Judgment aggregation problems form a class of collective decision-making problems represented in an abstract way, subsuming some well known problems such as voting. A collective decision can be reached in many ways, but a direct one-step aggregation of individual decisions is arguably most studied. Another way to reach collective decisions is by iterative consensus building -- allowing each decision-maker to change their individual decision in response to the choices of the other agents until a consensus is reached. Iterative consensus building has so far only been studied for voting problems. Here we propose an iterative judgment aggregation algorithm, based on movements in an undirected graph, and we study for which instances it terminates with a consensus. We also compare the computational complexity of our iterative procedure with that of related judgment aggregation operators.
Masdar Institute of Science & Technology（马斯达尔科学技术学院）；Mahasarakham University（玛哈沙拉堪大学）；Universidad Nacional del Sur（南方国立大学）；University of Edinburgh（爱丁堡大学）；MIT（麻省理工学院）
Collective discrete optimisation as judgment aggregation
Heinrich-Heine-Universität Düsseldorf（海因里希·海涅杜塞尔多夫大学）；IRIT, University of Toulouse（图卢兹大学IRIT信息技术研究所）；CNRS（法国国家科学研究中心）；PSL（巴黎文理研究大学）；Centre d’Economie de la Sorbonne (CES), University of Paris 1 Panthéon-Sorbonne（索邦经济中心，巴黎第一大学先贤祠-索邦大学）
Consensus in Motion: A Case of Dynamic Rationality of Sequential Learning in Probability Aggregation
1 Department of Statistics, Ludwig-Maximilians-Universität München\ 2 School of Computing \& Communication, Lancaster University Leipzig \ 3 Munich Center for Mathematical Philosophy, Ludwig-Maximilians-Universität München Correspondence
An Iterative Utility Judgment Framework Inspired by Philosophical Relevance via LLMs
State Key Laboratory of AI Safety（人工智能安全国家重点实验室）；Institute of Computing Technology, Chinese Academy of Sciences（中国科学院计算技术研究所）；University of Chinese Academy of Sciences（中国科学院大学）
Probabilistic Aggregation and Targeted Embedding Optimization for Collective Moral Reasoning in Large Language Models
School of Computation, Information and Technology, Technical University of Munich（计算、信息与技术学院，慕尼黑技术大学）；School of Social Sciences and Technology, Technical University of Munich（社会科学与技术学院，慕尼黑技术大学）
