Up COO Down Player 1 Up Down Up Down Player 2 In the game above, what is/are the EFFICIENT sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) No EFFICIENT equilibrium exists P1 gets $25 P2 gets $15 P1 gets $10 P2 gets $10 P1 gets $15 P2 gets $5 P1 gets $15. P2 gets $25
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- Up ооооо Down Player 1 Up No EFFICIENT equilibrium exists Down Up Down Player 2 P1 gets $120 P2 gets $5 P1 gets $100 P2 gets $10 P1 gets $95 P2 gets $95 In the game above, what is/are the EFFICIENT sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) P1 gets $15 P2 gets $25Aedri Quick Lesson in Game Theory A Nash Equilibrium is an outcome in which neither player is better off by changing their strategy. 2.7 Is a Dominant Strategy equilibrium also a Nash equilibrium? a) Yes b) No esc The Ice Cream Guys $3.99 $4.99 + Chucky's Chunky CCT: $20,000 $3.99 ICG: $20,000 CCT: $60,000 ICG: $10,000 tab Treats CCT: $10,000 $4.99 ICG: $60,000 CCT: $40,000 ICG: $40,000 The table above is the payoff matrix for the annual profit of the only two ice-cream-truck firms operating in Beach City. They are deciding the price of an ice cream cone. %3D caps lo 2.8 What is Chucky's dominant strategy? a) $3.99 b) $4.99 c) Not enough information hift 2.9 What is the dominant strategy equilibrium in this situation? a) Both charge $3.99 b) Both charge $4.99 c) CCT charges $3.99 and ICG charges $4.99 d) CCT charges $4.99 and ICG charges $3.99 2.10 Suppose these two firms engaged in collusion (which, of course, totally doesn't happen because it is against the law). Which outcome would…QUESTION 6 Up Down Player 1 equilibrium exists Up Down Up In the game above, what is/are the EFFICIENT sub-game perfect Nash equilibrium? (up.up) (up.down) (down, up) (down, down) No Down Player 2 P1 gets $45 P2 gets $150 P1 gets $100 P2 gets $100 P1 gets $95 P2 gets $95 P1 gets $15 P2 gets $25
- Game Theory Question A non-profit firm is on a local community online donation platform for a community event it wants to hold (only community members can donate via the website). The event will be held only if the non-profit firm collects $20,000 total from members of the community. Each member values the event at $500. Suppose that there are 100 community members. Community members can only donate by purchasing a lottery ticket from the firm. Each ticket costs $200 and only one ticket can be purchased per member. The proceeds will be collected by the firm. The lottery winner gets a premier meal at a local restaurant that's worth $100. Remember, the firm keeps all the donated money. If the amount of donations is less than $20,000, then the firm returns the donated money to the community members (since there'll be no event held but the lottery winner still gets to eat that fancy meal). If the donations sum up to $20,000, the community event will take place. What are the Nash…Player 1 оооо Up (up, left) (up, right) (down, left) (down, right) None Down Player 2 Left P1: $15 P2: $15 In the game shown above, list all of the Nash Equilibrium (please check ALL that apply) P1: $12 P2: $18 Right P1:$11 P2: $16 P1: $13 P2: $13оооооооооо Player 1 (up, left) (up, middle) right) (up, (middle, left) (middle, middle) Up (middle, right) (down, left) (down, middle) (down, right) No equilibrium Middle In the game shown above, list all of the Nash Equilibrium (please check ALL that apply) Down Left P1:$13 P2: $22 P1: $12 P2:$15 P1:$10 P2:$0 Player 2 Middle P1:$2 P2:$13 P1:$5 P2: $18 P1:$3 P2: $0 Right P1: $22 P2:$21 Pl: $31 P2:$7 P1:$34 P2:$1
- (The Beckhams' dilemma) Victoria and David are husband and wife. They both prefer ciean to dirty house but neither likes to clean the house. Their payoffs are given in the table below. Victoria Clean Don't clean 0,8 Clean 5,5 David Don't clean 8,0 1,1 a) Let say they play the clean house game only once, what is the Nash equilibrium? b) Let say Victoria and David has to decide whether to clean or not every day for indefinite number of days. How grim-trigger strategy will be our subgame perfect Nash equilibrium? In other words, what is the patience rate that ensure Victoria and David maintain the cleanliness of the house?Up ооооо Down Player 1 Up Down Up Down Player 2 In the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) No equilibrium exists P1 gets $100 P2 gets $100 P1 gets $10 P2 gets $110 P1 gets $15 P2 gets $15 P1 gets $65 P2 gets $105. Aaron and Betty play the following one-shot game. Aaron Up Middle Down Left 10,0 5,10 1,1 Betty Right 0,5 1,0 2,2 a. Does the game above have any (pure strategy) Nash equilibria? Find any equilibria or explain why an equilibrium doesn't exist. b. Suppose instead that Aaron moves first and Betty moves second. Represent this situation with a game tree and find the subgame perfect Nash equilibrium. Are Aaron and Betty better off playing a simultaneous game or a sequential game in which Aaron moves first? Explain. c.
- Up Down Player 1 in the game above, what is/are the sub-game perfect Nash equilibrium? (up,up) (up,down) (down, up) (down, down) No equilibrium exists Up Down Up Down Player 2 P1 gets $100 P2 gets $100 P1 gets $10 P2 gets $10 P1 gets $15 P2 gets $5 P1 gets $110 P2 gets $104. Consider the following game. There are four distinct glasses of wine on a table: three are red wine, and one is white. Two players must pick a glass of wine at the same time. If they choose the exact same glass of wine, then they each earn $1,000. Otherwise, they earn nothing. Draw the payoff matrix. What is this game's Nash equilibrium (or equilibria)? What is this game's focal point? Explain. (20%) 5. Rational ignorance poses a serious problem for democracy, but can be partially resolved by implementing Skin in the Game policies. For example, consider the following law: politicians who vote for war must enlist in the military, or have a family member enlist. How does this law (a) fall under Skin in the Game; and (b) Resolve the problem of Rational Ignorance when it comes to foreign policy? (20%)Player 2 Left P1: $40 Player 1 Up P2: $0 P1: $44 Down P2:$44 In the game shown above, list all of the EFFICIENT Nash Equilibrium (please check ALL that apply) (up, left) (up, right) (down, left) (down, right) No efficient Nash Equilibrium Right P1:$1 P2: $1 P1: $0 P2: $40