Abstract
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.
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Heifetz, A. (1997). Eliminating Redundancies in Partition Spaces. In: Bacharach, M., Gérard-Varet, LA., Mongin, P., Shin, H.S. (eds) Epistemic Logic and the Theory of Games and Decisions. Theory and Decision Library, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1139-3_4
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DOI: https://doi.org/10.1007/978-1-4613-1139-3_4
Publisher Name: Springer, Boston, MA
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