Social Choice Foundations for Simulation-Augmented Generation

The paper introduces a formal framework for Simulation-Augmented Generation (SAGE), a method that simulates individual viewpoints to answer contentious queries more representatively. By applying the metric proportional justified representation+ (mPJR+) axiom from proportional clustering, the authors prove that only a small number of simulations (n ≪ n_H) and dynamic routing to an even smaller subset (k ≪ n) are sufficient to approximate proportional representation for a large population. Empirical results on political and personal advice domains show that their routing algorithm outperforms k‑means and random selection baselines in achieving higher mPJR+ satisfaction rates.

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