Coordination Games on Directed Graphs
We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of determining their existence is NP-complete. The same holds for strong...
| Published in: | Electronic Proceedings in Theoretical Computer Science |
|---|---|
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2016-06-01
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| Online Access: | http://arxiv.org/pdf/1606.07517v1 |
| _version_ | 1856908610919989248 |
|---|---|
| author | Krzysztof R. Apt Sunil Simon Dominik Wojtczak |
| author_facet | Krzysztof R. Apt Sunil Simon Dominik Wojtczak |
| author_sort | Krzysztof R. Apt |
| collection | DOAJ |
| container_title | Electronic Proceedings in Theoretical Computer Science |
| description | We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of determining their existence is NP-complete. The same holds for strong equilibria. We also exhibit some classes of games for which strong equilibria exist and prove that a strong equilibrium can then be found in linear time. |
| format | Article |
| id | doaj-art-2cff6bb1aeb84ea7bfb59f06abdd0c19 |
| institution | Directory of Open Access Journals |
| issn | 2075-2180 |
| language | English |
| publishDate | 2016-06-01 |
| publisher | Open Publishing Association |
| record_format | Article |
| spelling | doaj-art-2cff6bb1aeb84ea7bfb59f06abdd0c192025-08-19T20:21:28ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802016-06-01215Proc. TARK 2015678010.4204/EPTCS.215.6:50Coordination Games on Directed GraphsKrzysztof R. Apt0Sunil Simon1Dominik Wojtczak2 Centrum Wiskunde and Informatica, Amsterdam, The Netherlands Department of CSE, IIT Kanpur, Kanpur, India University of Liverpool, Liverpool, U.K. We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of determining their existence is NP-complete. The same holds for strong equilibria. We also exhibit some classes of games for which strong equilibria exist and prove that a strong equilibrium can then be found in linear time.http://arxiv.org/pdf/1606.07517v1 |
| spellingShingle | Krzysztof R. Apt Sunil Simon Dominik Wojtczak Coordination Games on Directed Graphs |
| title | Coordination Games on Directed Graphs |
| title_full | Coordination Games on Directed Graphs |
| title_fullStr | Coordination Games on Directed Graphs |
| title_full_unstemmed | Coordination Games on Directed Graphs |
| title_short | Coordination Games on Directed Graphs |
| title_sort | coordination games on directed graphs |
| url | http://arxiv.org/pdf/1606.07517v1 |
| work_keys_str_mv | AT krzysztofrapt coordinationgamesondirectedgraphs AT sunilsimon coordinationgamesondirectedgraphs AT dominikwojtczak coordinationgamesondirectedgraphs |