https://doi.org/10.1140/epjb/e2009-00189-0
Promotion of cooperation on networks? The myopic best response case
1
Grupo Interdisciplinar de Sistemas Complejos (GISC), Departamento de
Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Madrid, Spain
2
Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, 28006 Madrid, Spain
3
Instituto de Biocomputación y Física de Sistemas
Complejos (BIFI), Universidad de Zaragoza, 50009 Zaragoza, Spain
Corresponding author: a anxo@math.uc3m.es
Received:
23
December
2008
Revised:
29
April
2009
Published online:
3
June
2009
We study the effect of a network of contacts on the emergence of cooperation on social dilemmas under myopic best response dynamics. We begin by summarizing the main features observed under less intellectually demanding dynamics, pointing out their most relevant general characteristics. Subsequently we focus on the new framework of best response. By means of an extensive numerical simulation program we show that, contrary to the rest of dynamics considered so far, best response is largely unaffected by the underlying network, which implies that, in most cases, no promotion of cooperation is found with this dynamics. We do find, however, nontrivial results differing from the well-mixed population in the case of coordination games on lattices, which we explain in terms of the formation of spatial clusters and the conditions for their advancement, subsequently discussing their relevance to other networks.
PACS: 89.65.-s – Social and economic systems / 87.23.Ge – Dynamics of social systems / 02.50.Le – Decision theory and game theory / 89.75.Fb – Structures and organization in complex systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009