Minimal belief change, Pareto-optimality and logical consequence
Minimal belief change, Pareto-optimality and logical consequence
复制标题
最小信念改变、帕累托最优和逻辑结果
DOI：
10.1007/s001990100194
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发表时间：
2002
期刊：
影响因子：
1.3
通讯作者：
O. Schulte
中科院分区：
文献类型：
--
作者：
O. Schulte
概括。理性的代理人会根据新信息改变自己的信念；一个广泛持有的观点是，这种信念的改变应该是最小的。本文是对最小信念修正理论的概述。我采用决策理论框架来比较最小信念修正的各种原则。涵盖的主要主题包括年度股东大会关于信念修正的假设、信念收缩、格罗夫表示定理、条件公理以及最小信念变化与形式逻辑中的问题之间的联系。我描述了在什么条件下信念修正函数与列维恒等式一致，以及在什么条件下信念收缩函数与哈珀恒等式一致。
Summary. A rational agent changes her beliefs in response to new information; a widely held idea is that such belief changes should be minimal. This paper is an overview of the theory of minimal belief revision. I employ a decision-theoretic framework to compare various principles for minimal belief revision. The main topics covered include the AGM postulates for belief revision, belief contraction, Grove's representation theorem, axioms for conditionals, and the connections between minimal belief change and questions in formal logic. I characterize under what conditions belief revision functions are consistent with the Levi Identity, and under what conditions belief contraction functions are consistent with the Harper Identity.