The 'game-theoretic modeling and analysis of insider threats' by Liu et al, 2008) is a stochastic game model; just wondering if an interpretation of it is deterministic mode to express out the conditions for Nash Equilibrium.
In common time-series usage, the term "stochastic" model implies the so-called irregular (or sometimes called random) term have a real impact on the future values that are attainable. The stochastic irregular is not an error term, it is like a random walk, each random step defines the start point for the next step. The effect of each random shock shows up in all future points. A deterministic model assumes the random term is independent of the variable being modeled and is independent of time.The terminology was invented to define a dichotomy.
When one is talking about one-step into the future forecasts for stochastic models, one can develop classical deterministic variance tests for the forecasts but once the future arrives, the irregular becomes known and it effects all points further into the future.
Mixing Nash equilibriums, game theory and stochastic models is quite a challenge.