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http://hdl.handle.net/11701/33706
Полная запись метаданных
Поле DC | Значение | Язык |
---|---|---|
dc.contributor.author | Tohmé, Fernando | - |
dc.contributor.author | Caterina, Gianluca | - |
dc.contributor.author | Gangle, Rocco | - |
dc.date.accessioned | 2021-11-29T20:55:49Z | - |
dc.date.available | 2021-11-29T20:55:49Z | - |
dc.date.issued | 2021-10 | - |
dc.identifier.citation | Tohmé F., Caterina G., Gangle R. A Categorical Characterization of a ①-Iteratively De ned State of Common Knowledge. Contributions to Game Theory and Management, XIV, 329-341. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu31.2021.24 | - |
dc.identifier.uri | http://hdl.handle.net/11701/33706 | - |
dc.description.abstract | We present here a novel approach to the analysis of common knowledge based on category theory. In particular, we model the global epistemic state for a given set of agents through a hierarchy of beliefs represented by a presheaf construction. Then, by employing the properties of a categorical monad, we prove the existence of a state, obtained in an iterative fashion, in which all agents acquire common knowledge of some underlying statement. In order to guarantee the existence of a fixed point under certain suitable conditions, we make use of the properties entailed by Sergeyev's numeral system called grossone, which allows a finer control on the relevant structure of the infinitely nested epistemic states. | en_GB |
dc.description.sponsorship | https://doi.org/10.21638/11701/spbu31.2021.24 | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Contributions to Game Theory and Management;Volume 14 | - |
dc.subject | common knowledge | en_GB |
dc.subject | category theory | en_GB |
dc.subject | grossone | en_GB |
dc.title | A Categorical Characterization of a ①-Iteratively De ned State of Common Knowledge | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | 2021 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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329-341.pdf | 549,62 kB | Adobe PDF | Просмотреть/Открыть |
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