3. (6 marks total) And the Oscar goes to... Every year before the Academy Awards, film enthusiasts Meryl, Denzel, and Marlon have a movie watching marathon and mini awards show to decide on a Best Picture for the previous year. This year, there are three candidate movies in the hunt for their 'Best Picture' award: the mind-bending science fiction thriller, Algernon (we will denote by A); the gritty, character-driven drama, Breaking Point (denoted B); and the visually stunning and inspired foreign film Castelo de Cabra (denoted C). After watching and discussing all three movies, each person's preferences are as follows:

Meryl prefers A to B and prefers B to C.

Denzel prefers C to A and prefers A to B.

Marlon prefers B to C and prefers C to A.

This study resource was shared via CourseHero.com Since they seem to be stuck, they agree to have a vote. Here's how it will work. Each person writes their selection for best picture on a ballot. If one movie receives more votes than the others, it wins the award. If there is a three way tie in which each movie gets a single vote, then Meryl (as the host) breaks the tie. Assuming that all three movie lovers are perfectly rational, and each knows the preferences of the other two, we would like to determine how each of them would vote.

(a) (3 marks) For each individual, determine which of their strategies are strictly or weakly dominated.

(b) (3 marks) After eliminating the strategy/strategies found in part a), which strategy/strategies can you now eliminate? What will be the result of the vote?