Two drunken guys drive toward each other in the middle of the road. As they approach the impact point, each has the option of continuing to drive down the middle of the road or to swerve. Both believe that if only one driver swerves, that driver loses face (payoff = 0) and the other gains in self-esteem (payoff =2). If neither swerves, they are maimed or killed
(payoff = -10). If both swerve, no harm is done to either (payoff = 1).
(i) Show the payoff matrix for the two drivers engaged in this game of chicken. Determine the Nash equilibrium for the game
(ii) If we modify the payoff matrix so that the payoff is -2 if neither driver swerves, how will the equilibrium change?
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