Game theory in evacuation models

M. N. KUPERMAN

Córdoba

Workshop; LAWNP; 2013

U.N. Córdoba

We analyze the pedestrian evacuation of a rectangular room with a single door considering aLattice Gas scheme with the addition of behavioral aspects of the pedestrians. The movement ofthe individuals is based on random and rational choices and is affected by conflicts between twoor more agents that want to advance to the same position. Such conflicts are solved according tocertain rules closely related to the concept of strategies in Game Theory, cooperation and defection.We consider game rules analogous to those from the Prisoner?s Dilemma and Stag Hunt games, withpayoffs associated to the probabilities of the individuals to advance to the selected site. We findthat, even when defecting is the rational choice for any agent, under certain conditions, cooperatorscan take advantage from mutual cooperation and leave the room more rapidly than defectors.