5 What is the equilibrium strategy for each firm in a duopolists’ dilemma and why do the firms not succeed in colluding to raise the price and profits? The Nash equilibrium for the prisoners’ dilemma is unique: both players cheat (confess). Not all games have a unique equilibrium, and one that doesn’t is a game called ‘chicken’.

An Example of a Game of Chicken A graphic, if disturbing, version of ‘chicken’ has two cars racing towards each other. The first driver to swerve and avoid a crash is the ‘chicken’. The payoffs are a big loss for both if no one ‘chickens out’, zero for both if both

‘chicken out’, and a gain for the player who stays the course. If player 1 swerves, player 2’s best strategy is to stay the course. And if player 1 stays the course, player 2’s best strategy is to swerve.

An Economic Example of Chicken An economic game of chicken can arise when research and development (R&D) creates a new technology that cannot be kept secret or patented, so both firms benefit from the R&D of either firm. The chicken in this case is the firm that does the R&D.

Suppose, for example, that either Apple or Nokia spends £9 million developing a new touch-screen technology that both would end up being able to use regardless of which of them developed it.