Epistemic logics and their game theoretic applications: Introduction

Epistemic logics and their game theoretic applications: Introduction
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认知逻辑及其博弈论应用:简介

DOI:
10.1007/s001990100202
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发表时间:
2002
期刊:
影响因子:
1.3
通讯作者:
M. Kaneko
M. Kaneko
中科院分区:
经济学3区
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--
作者:
M. Kaneko

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摘要这篇论文是作为一个介绍认知逻辑和他们的博弈论应用。它从经典逻辑的语义和句法两个方面入手,到认知逻辑的希尔伯特式证明理论和克里普克式模型理论。在这些理论中,我们讨论了一些简单的游戏例子中的个人决策。特别是,我们将讨论信念和知识之间的区别,以及错误信念如何在博弈论决策中发挥作用。最后,我们讨论扩展认知逻辑,将共同的知识。在扩展中,我们还讨论了关于共同知识的错误信念。
Summary. This paper is written as an introduction to epistemic logics and their game theoretic applications. It starts with both semantics and syntax of classical logic, and goes to the Hilbert-style proof-theory and Kripke-style model theory of epistemic logics. In these theories, we discuss individual decision making in some simple game examples. In particular, we will discuss the distinction between beliefs and knowledge, and how false beliefs play roles in game theoretic decision making. Finally, we discuss extensions of epistemic logics to incorporate common knowledge. In the extension, we discuss also false beliefs on common knowledge.
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