The long-run theoretical share of depositors who do not withdraw (k) in the case of random sampling and Scenario 3. The black line represents the left-hand side of Eq (13) (i.e. the 45-degree line), the colored lines represent the right-hand side of Eq (13) for different parameter values as shown in the legend. The long-run share of depositors who do not withdraw is given by the largest (rightmost) crossing point of the 45-degree line and a given colored line. The parameter values are as in Scenario 3 (R = 1.5, = 4). And on the first Panel: N = 85, is varied 00333549131282S104 as = 0.1 (blue line), = 0.5 (red line), = 0.9 (green line). On the second Panel: = 0.five, N is varied as N = ten (blue line), N = 85 (red line), N = 160 (green line). doi:ten.1371/journal.pone.0147268.gPLOS One particular | DOI:ten.1371/journal.pone.0147268 April 1,20 /Correlated Observations, the Law of Smaller Numbers and Bank RunsTable 3. The probability of bank run in the case of random sampling as computed in the simulations. Galunisertib custom synthesis Situation 1 N 10 35 60 85 110 135 160 185 210 N 10 35 60 85 110 135 160 185 210 N ten 35 60 85 110 135 160 185 210 = 0.1 0 0 0 0 0 0 0 0 0 = 0.1 0 0 0 0 0 0 0 0 0 = 0.1 1 0 0 0 0 0 0 0 0 = 0.3 0 0 0 0 0 0 0 0 0 Scenario two = 0.three 0 0 0 0 0 0 0 0 0 Situation three = 0.3 1 1 0 0 0 0 0 0 0 = 0.five 1 1 1 0 0 0 0 0 0 = 0.7 1 1 1 1 1 1 1 0 0 = 0.9 0.88 1 1 1 1 1 1 1 1 = 0.five 1 0 0 0 0 0 0 0 0 = 0.7 0 0 0 0 0 0 0 0 0 = 0.9 0.93 1 0.65 0 0 0 0 0 0 = 0.five 0 0 0 0 0 0 0 0 0 = 0.7 0 0 0 0 0 0 0 0 0 = 0.9 0.9 0 0 0 0 0 0 0The probability of bank run is computed because the percentage of simulation runs exactly where a bank run occurred (out of 100 simulation runs). A bank acr.22433 run happens in a offered simulation run if significantly less than three in the last 20000 depositors in the line maintain their cash within the bank. journal.pgen.1001210 The population consists of 107 depositors. The first panel shows the outcomes for Scenario 1 (R = 1.1, = 1.five), the second panel for Situation two (R = 1.3, = 2.5), the third panel for Scenario three (R = 1.five, = four). The values of N and are varied as shown within the first column and first row of each and every panel, respectively. The underlined entries can be directly in comparison to the outcomes represented on Figs 1?. doi:ten.1371/journal.pone.0147268.tDiscussion. Remember that the bank in our model is assumed to be fundamentally he.