arXiv:2605.13362cs.MAcs.AI2026-05被引 1

用度量空间构建可自洽演进的数字社区治理框架

Constitutional Governance in Metric Spaces

  • 将法律与宪法视为度量空间中的点,通过超多数决机制动态修订
  • 支持提案需连续两轮得分最高且为正,确保共识达成与稳定性
  • 适合追求去中心化治理的数字社群或组织,支持手机端运行

计算社会选择与算法决策理论虽有丰富的聚合理论,但缺乏从聚合、协商、修正到共识的完整闭环。本文提出‘度量空间中的宪法治理’,将法律与宪法均视为度量空间中的点,宪法规定修宪所需超多数阈值。成员投票提出理想点,经多轮提交具有超多数支持的公开提案;采用多项式时间聚合规则评分,连续两轮得分最高且为正的提案被采纳,否则维持现状。提案可来自协商、投票聚合或AI调解。通过宪法共识,社区可在个人设备(如手机)上运行该协议,实现数字主权。本框架整合度量空间聚合、现实感知社会选择、超多数修宪、宪法共识、协商联盟形成与AI调解,为数字社群与组织提供全面的宪法治理方案。

原文摘要 · Abstract (English)

Computational social choice and algorithmic decision theory offer rich aggregation theory but no end-to-end process for egalitarian self-governance: aggregation, deliberation, amendment, and consensus are each considered in isolation, with key metric-space aggregators being NP-hard. Here, we propose \emph{constitutional governance in metric spaces}, integrating these stages into a protocol for constitutional governance. A community's \emph{legal corpus} comprises its \emph{laws} together with a \emph{constitution}, each being a point in a metric space, with the constitution specifying the supermajority threshold required to amend it. Members vote to amend the legal corpus by proposing their ideal points, followed by rounds of submitting \emph{public proposals} carrying \emph{supermajority public support}; a polynomial-time \emph{aggregation rule} scores each proposal, and a supported proposal whose score is positive and maximal for two rounds is adopted; if none is found the status quo is retained. Public proposals can be sourced from deliberation, vote aggregation, or AI mediation. With Constitutional Consensus, a community can run the constitutional governance protocol on members' personal computing devices (e.g., smartphones), achieving digital sovereignty. By drawing on metric-space aggregation, reality-aware social choice, supermajority amendment, constitutional consensus, deliberative coalition formation, and AI mediation, we provide a comprehensive framework for the constitutional governance of digital communities and organisations.

治理机制度量空间数字主权宪法共识

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