摘要翻译:
我们定义了标准Kripke模型的一个改进,称为有序Kripke模型,通过在每个状态的可访问状态集上引入线性顺序。我们首先证明了该模型可以用来描述认知博弈论中的词典信念层次结构,并且在该模型中可以刻画出完美的合理性。然后,我们证明了每一个有序Kripke模型都是一系列标准概率Kripke模型的极限,这些标准概率Kripke模型具有一个修正的(公共)信念算子,在结构和它们所表征的(ε-)允许度的意义上。
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英文标题:
《Ordered Kripke Model, Permissibility, and Convergence of Probabilistic
Kripke Model》
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作者:
Shuige Liu
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最新提交年份:
2018
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分类信息:
一级分类:Economics 经济学
二级分类:Econometrics 计量经济学
分类描述:Econometric Theory, Micro-Econometrics, Macro-Econometrics, Empirical Content of Economic Relations discovered via New Methods, Methodological Aspects of the Application of Statistical Inference to Economic Data.
计量经济学理论,微观计量经济学,宏观计量经济学,通过新方法发现的经济关系的实证内容,统计推论应用于经济数据的方法论方面。
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英文摘要:
We define a modification of the standard Kripke model, called the ordered Kripke model, by introducing a linear order on the set of accessible states of each state. We first show this model can be used to describe the lexicographic belief hierarchy in epistemic game theory, and perfect rationalizability can be characterized within this model. Then we show that each ordered Kripke model is the limit of a sequence of standard probabilistic Kripke models with a modified (common) belief operator, in the senses of structure and the (epsilon-)permissibilities characterized within them.
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PDF链接:
https://arxiv.org/pdf/1801.08767


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