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Göteborgs universitets publikationer

Effect of space in the game “war of attrition”

Författare och institution:
Philip Gerlee (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Torbjörn Lundh (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Physical Review E, 85 ( 4 ) s. Art. no. 041115
ISSN:
1539-3755
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2012
Språk:
engelska
Fulltextlänk:
Fulltextlänk (lokalt arkiv):
Sammanfattning (abstract):
Spatial dynamics has in many cases been invoked as a mechanism that can promote the evolution of coexistence and cooperation, although the precise conditions for this to occur have not yet been characterised. In an effort to address this question we have analyzed an alternative version of the theoretical game “war of attrition,” which exhibits unusual behavior: The well-mixed system exhibits quasistationary coexistence and a relaxation time that scales exponentially with the system size, while the spatial system shows a relaxation time that is considerably smaller and scales with a power α≈1.4 of the system size. Further, the spatial system exhibits a first-order phase transition in the strategy distribution at a consolation prize of k≈1/3. Close to this point the relaxation time diverges with an exponent γ≈1.2. This analysis shows that the effect of space is highly dependent on the type of game considered.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik ->
Beräkningsmatematik ->
Tillämpad matematik
NATURVETENSKAP ->
Biologiska vetenskaper
Nyckelord:
game theory, war of attrition, spatial
Chalmers styrkeområden:
Livsvetenskaper
Chalmers fundament:
Grundläggande vetenskaper
Postens nummer:
157019
Posten skapad:
2012-04-25 14:27
Posten ändrad:
2016-06-30 09:03

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