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Information cascade
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=== Resulting conditions === #'''Cascades will always occur''' β as discussed, in the simple mode, the likelihood of a cascade occurring increases towards 1 as the number of people making decisions increases towards infinity. #'''Cascades can be incorrect''' β because agents make decisions with both bounded rationality and probabilistic knowledge of the initial truth (e.g. whether accepting or rejecting is the correct decision), the incorrect behavior may cascade through the system. #'''Cascades can be based on little information''' β mathematically, a cascade of an infinite length can occur based only on the decision of two people. More generally, a small set of people who strongly promote an idea as being rational can rapidly influence a much larger subset of the general population #'''Cascades are fragile''' β because agents receive no extra information after the difference between a and b increases beyond 2, and because such differences can occur at small numbers of agents, agents considering opinions from those agents who are making decisions based on actual information can be dissuaded from a choice rather easily.<ref name="Bik"/> This suggests that cascades are susceptible to the release of public information.<ref name="Bik"/> also discusses this result in the context of the underlying value p changing over time, in which case a cascade can rapidly change course.
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