Lucy and Ed are choosing a colour for their new car by alternately eliminating

colours one at a time, until only one remains. Lucy moves first. There

are 4 possible colours, R (red), W (white), B (blue), and G (green). Lucy

prefers G to B to W to R. Ed prefers W to G to R to B. Construct the

extensive form of this game, find the subgame perfect equilibrium path (or

paths), and indicate the colour that is chosen. This question will be graded

based on the quality of the analysis provided.