The small-world problem poses the question: “How many steps does it take to link any two people, selected at random?” A simulation model is built to examine this question, but focusing on the spatial side of the problem. Four aspects are investigated in detail: the general distribution of steps with parameter changes; channelling effects; the sensitivity of the overall structure to disconnection; and ghettoisation of an area. Some suggestions are made for further possible applications of the model.
Get full access to this article
View all access options for this article.
References
1.
De Sola PoolIKochenM, undated “A non-mathematical introduction to a mathematical model”The Massachusetts Institute of Technology, Cambridge, Mass
2.
GurevitchN, 1961“The social structure of acquaintanceship networks” PhD dissertation, The Massachusetts Institute of Technology, Cambridge, Mass
3.
HansonPMarblePPittsF, 1972“Individual movement and communication fields: A preliminary examination”Regional Science Perspectives180–93
4.
KorteCMilgramS, 1970“Acquaintance networks between racial groups: Application of the small world method”Journal of Personality and Social Psychology15101–108
5.
MilgramS, 1967“The small world problem”Psychology Today161–67
6.
MilgramS, 1968“Interdisciplinary thinking and the small world problem” in Interdisciplinary Relationships in the Social Sciences Eds SherifC WSherifMAldine, Chicago) pp 103–120
7.
MilgramSTraversJ, 1969“An experimental study of the small world problem”Sociometry32425–443
8.
OrleansP, 1973“Differential cognition of urban residents: Effects of spatial scale on mapping” in Image and Environment Eds DownsRSteaDEdward Arnold, London)
