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arXiv 2608.00321cs.AI

三种表征策略下的信任及其背叛

Trust and Its Betrayal under Three Representational Strategies

Mihnea C. Moldoveanu, Joel A. C. Baum

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中文总结 AI 辅助

该研究将信任视为虚拟认知状态,构建三种表征并探究其对Brandenburger-Keisler不可能性的影响,发现不同表征遭遇背叛时的存续方式存在显著差异。

中文摘要 AI 辅助

信任是一种特殊的命题态度:信任是在可能遭遇失望的情况下依赖他人,而信任的失望——即背叛——在性质上不同于预测的失望。我们将信任视为一种虚拟认知状态:当主体A相信“若P为真,则B会知晓”时,A信任B的能力;当A相信“若B知晓P,则B会向A披露”时,A信任B的诚信。我们为该状态构建三种表征:词典式假设、Lewis-Stalnaker球系统中的序数接近度,以及条件概率系统中的强信念。针对每种表征,我们探究当用信任假设替代理性假设时,Brandenburger-Keisler关于共同信念的不可能性是否依然成立。三种表征一致认为,每一种有限深度的共同信任都是可实现的,而完整的共同信任不动点是困难的根源,但它们在困难的表现方式上存在显著差异——这也是我们的核心发现:每种表征在遭遇具体背叛时的存续方式各不相同。我们表明,同一背叛会推翻词典式表征下主体的层级排序,按背叛者的蓄意程度污染序数表征下的接近度排序,而在强信念表征下,仅会改变主体的有效条件假设,同时保持其信念结构的一致性。

英文摘要

Trust is a propositional attitude of a distinctive kind: to trust is to rely on another under conditions where reliance could be disappointed, and the disappointment of trust---betrayal---differs qualitatively from the disappointment of a prediction. We treat trust as a \emph{subjunctive} epistemic state: $A$ trusts $B$'s competence when $A$ believes that \emph{were $P$ true, $B$ would know it}, and $B$'s integrity when $A$ believes that \emph{were $B$ to know $P$, he would disclose it to $A$}. We develop three representations of this state---as lexicographic \emph{assumption} as \emph{ordinal closeness} in a Lewis--Stalnaker sphere system , and as \emph{strong belief} in a conditional probability system and for each we ask whether the Brandenburger--Keisler impossibility on common belief survives when the assumption of rationality is replaced by an assumption of trustworthiness. The three representations agree that every \emph{finite} depth of common trust is realizable while the \emph{completed} common-trust fixed point is the locus of difficulty, but they differ sharply in \emph{how} the difficulty manifests, and---our organizing finding---in how each survives a concrete betrayal. W show that the same betrayal refutes an agent's \emph{level ordering} under the lexicographic representation, contaminates her \emph{closeness ordering} in proportion to the betrayer's deliberateness under the ordinal representation, and merely \emph{shifts her operative conditioning hypothesis} while leaving her belief structure coherent under the strong-belief representation.

发表机构

  • Rotman School of Management, University of Toronto(多伦多大学罗特曼管理学院)

机构由 AI 辅助整理,请以论文原文为准。

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