Seating density Model type The baseline model The inertia model The endogenous social sensitivity model The baseline model has two forms. In the complete information case, the entire audience is visible to all agents regardless of where they are seated. The propensity to stand is \[ P_i^{(n)} = \sigma_i\left( {S^{(n-1)} \over M} \right) + (1-\sigma_i)q_i. \] In the incomplete information case, the quantity \( S^{(n-1)} \over M \) is replaced by \( {S_i^{n-1} \over M_i} \), the proportion of people standing within the field of vision of person \(i\). In the inertia model, the more rounds have passed, the less likely someone is to stand up (scaled by a factor \(e^{-\alpha t}\, \)). In addition, the perceived proportion of standing agents is scaled by a factor \(\beta \gt 0\), representing the degree of contagion in the group. \[ P_i^{(n)} = e^{-\alpha t} \left[ \sigma_i\left( {S^{(n-1)} \over M} \right)^\beta + (1-\sigma_i)q_i \right]. \] In the endogenous model, the equation for the propensity to stand is the same as in the baseline model case, except that \(\sigma\) is treated as a function of the population state. That is, \[ P_i^{(n)} = \sigma_i\left( {S^{(n-1)} \over M} \right) + (1-\sigma_i)q_i \] where \[ \sigma_i\left( {S^{(n-1)} \over M} \right) = \begin{cases} 1 & \text{if \(S^{(n-1)}/M \geq 1-q_i\)} \\ \epsilon & \text{otherwise} \end{cases} \] Insert description of the symmetric model here. Dynamics Simultaneous action Update using Complete information Incomplete information \(\alpha\)-value \(\beta\)-value \(\epsilon\)-value \(q_i\) value Social sensitivity \(\sigma_i\)