We characterize open-loop and feedback Nash equilibria for a class of constrained linear-quadratic multistage games having the following features: (a) The control variables are of two types, namely, control variables that enter the dynamics, but are not constrained, and control variables that are part of state-control constraints, but do not enter the dynamics; (b) The parameter values are uncertain, with the stochastic process being described by a event tree. This paper takes stock on Reddy and Zaccour (2015, 2017) where the same class of games was considered, but in a deterministic setting. Here, we follow the same approaches and rewrite the results in these two papers in a stochastic setting. (C) 2019 Elsevier Ltd. All rights reserved.