uppose that tomas and angel are considering buying a playstation for the apartment they share. each of them makes an independent decision about whether or not to buy the playstation, and it is purchased as long as at least one of them decides to buy. they each value the playstation at $210. the price is $280. 1st attempt part 1 (3 points) if only one of them decides to buy, the one who buys gets a payoff of $ while the other gets a payoff of $ . if they both decide to buy, they each pay the full price and earn a payoff of $ . if neither of them buys, then each gets a payoff of zero. part 2 (1 point) draw this situation as a game. think of it as a 2 × 2 normal-form game with buy and don't buy as the strategies. once you draw the game, consider the following questions. in this game, which is the dominant strategy equilibrium? choose one or more: a. both choose don't buy. b. angel chooses buy, and tomas chooses don't buy. c. tomas chooses buy, and angel chooses don't buy. d. both choose buy. part 3 (2 points) now suppose that angel makes a side payment of $30 to tomas if he buys the playstation. will these terms change the outcome of the game? if the side payment is $80 instead of $30, will the outcome of the game change?