양자 선호도 스펙트럼 통합
이 논문은 위험 상황에서의 집단적 의사결정 시 발생하는 개인 간의 상이한 outcome distribution에 대한 관심을 quantile preferences로 모델링합니다. 연구의 핵심은 spectral social aggregation이 Pareto principle을 만족하기 위한 필요충분조건이 사회적 spectrum이 사회 구성원들이 나타내는 quantile levels에만 질량을 두는 것임을 증명하는 spectral support theorem입니다. 또한 rank-based axioms로부터 spectral aggregation을 도출하고, 특정 domain에서 representative-quantile reduction이 가능한 조건을 제시합니다.
arXiv:2606.30074v2 Announce Type: replace Abstract: Many collective decisions under risk are made by people who care about different parts of the outcome distribution: downside losses, typical performance, or upside gains. This paper models this disagreement with quantile preferences and studies how the represented quantile levels can be aggregated. Our main result is a spectral support theorem: a spectral social aggregation satisfies the Pareto principle if and only if its social spectrum puts mass only on quantile levels represented in society. Hence, Pareto consistency makes representative-quantile aggregation a dictatorial case. In addition, we derive spectral aggregation from rank-based axioms, develop finite and threshold-Pareto consequences, and show when local benchmark-affine and elliptical common-shape domains admit a representative-quantile reduction.