Epistemic models of shallow depths and decision making in games: Horticulture

Epistemic models of shallow depths and decision making in games: Horticulture
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游戏中浅层认知模型和决策:园艺

DOI:
10.2178/jsl/1045861510
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发表时间:
2003
影响因子:
0.6
通讯作者:
Nobu
Nobu
中科院分区:
数学3区
文献类型:
--
作者:
M. Kaneko;Nobu

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摘要 Kaneko-Suzuki 开发了多个参与者的浅层认知逻辑,用于研究博弈论问题。所谓浅深度,是指公式中参与者的信念算子的嵌套出现受到给定认知结构的限制,通常是有限深度。在本文中,我们开发了认知世界模型的各种外科手术方法(剪切和粘贴)。一个例子是花束制作,即将多个模型绑成一束。另一个例子是将一个模型移植到另一个模型的某些分支上。通过这些方法,我们获得了关于认知逻辑的语义和句法的各种元定理。为了说明元定理的可能用途,我们提出了一个博弈论定理,它也是逻辑意义上的元定理。
Abstract Kaneko-Suzuki developed epistemic logics of shallow depths with multiple players for investigations of game theoretical problems. By shallow depth, we mean that nested occurrences of belief operators of players in formulae are restricted, typically to be of finite depths, by a given epistemic structure. In this paper, we develop various methods of surgical operations (cut and paste) of epistemic world models. An example is a bouquet-making, i.e., tying several models into a bouquet. Another example is to engraft a model to some branches of another model. By these methods, we obtain various meta-theorems on semantics and syntax on epistemic logics. To illustrate possible uses of our meta-theorems, we present one game theoretical theorem, which is also a meta-theorem in the sense of logic.
DOI: --
发表时间: 2007
期刊:
影响因子: --
作者:
M. Kaneko;N. -Y. Suzuki;N. -Y. Suzuki;Nobu-Yuki Suzuki;N. -Y. Suzuki;Nobu-Yuki Suzuki;N. -Y. Suzuki;Nobu-Yuki Suzuki;N. -Y. Suzuki;Nobu-Yuki Suzuki
通讯作者: Nobu-Yuki Suzuki