Table 2 Percentages of decrease (increase) in the upper (lower) bound. The improvement is small even when \(|S^*|=|S_*|=10^7\). \(N=100\), \(f=50\), and \(\lambda =0.02\)
From: Information cascade final size distributions derived from urn models
\(|S^*|=|S_*|\) | 0 | \(10^4\) | \(10^5\) | \(10^6\) | \(10^7\) |
|---|---|---|---|---|---|
Upper bound \(B^*\) | 0% | 0.016% | 0.076% | 0.096% | 0.126% |
Lower bound \(B_*\) | 0% | 0.037% | 0.135% | 0.173% | 0.211% |