Spread of two linked social norms on complex interaction networks

Journal of Theoretical Biology

Volumn 230, Issue 1, 2004, Pages 57-64

  Nakamaru, Mayuko ^a   Levin, Simon A ^b  

^a SHIZUOKA UNIVERSITY   (Japan)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

Individual learning; Lattice model; Power law network; Small world network; Social learning; Social network; Social norm

Indexed keywords

LEARNING; SOCIAL BEHAVIOR; THEORETICAL STUDY;

ARTICLE; BEHAVIOR; CULTURAL ANTHROPOLOGY; DYNAMICS; HUMAN; LEARNING; POISSON DISTRIBUTION; PRIORITY JOURNAL; SOCIAL ASPECT; SOCIAL INTERACTION; SOCIAL LEARNING; SOCIAL STRUCTURE;

COMPUTER SIMULATION; HUMANS; INTERPERSONAL RELATIONS; LEARNING; MODELS, PSYCHOLOGICAL; SOCIAL CONFORMITY;

EID: 3242724096     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2004.04.028     Document Type: Article

References (35)

1. Albert R., Barabasi A. Statistical mechanics of complex networks. Rev. Mod. Phys. 74:2002;47-97
2. Amaral L.A.N., Scala A., Barthelemy M., Stanley E. Classes of small-world networks. Proc. Natl Acad. Sci. USA. 97:2000;11149-11152
3. Aoki K. Theoretical and empirical aspects of gene-culture coevolution. Theor. Popul. Biol. 59:2001;253-261
4. Axelrod R. The Complexity of Cooperation. 1997;Princeton University Press, Princeton
5. Axelrod R., Cohen M.D. Harnessing Complexity. 2000;Basic Books, New York
6. Barabasi A., Albert R. Emergence of scaling in random networks. Science. 286:1999;509-512
7. Bicchieri C. Learning to cooperation. Bicchieri C., Jeffrey R., Skyrms B. The Dynamics of Norms. 1997;Cambridge University Press, Cambridge
8. Bollobas B. Random Graphs. 1985;Academic Press, London
9. Boots M., Sasaki A. Small worlds and the evolution of virulence. infection occurs locally and at a distance Proc. R. Soc. London B. 266:2001;1933-1938
10. Boyd R., Richerson P.J. Culture and the Evolutionary Process. 1985;University of Chicago Press, Chicago
11. Bramson M., Cox J.T., Durrett R. Spatial models for species-area curves. Ann. Probab. 24:1996;1727-1751
12. Bramson M., Cox J.T., Durrett R. A spatial model for the abundance of species. Ann. Probab. 26:1998;658-709
13. Carlson, R.O., 1965. Adoption of educational innovations. Eugene, University of Oregon, Center for the advanced study of educational administration.
14. Cavalli-Sforza L.L., Feldman M.W. Cultural Transmission and Evolution. A Quantitative Approach:1981;Princeton University Press, Princeton
15. Changizi M.A., McDannald M.A., Widders D. Scaling of differentiation in networks. nervous systems, organisms, ant colonies, ecosystems, businesses, universities, cities, electronic circuits, and legos J. Theor. Biol. 218:2002;215-237
16. Diamond J. Guns, Germs, and Steel. 1997;Norton, New York
17. Durrett R. Stochastic spatial models. SIAM Rev. 41:1999;677-718
18. Durrett R., Levin S.A. Spatial models for species-area curves. J. Theor. Biol. 179:1996;119-127
19. Durrett, R., Levin, S.A., 2004. Can stable social groups be maintained by homophilous imitation alone? Journal of Economic Behavior and Organization.
20. Ellner S.P. Pair approximation for lattice models with multiple interaction scales. J. Theor. Biol. 210:2001;435-447
21. Erdos P., Renyi A. Publ. Math. Inst. Hungar. Acad. Sci. 5:1960;17
22. Friedkin N. A test of structural features of Granovetter's strength of weak ties theory. Social Networks. 2:1980;411-422
23. Granovetter M.S. Getting a Job. 1973;Harvard University Press, Cambridge
24. Hethcote H.W., Yorke J.A. Gonorrhea Transmission Dynamics and Control. 1984;Springer, Berlin
25. Klovdahl A.S. Social networks and the spread of infectious diseases. the AIDS example Soc. Sci. Med. 21:1985;1203-1216
26. Liljeros F., Edling C.R., Amaral L.A.N., Stanley H.E., Aberg Y. The web of human sexual contacts. Nature. 411:2001;907-908
27. May R.M., Lloyd A.L. Infection dynamics on scale-free networks. Phys. Rev. E. 64:2001;066112
28. Pastor-Satorras R., Vespignani A.V. Epidemic dynamics and endemic states in complex networks. Phys. Rev. E. 63:2001;066117
29. Pastor-Satorras R., Vespignani A.V. Epidemic spreading in scale-free networks. Phys. Rev. Lett. 86:2001;3200-3203
30. Rogers E.M. Diffusion of Innovations. 4th Edition:1995;Free Press, New York
31. Strogatz S.H. Exploring complex networks. Nature. 410:2001;268-276
32. Wasserman S., Faust K. Social Network Analysis. Methods and Applications:1994;Cambridge University Press, New York
33. Watts D.J. Small Worlds. 1999;Princeton University Press, Princeton
34. Watts D.J., Strogatz S.H. Collective dynamics of small-world networks. Nature. 393:1998;440-442
35. Watts D.J., Dodds P.S., Newman M.E.J. Identity and search in social networks. Science. 296:2002;1302-1305