Effect of space in the game “war of attrition”
Artikel i vetenskaplig tidskrift, 2012

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.

spatial

war of attrition

game theory

Författare

Philip Gerlee

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Torbjörn Lundh

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

1539-3755 (ISSN)

Vol. 85 4 Art. no. 041115- 041115

Ämneskategorier

Beräkningsmatematik

Biologiska vetenskaper

Fundament

Grundläggande vetenskaper

Styrkeområden

Livsvetenskaper och teknik

DOI

10.1103/PhysRevE.85.041115

Mer information

Skapat

2017-10-08