How Social Network Structure Affects the Dynamics of Evolution of Cooperation?
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33087
How Social Network Structure Affects the Dynamics of Evolution of Cooperation?

Authors: Mohammad Akbarpour, Reza Nasiri Mahalati, Caro Lucas

Abstract:

The existence of many biological systems, especially human societies, is based on cooperative behavior [1, 2]. If natural selection favors selfish individuals, then what mechanism is at work that we see so many cooperative behaviors? One answer is the effect of network structure. On a graph, cooperators can evolve by forming network bunches [2, 3, 4]. In a research, Ohtsuki et al used the idea of iterated prisoners- dilemma on a graph to model an evolutionary game. They showed that the average number of neighbors plays an important role in determining whether cooperation is the ESS of the system or not [3]. In this paper, we are going to study the dynamics of evolution of cooperation in a social network. We show that during evolution, the ratio of cooperators among individuals with fewer neighbors to cooperators among other individuals is greater than unity. The extent to which the fitness function depends on the payoff of the game determines this ratio.

Keywords: Evolution of cooperation, Iterated prisoner's dilemma, Model dynamics, Social network structure, Intensity of selection.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334904

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1354

References:


[1] Giddens, A.: Sociology. 5th edn. Polity Press (2006).
[2] Nowak, A.: Five Rules for the Evolution of Cooperation. Science. Vo304. (2006) 1560-1563.
[3] Ohtsuki, H., Hauert, C., Lieberman, E., Nowak, M.A.: A simple rule for the evolution of cooperation on graphs and social networks. Nature 441, (2006).
[4] Ohtsuki, H., Nowak, M.A., Evolutionary stability on graphs. J. Theor. Biol. (2008), doi:10.1016/j.jtbi.2008.01.005.
[5] Dawkins, R.: The God Delusion. 1st edn. Bantam Press (2006).
[6] Dawkins, R.: The Selfish Gene. 2nd edn. Oxford University Press (1990).
[7] Henrich, J., Henrich, N.: Culture, evolution and the puzzle of human cooperation. Cognitive Systems Research 7 (2006) 220-245.
[8] Fehr, E., Fischbacher, U.: Social norms and human cooperation. TRENDS in Cognitive Sciences Vol.8 No.4 (2004) 185-190.
[9] Osborne, M.J.: An introduction into game theory. 1st edn. Oxford University Press (2003).
[10] Imhof, L.A., Fudenberg, D., Nowak, M.A.: Tit-for-tat or win-stay, loseshift?. J. Theor. Biol. 247 (2007) 574-580.
[11] Pacheco, J.M., Traulsen, A., Ohtsuki, H., Nowak, M.A.: Repeated games and direct reciprocity under active linking. Preprint submitted to Elsevier Science (2007).
[12] Rafipour F.: the Anatomy of Society: An Introduction to Applied Sociology. Enteshar Co (2006).