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Cyclic Games: An Introduction and Examples

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Author Info
Selten, Reinhard, and Myrna Holtz Wooders

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Abstract

We introduce a model of a cyclic game. Designed to take advatange of the recurring nature of certain economic and social situations, a cyclic game differs from an extensive form game in that a cyclic game does not necessarily have an end. The same situations, although with different players may be repeated infintely often. This feature makes a cyclic game essentially finite, although it may have an infinite number of players and may be unending. We provide an example showing that, even though a cyclic game has, in a sense, perfect information, it may not have an equilibrium in pure strategies. We also provide an existence of equilibrium theorem and illustrate the application of our model to an oligopolistic industry.

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Publisher Info
Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 334.

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Length: pages
Date of creation: Dec 1995
Date of revision:
Handle: RePEc:bon:bonsfb:334

Contact details of provider:
Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=517

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Related research
Keywords: Cyclic Games

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