Combined effect of the direction of information transmission and the spatiality over sustaining cooperation
Pages 2721 - 2724
Abstract
We propose an agent-based model to explore the joint effect of spatial distribution and the direction information transmission over cooperation's maintenance. Particularly, we study two information transmission modes: Horizontal (H) and Vertical (V) over fives spatial structures: grids 1D and 2D, Random Graphs, Small World Graphs, and Scale Free Networks. Our Results show that cooperation's dynamics for Vertical and Horizontal transmission are completely different. The effect over cooperation dynamics of Horizontal Transmission is not affected by the spatial distribution, while Vertical Transmission's effect is altered by spatiality. Particularly, cooperation dynamics are more sensible to Horizontal Transmission in Small World Graphs. Finally, looking at different Horizontal Transmission rates we found that for bigger rates the fewer cooperators survive.
References
[1]
R. Albert and A.-L. Barabasi. Statistical mechanics of complex networks. Reviews of Modern Physics, 74:47--97, 2002.
[2]
R. Axelrod and W. Hamilton. The evolution of cooperation. Science, 211(4489):1390--1396, 1981.
[3]
A.-L. Barabasi and R. Albert. Emergence of scaling in random networks. Science, 286:509--512, 1999.
[4]
R. Cipriani and K. Jaffe. On the dynamics of grouping. In Proceedings of the Fifth IASTED International Conference on Modelling, Simulation and Optimization, pages 56--60. Acta Press, 2005.
[5]
P. Erdös and A. Rényi. On random graphs, i. Publicationes Mathematicae (Debrecen), 6:290--297, 1959.
[6]
E. Fehr, U. Fischbacher, and S. Gächter. Strong reciprocity, human cooperation, and the enforcement of social norms. Human Nature, 13(1):1--25, 03 2002.
[7]
W. Hamilton. The genetic evolution of social behaviour. papers i and ii. Journal of Theoretical Biology, 7:1-16, 17--52, 1964.
[8]
W. Hamilton. Geometry for the selfish herd. Journal of Theoretical Biology, 31:295--311, 1971.
[9]
C. Hauert. Spatial effects in social dilemmas. Journal of Theoretical Biology, 240(4):627--636, June 2006.
[10]
K. Jaffe and R. Cipriani. Culture outsmarts nature in the evolution of cooperation. Journal of Artificial Societies and Social Simulation, 10(1), 01 2007.
[11]
R. Kurzban and D. Houser. Experiments investigating cooperative types in humans: A complement to evolutionary theory and simulations. PNAS, 102:1803--1807, 2005.
[12]
L. Lehmann. The evolution of cooperation and altruism -- a general framework and a classification of models. Journal of Evolutionary Biology, 19(5):1365--1376, 2006.
[13]
N. Masuda. Participation costs dismiss the advantage of heterogeneous networks in evolution of cooperation. PROC.R.SOC.B, 274:1815, 2007.
[14]
M.E.J. Newman. The structure and function of complex networks. SIAM Review, 45:58, 2003.
[15]
M. Nowak and K. Sigmund. The dynamics of indirect reciprocity. Journal of Theoretical Biology, 195:561--574, 1998.
[16]
M. Nowak and K. Sigmund. Evolutionary dynamics of biological games. Science, 303:793--799, 2004.
[17]
M. Nowak and K. Sigmund. Evolution of indirect reciprocity. Nature, 437:1291--1298, 2005.
[18]
M.A. Nowak and R.M. May. Evolutionary games and spatial chaos. Nature, 359(6398):826--829, 10 1992.
[19]
P. Richardson, J. Strassmann, and C. Hughes. Not by Genes Alone: How Culture Transformed Human Evolution. Chicago Univ. Press, 2004.
[20]
F.C. Santos and J.M. Pacheco. A new route to the evolution of cooperation. Journal of Evolutionary Biology, 19:726--733, May 2006.
[21]
R.L. Trivers. The evolution of reciprocal altruism. The Quarterly Review of Biology, 46(1):35--57, 1971.
[22]
D.J. Watts and S.H. Strogatz. Collective dynamics of 'small-world' networks. Nature, 393(6684):440--442, June 1998.
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Published: 08 July 2009
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