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

Mamoru Kaneko, Nobu Yuki Suzuki

研究成果: Article

8 引用 (Scopus)

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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.

元の言語English
ページ(範囲)163-186
ページ数24
ジャーナルJournal of Symbolic Logic
68
発行部数1
出版物ステータスPublished - 2003 3
外部発表Yes

ASJC Scopus subject areas

  • Logic

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