 Knowledge GamesHans van Ditmarsch Bulletin of Economic Research, 2001, vol. 53, issue 4, 249-73 Abstract: The subject of epistemic logic is firmly entrenched in game theory, including the analysis of common knowledge and of public announcements, such as in "hat problems". How to analyse communications to subgroups of the public, and the effects of such common knowledge of a subgroup on the information state of a larger group, has only recently come into fruition. Knowledge games are introduced to provide a comfortably concrete vehicle for the study of such interactions. This paper introduces the concepts of knowledge game, deal of cards, knowledge game state, game action, and action execution. A deal of cards is a function from cards to players. A knowledge game state is represented by a pointed multiagent S5 model on the set of card deals where all players hold the same number of cards as in the actual deal. A game action combines a question with an answer, and is represented by a pointed multiagent S5 frame on the set of possible answers. The execution of a game action in a knowledge game state corresponds to the computation of a pointed multiagent S5 model that is a restriction of the direct product of the corresponding action frame and game model. Copyright 2001 by Blackwell Publishing Ltd and the Board of Trustees of the Bulletin of Economic Research Date: 2001 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:bla:buecrs:v:53:y:2001:i:4:p:249-73 Ordering information: This journal article can be ordered from Access Statistics for this article More articles in Bulletin of Economic Research from Wiley Blackwell |
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