Modeling Evacuees' Exit Selection with Best Response Dynamics

We present a model for occupants’ exit selection in emergency evacuations. The model is based on the game theoretic concept of best response dynamics, where each player updates his strategy periodically according to other players’ strategies. A fixed point of the system of all players’ best response functions defines a Nash equilibrium of the game. In the model the players are the occupants and the strategies are the possible target exits. We present a mathematical formulation for the model and analyze its properties with simple test simulations