Stochastic Actor Oriented Models

Stochastic Actor Oriented Models (SOAM), also known as Siena models were introduced by CITATION NEEDED.

As a difference from ERGMs, Siena models look at the data generating process from the individuals’ point of view. Based on McFadden’s ideas of probabilistic choice, the model is founded in the following equation

\[ U_i(x) - U_i(x') \sim \text{Extreame Value Distribution} \]

In other words, individuals choose between states \(x\) and \(x'\) in a probabilistic way (with some noise),

\[ \frac{\exp{f_i^Z(\beta^z,x, z)}}{\sum_{Z'\in\mathcal{C}}\exp{f_i^{Z}(\beta, x, z')}} \]

snijders_(sociological methodology 2001)

Ripley et al. (2011)

Lazega, Emmanuel, and Tom AB Snijders. 2015. Multilevel Network Analysis for the Social Sciences: Theory, Methods and Applications. Vol. 12. Springer.

Ripley, Ruth M., Tom AB Snijders, Paulina Preciado, and Others. 2011. “Manual for RSIENA.” University of Oxford: Department of Statistics, Nuffield College, no. 2007. https://www.uni-due.de/hummell/sna/R/RSiena{\_}Manual.pdf.

Snijders, Tom A B, Gerhard G. van de Bunt, and Christian E G Steglich. 2010. “Introduction to stochastic actor-based models for network dynamics.” Social Networks 32 (1): 44–60. https://doi.org/10.1016/j.socnet.2009.02.004.