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Reduced normal forms are not extensive forms


Alos-Ferrer, Carlos; Ritzberger, Klaus (2020). Reduced normal forms are not extensive forms. Economic Theory Bulletin, 8(2):281-288.

Abstract

Fundamental results in the theory of extensive form games have singled out the reduced normal form as the key representation of a game in terms of strategic equivalence. In a precise sense, the reduced normal form contains all strategically relevant information. This note shows that a difficulty with the concept has been overlooked so far: given a reduced normal form alone, it may be impossible to reconstruct the game’s extensive form representation.

Abstract

Fundamental results in the theory of extensive form games have singled out the reduced normal form as the key representation of a game in terms of strategic equivalence. In a precise sense, the reduced normal form contains all strategically relevant information. This note shows that a difficulty with the concept has been overlooked so far: given a reduced normal form alone, it may be impossible to reconstruct the game’s extensive form representation.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:03 Faculty of Economics > Department of Economics
Dewey Decimal Classification:330 Economics
Uncontrolled Keywords:Reduced normal forms, extensive form games
Language:English
Date:1 October 2020
Deposited On:05 Aug 2020 15:05
Last Modified:14 Aug 2022 08:36
Publisher:Springer
ISSN:2196-1085
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/s40505-020-00183-8