Eliminating Redundancies in Partition Spaces

A. Heifetz

doi:10.1007/978-1-4613-1139-3_4

Eliminating Redundancies in Partition Spaces

A. Heifetz

Economics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	American English
Title of host publication	Epistemic Logic and the Theory of Games and Decisions
Editors	Michael Bacharach, Louis-André Gérard-Varet, Philippe Mongin, Hyun Song Shin
Place of Publication	Boston, MA
Publisher	Springer US
Pages	95-103
Number of pages	9
ISBN (Print)	978-1-4613-1139-3
DOIs	https://doi.org/10.1007/978-1-4613-1139-3_4
State	Published - 1997

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https://doi.org/10.1007/978-1-4613-1139-3_4

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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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AB - 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.

U2 - 10.1007/978-1-4613-1139-3_4

DO - 10.1007/978-1-4613-1139-3_4

M3 - Chapter

SN - 978-1-4613-1139-3

SP - 95

EP - 103

BT - Epistemic Logic and the Theory of Games and Decisions

A2 - Bacharach, Michael

A2 - Gérard-Varet, Louis-André

A2 - Mongin, Philippe

A2 - Shin, Hyun Song

PB - Springer US

CY - Boston, MA

ER -

Eliminating Redundancies in Partition Spaces

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