The purpose of Carroll Mechanisms is to facilitate autonomous group sensemaking and reasoned decisionmaking by incentivizing participants to be transparent about their reasoning process, and to empower participants who are known to be capable of changing their minds. We envision Carroll Mechanisms to be built on top of a networked combinatorial LMSR foundation and thus to inherit the desriable properties of market scoring rules and automated market-makers. While we have made great strides during Fall 2025 in building out this foundation, several significant questions remain and several major new questions have arisen as a result of this work. The purpose of this document is to document the theoretical foundation, frame these questions clearly, and propose a research plan to address the questions.

翻译：卡罗尔机制旨在通过激励参与者公开其推理过程，并赋能那些已知具备改变观点能力的参与者，从而促进自主群体意义建构与理性决策。我们设想卡罗尔机制将构建于网络化组合型对数市场评分规则基础之上，从而继承市场评分规则与自动化做市商的优良特性。尽管我们在2025年秋季已在该基础构建方面取得重大进展，但仍存在若干关键问题亟待解决，且此项工作亦引发出若干新的重要问题。本文旨在系统阐述理论基础，清晰界定这些问题，并提出相应的研究计划以寻求解决方案。