Eliminating Redundancies in Partition Spaces

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Redundancy in models of uncertainty is a non-trivial concept. We address this issue in the framework of partition spaces, introduced to game theory by Aumann (1976). In these models the uncertainty of agents is about a space of points, which are called states of the world. Each such state stands for a combination of physical, environmental parameters --- the state of nature, and possible mutual uncertainties of the agents over these parameters. These uncertainties are expressed by a partition each agent has over the states of the world: every partition member contains all those states the agent conceives as possible when one of them prevails.
Original languageAmerican English
Title of host publicationEpistemic Logic and the Theory of Games and Decisions
EditorsMichael Bacharach, Louis-André Gérard-Varet, Philippe Mongin, Hyun Song Shin
Place of PublicationBoston, MA
PublisherSpringer US
Number of pages9
ISBN (Print)978-1-4613-1139-3
StatePublished - 1997


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