collection doesn't cover the formal theory directly. There's nothing here on impossibility theorems or voting rules applied to alignment. What it does have is a set of notes that test the idea from the sides. Together they suggest the harder problem isn't the math of aggregation. It's whether preferences are the right thing to aggregate at all.
Aggregation is already common in practice, and at a basic level it works. Chatbot Arena ranks language models by pooling hundreds of thousands of crowdsourced head-to-head votes, and those crowd rankings line up with expert judgment Can crowdsourced votes reliably rank language models?. Models can even improve themselves by holding a majority vote among their own answers and treating the consensus as a reward Can models improve themselves using only majority voting?. Both are social choice in miniature. But both work in areas where there's roughly a 'better' answer to converge on. Stakeholder values are different: people disagree legitimately, and nobody is simply wrong.
That's where the strongest challenge in the corpus comes in. One line of argument holds that 'preferentialist' alignment fails for three reasons. Preferences are too thin to capture rich moral values. Averaging everyone uniformly can silence minority perspectives, a kind of unfairness about whose knowledge counts. And optimizing for preferences pulls AI away from the norms of the role it's actually playing Should AI alignment target preferences or social role norms?. The alternative it proposes is contractualist: stakeholders negotiate norms suited to the role, at organizational, national, and individual levels. A related argument says that once AI serves many parties at once, alignment has to move past loyalty to a single user. It should be judged on inclusivity, visibility (transparent tracking of what the AI does), and clear liability for the developers and deployers behind it Should AI agents serve one user or balance many interests?. Read together, these notes reframe the question: aggregating preferences may be a governance problem more than a mathematical one.
There's also a quieter problem underneath: even before you aggregate, the individual inputs can be wrong. In a small study, people who co-designed AI agents to represent their preferences felt well represented. Independent checks found the agents were more generic than the people themselves and only partly aligned with them. The co-design process produced the feeling of being represented Does co-design participation hide misalignment in preference agents?. Any social choice scheme that collects stakeholder input through AI proxies inherits that gap. And on the strategic side, when stakeholders are themselves represented by LLM agents, those agents often miss the game-theoretic optimum unless they're given structured reasoning steps Do language models make rational strategic decisions in games?.
Here's what you might not have expected to want to know. GPT-4.5 predicts what people consider socially appropriate better than any individual human does. Yet it can't take part in the community processes that create and legitimize those norms Can AI predict social norms better than humans?. So AI could become an excellent tool for modeling what stakeholders want, while legitimacy, meaning the reason people accept an aggregate as fair, still has to come from humans deliberating. If you want the formal social choice math itself, look outside this collection. The useful counterpoint here is to ask whose voices get averaged, and who agreed to the rules.
Sources 7 notes
Chatbot Arena's 240K+ crowdsourced preference votes produce credible model rankings because the underlying questions are diverse and discriminating, and crowd judgments correlate with expert raters—validating human preference as a scalable evaluation signal.
Test-Time RL generates reward signals by majority voting across repeated samples, enabling policy improvement without ground-truth labels or trained reward models. This approach works surprisingly well because consensus answers tend to be correct, creating a bootstrapping loop where test-time compute enables training that improves the model.
Preferentialist alignment approaches fail because preferences don't capture thick moral values, uniform aggregation produces epistemic injustice, and preference optimization creates systematic misalignment with social roles. Contractualist alignment negotiated by stakeholders and bounded by supra-national, organizational, and individual levels works better.
Research argues the traditional single-agent-single-user alignment framing is insufficient at scale. Instead, governance should rest on inclusivity (balancing diverse interests), visibility (rigorous tracking and transparency), and liability (developer and deployer accountability for harms).
In a 12-person study, participants felt their co-designed preference agents represented them well, but independent validation revealed mixed alignment and agents that were more generic and abstract than human responses. The co-design process itself—through transparency, limited testing, and cognitive biases—appears to have produced the feeling of alignment rather than ensuring actual alignment.
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LLMs frequently fail to compute Nash equilibria, with worse performance as game complexity increases. Structured game-theoretic workflows guide reasoning toward optimal strategies, reducing exploitability and enabling near-optimal negotiation outcomes.
GPT-4.5 outperforms all individual humans at predicting social appropriateness, yet structurally cannot enter the community processes that establish and validate norms. This reveals a critical gap between pattern-matching and authentic participation in knowledge-making.
Papers this line draws on 8
The research behind the notes this line reads — ranked by how closely each paper relates.
- Beyond Preferences in AI Alignment
- Governing AI Agents
- Position: Towards Bidirectional Human-AI Alignment
- HumanAgencyBench: Scalable Evaluation of Human Agency Support in AI Assistants
- Worse Together: How Performance Breaks Down in Multi-User Multi-Agent Teams
- Privacy Leakage Overshadowed by Views of AI: A Study on Human Oversight of Privacy in Language Model Agent
- Game-theoretic LLM: Agent Workflow for Negotiation Games
- AI Models Exceed Individual Human Accuracy in Predicting Everyday Social Norms