Problem 1 (6 points) Figures 1-6 below depict preference relations of six different people on sets of three or four alternatives. For each decision maker her set of alternatives constitutes the entire domain of choice. In figures alternatives are marked as dots and preferences are marked with arrows (the direction of the arrow corresponds to the direction of the preference); lack of an arrow between two dots means that an individual is indifferent between the two alternatives. Circle the right answer below. Figure 1 Figure 2 Z Y Y W Figure 3 Figure 4 X y Y W Figure 5 Figure 6 X Z y W Y W CIRCLE TRANSITIVE OR NOT TRANSITIVE Preference relation in Figure 1 is transitive not transitive Indifference relation in Figure 1 is transitive not transitive Preference relation in Figure 2 is transitive not transitive Indifference relation in Figure 2 is transitive not transitive Preference relation in Figure 3 is transitive not transitive Indifference relation in Figure 3 is transitive not transitive Preference relation in Figure 4 is transitive not transitive Indifference relation in Figure 4 is transitive not transitive Preference relation in Figure 5 is transitive not transitive Indifference relation in Figure 5 is transitive not transitive Preference relation in Figure 6 is transitive not transitive Indifference relation in Figure 6 is transitive not transitive