A Simple Model of Stability in Critical Mass Dynamics
Name
10955_2012_679_ReferencePDF.pdf
Size
457.8 KB
Format
Adobe PDF
Checksum (MD5)
9c220c9841e36fae927c866b3982964b
Author(s)
Centola, Damon
Date Issued
January 2013
Journal
Journal of Statistical Physics
Publisher
Springer US
Citation
Centola, Damon. “A Simple Model of Stability in Critical Mass Dynamics.” J Stat Phys 151, no. 1–2 (January 5, 2013): 238–253.
Version
Author's final manuscript
Abstract
Collective behaviors often spread via the self-reinforcing dynamics of critical mass. In collective behaviors with strongly self-reinforcing dynamics, incentives to participate increase with the number of participants, such that incentives are highest when the full population has adopted the behavior. By contrast, when collective behaviors have weakly self-reinforcing dynamics, incentives to participate “peak out” early, leaving a residual fraction of non-participants. In systems of collective action, this residual fraction constitutes free riders, who enjoy the collective good without contributing anything themselves. This “free rider problem” has given rise to a research tradition in collective action that shows how free riding can be eliminated by increasing the incentives for participation, and thereby making cooperation strongly self-reinforcing. However, we show that when the incentives to participate have weakly self-reinforcing dynamics, which allow free riders, collective behaviors will have significantly greater long term stability than when the incentives have strongly self-reinforcing dynamics leading to full participation.
MIT Department
Sloan School of Management
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s10955-012-0679-3
