Five roommates are planning to spend the weekendin their apartment watching movies, and they aredebating how many movies to watch. The tablebelow shows each roommate’s willingness to pay foreach of the movies:Ava Ridley Spike Kathryn QuentinFirst film $14 $10 $8 $4 $2Second film 12 8 4 2 0Third film 10 6 2 0 0Fourth film 6 2 0 0 0Fifth film 2 0 0 0 0A movie on their streaming service costs $15, which theroommates split equally, so each pays $3 per movie.a. What is the efficient number of movies to watch(that is, the number that maximizes total surplus)?b. For each roommate, what is the preferred numberof movies to watch?

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4. Four roommates are planning to spend the weekend in their dorm suite watching old olent atsomos movies, and they are debating how many to watch. The table below contains their willingness to pay for each film. 1st film 2nd film 3rd film 4th film 5th film John $7 $6 $5 $4 $3 Paul $5 $4 $3 $2 $1 an rud bas Vedda nowoc 2102 gulden et 150 yebesnbew sho George $3 $2 $1 $0 $0 (nast il qalihe: 0 sx sig Ringo og $2 $1 $0 $0 $0 Taboog dikdug dan one dorld amasi obivond themsvog srl: asobydw 20607 1610A (b 2)99712 vdio (9 it sins 0.6 d. Is there any way to split the cost so that everyone benefits? What problems arise with this plan?

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11. Game theory terminology Complete the following table by selecting the term best described by each definition. A set of strategies (one for each player) in which each player's strategy is the best option for that player, given the chosen strategy of the player's opponents A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again The event that occurs when agents in a game form an agreement about which strategies to implement Tit-for- Definition Payoff Matrix Dominant Strategy Nash tat Prisoners' Dilemma Equilibrium Strategy Game Collusion A player's best choice, if it exists, regardless of their opponent's strategy O O O O O O O O O O