Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/98534 
Authors: 
Year of Publication: 
2010
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 1 [Issue:] 3 [Publisher:] MDPI [Place:] Basel [Year:] 2010 [Pages:] 189-220
Publisher: 
MDPI, Basel
Abstract: 
We study 4 x 4 games for which the best response dynamics contain a cycle. We give examples in which multiple Shapley polygons occur for these kinds of games. We derive conditions under which Shapley polygons exist and conditions for the stability of these polygons. It turns out that there is a very strong connection between the stability of heteroclinic cycles for the replicator equation and Shapley polygons for the best response dynamics. It is also shown that chaotic behaviour can not occur in this kind of game.
Subjects: 
evolutionary game theory
Shapley polygon
best response dynamics
periodic solutions
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Appears in Collections:

Files in This Item:
File
Size
361.26 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.