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Erschienen in: Theory and Decision 4/2015

01.04.2015

A classification of weakly acyclic games

verfasst von: Krzysztof R. Apt, Sunil Simon

Erschienen in: Theory and Decision | Ausgabe 4/2015

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Abstract

Weakly acyclic games form a natural generalization of the class of games that have the finite improvement property (FIP). In such games one stipulates that from any initial joint strategy some finite improvement path exists. We classify weakly acyclic games using the concept of a scheduler introduced in Simon and Apt (Choosing products in social networks, 2012). We also show that finite games that can be solved by the iterated elimination of never best response strategies are weakly acyclic. Finally, we explain how the schedulers allow us to improve the bounds on finding a Nash equilibrium in a weakly acyclic game.

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Metadaten
Titel
A classification of weakly acyclic games
verfasst von
Krzysztof R. Apt
Sunil Simon
Publikationsdatum
01.04.2015
Verlag
Springer US
Erschienen in
Theory and Decision / Ausgabe 4/2015
Print ISSN: 0040-5833
Elektronische ISSN: 1573-7187
DOI
https://doi.org/10.1007/s11238-014-9436-1

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