This is a question in the info-cascade question series. There is a prize pool of up to $800 for answers to these questions. See the link above for full background on the problem (including a bibliography) as well as examples of responses we’d be especially excited to see.
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How can we quantify the impact (harm) of info-cascades?
There are many ways in which info-cascades are harmful. Insofar as people base their decisions on the cascaded info, this can result in bad career choices, mistaken research directions, misallocation of grants, a culture that is easier to hijack by cleverly signalling outsiders (by simply “joining the bubble”), and more.
But in order to properly allocate resources to work on info-cascades we need a better model of how large the effects are, and how they compare with other problems. How can we think about info-cascades from a cost-effectiveness perspective?
We are especially interested in answers to this question that ultimately bear on the effective altruism/rationality communities, or analyses of other institutions with insights that transfer to these communities.
As an example step in this direction, we built a Guesstimate model, which is described in an answer below.
This might be an interesting pointer.
In Note-8 in the supplementary materials, Greenberg begins to quantify the problem. He defines an amplification measure for paper P as the number of citation-paths originating at P and terminating at all other papers, except for paths of length 1 flowing directly to primary data papers. The amplification density of a network is the mean amplification across its papers.
Greenberg then finds that, in the particular network analysed, you can achieve amplification density of about 1000 over a 15 year time-frame. This density grows exponentially with a doubling time of very roughly 2 years.