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Games in Dynamic Epistemic Logic
Abstract
The author discusses games of both perfect and imperfect information at two levels of structural detail: players’ local actions, and their global powers for determining outcomes of the game. Matching logical languages are proposed for both. In particular, at the ‘action level’, imperfect information games naturally model a combined ‘dynamic‐epistemic language’– and correspondences are found between special axioms in this language and particular modes of playing games with their information dynamics. At the ‘outcome level’, the paper presents suitable notions of game equivalence, and some simple representation results.
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“Knowledge action interchanges presuppose abilities of agents such as Perfect Recall (Halpern & Vardi 1989, van Benthem 2001).”
From THE STORIES OF LOGIC AND INFORMATION (2008) · cites this paper as van Benthem 2001
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THE STORIES OF LOGIC AND INFORMATION
van Benthem, J., & Martinez, M. (2008) · Philosophy of Information · doi:10.1016/b978-0-444-51726-5.50012-1 · Cited by 80
Diversity of Logical Agents in Games
Benthem, J. V., & Liu, F. (2004) · Philosophia Scientiae · doi:10.4000/philosophiascientiae.571 · Cited by 46
Self-citation
Metadata
- Authors
- Van Benthem, J.
- Affiliations
- University of Amsterdam (NL)
- Corresponding author
- Van Benthem, Johan
- ORCID
- Van Benthem, Johan
- Venue
- Bulletin of Economic Research
- Publisher
- Wiley
- Published
- 2001-10
- Volume
- 53
- Issue
- 4
- Pages
- 219-248
- ISSN
- 0307-3378 (ISSN-L)
- 1467-8586
- OpenAlex
- W2136794369
- Cited by
- 181
- References
- 0
- Citations by year
- 2025: 3 · 2024: 2 · 2023: 2 · 2022: 3 · 2021: 7 · 2020: 12 · 2019: 6 · 2018: 9 · 2017: 8 · 2016: 1 · 2015: 4 · 2014: 12 · 2013: 7 · 2012: 5
- FWCI
- 6.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Bulletin of Economic Research (publishedVersion)
- UvA-DARE (University of Amsterdam) (publishedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Logic, Reasoning, and Knowledge
- Social Sciences › Decision Sciences › Management Science and Operations Research › Game Theory and Applications
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Topology and Set Theory
- Keywords
- dynamic epistemic logic, games, imperfect information, perfect information, information dynamics, game equivalence, axioms
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