QUESTION 7 Player 2 Left Right P1: $6 P1:$0 Player 1 Up P2: $6 P2: $5 P1: $3 P1: $1 Down P2:$8 P2: $10 List all dominant stragies in the game shown above O Up is a dominant strategy for player 1 O Down is a dominant strategy for player 1 O Left is a dominant strategy for player 2 Right is a dominant strategy for player 2 O There are no dominant strategies in this game
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- The following table contains the possible actions and payoffs of players 1 and 2. Player 2 Cooperate Not Cooperate Player Cooperate 15 , 15 -20 , 20 1 Not Cooperate 20 , -10 10 , 10 This game is infinitely repeated, and in each period both players must choose their actions simultaneously. If both players follow a tit-for-tat strategy, then they can Cooperate in equilibrium if the interest rate r is . At an interest rate of r=0.5, . If instead of playing an infinite number of times, the players play the game only 10 times, then in the first period player 1 receives a payoff ofAssume the following game situation: If Player A plays UP and Player B plays LEFT then Player A gets $2 and Player B gets $4. If Player A plays UP and Player B plays RIGHT then Player A gets $3 and Player B gets $6. If Player A plays DOWN and Player B plays LEFT then Player A gets $5 and Player B gets $2. If Player A plays DOWN and Player B plays RIGHT then Player A gets $1 and Player B gets $1. What is the mixed strategy expected payout for Player B? 1 40/15 39/15 11/2You and a classmate are assigned a project on which you will receive one combined grade. You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation: • If both of you work hard, you both get an A, which gives each of you 40 units of happiness. • If only one of you works hard, you both get a B, which gives each of you 30 units of happiness. • If neither of you works hard, you both get a D, which gives each of you 10 units of happiness. • Working hard costs 25 units of happiness. Complete the following payoff matrix given the previous information. In each cell, your classmate's payoff is on the left and yours is on the right. Your Decision Work Shirk Classmate's Decision Work , , Shirk , , The likely outcome is that your classmate and you . If you get this classmate as your partner on a series of projects throughout the year, rather than only once, you are…
- You and a classmate are assigned a project on which you will receive one combined grade. (You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation:• If both of you work hard, you both get an A, which gives each of you 40 units of happiness.• If only one of you works hard, you both get a B, which gives each of you 30 units of happiness.• If neither of you works hard, you both get a D, which gives each of you 10 units of happiness.• Working hard costs 25 units of happiness. a. Fill in the payoffs in the following decision box: REFER IMAGE b. What is the likely outcome? Explain your answer.c. If you get this classmate as your partner on a series of projects throughout the year, rather than only once, how might that change the outcome you predicted in part (b)?d. Another classmate cares more about good grades: She gets 50 units of happiness for a B and 80 units of happiness for an A. If this classmate were your partner (but your…You and a classmate are assigned a project on which you will receive one combined grade. (You each want to receive a good grade, but you also want to avoid hard work. In particular, here is the situation:• If both of you work hard, you both get an A, which gives each of you 40 units of happiness.• If only one of you works hard, you both get a B, which gives each of you 30 units of happiness.• If neither of you works hard, you both get a D, which gives each of you 10 units of happiness.• Working hard costs 25 units of happiness.a. Fill in the payoffs in the following decision box: b. What is the likely outcome? Explain your answer.c. If you get this classmate as your partner on a series of projects throughout the year, rather than only once, how might that change the outcome you predicted in part (b)?d. Another classmate cares more about good grades: She gets 50 units of happiness for a B and 80 units of happiness for an A. If this classmate were your partner (but your preferences…Amazon could launch a smartphone this year that costs “a fraction” of what Apple charges for its iPhone, a new report says. Amir Efrati at The Information spills details from an allegedly leaked internal Amazon document. The paperwork is said to have been produced by a potential partner and two people who were involved in discussions with Amazon. According to Efrati, the document discussed strategies for penetrating smartphone markets in China, Europe and the United States. Earlier discussions also mentioned Latin America as a possibility. The phone, which has been referred to as “Project Aria,” is likely to go on sale this year, according to Efrati. There’s no specific price, but he says Amazon is “determined” to “keep the phone at a small fraction of the iPhone’s $550-and-up price tag.” If Amazon does launch a smartphone this year, it’s unclear if it will fall under the company’s own brand or if it will work with a partner. Efrati says Amazon was “in talks” with “multiple hardware…
- Amazon could launch a smartphone this year that costs “a fraction” of what Apple charges for its iPhone, a new report says. Amir Efrati at The Information spills details from an allegedly leaked internal Amazon document. The paperwork is said to have been produced by a potential partner and two people who were involved in discussions with Amazon. According to Efrati, the document discussed strategies for penetrating smartphone markets in China, Europe and the United States. Earlier discussions also mentioned Latin America as a possibility. The phone, which has been referred to as “Project Aria,” is likely to go on sale this year, according to Efrati. There’s no specific price, but he says Amazon is “determined” to “keep the phone at a small fraction of the iPhone’s $550-and-up price tag.” If Amazon does launch a smartphone this year, it’s unclear if it will fall under the company’s own brand or if it will work with a partner. Efrati says Amazon was “in talks” with “multiple hardware…Amazon could launch a smartphone this year that costs “a fraction” of what Apple charges for its iPhone, a new report says. Amir Efrati at The Information spills details from an allegedly leaked internal Amazon document. The paperwork is said to have been produced by a potential partner and two people who were involved in discussions with Amazon. According to Efrati, the document discussed strategies for penetrating smartphone markets in China, Europe and the United States. Earlier discussions also mentioned Latin America as a possibility. The phone, which has been referred to as “Project Aria,” is likely to go on sale this year, according to Efrati. There’s no specific price, but he says Amazon is “determined” to “keep the phone at a small fraction of the iPhone’s $550-and-up price tag.” If Amazon does launch a smartphone this year, it’s unclear if it will fall under the company’s own brand or if it will work with a partner. Efrati says Amazon was “in talks” with “multiple hardware…Consider a game with two players A and B and two strategies X and Z. If both players play strategy X, A will earn $300 and B will earn $700. If both players play strategy Z, A will earn $1,000 and B will earn $600. If Player A plays strategy X and player B plays strategy Z, A will earn $200 and B will earn $300. If Player A plays strategy Z and player B plays strategy X, A will earn $500 and B will earn $400. Player B finds that: a) strategy Z is a dominant strategy. b) strategy X is a dominant strategy. c) he has no dominant strategy. d) strategy X is a dominated strategy. e) strategy Z is a dominated strategy.
- Q14. Do players have perfect information in the above game? Yes, all of them have perfect information No, player 2 has imperfect information No, player 3 has imperfect information No, no player has perfect information Q15. If we want to describe the above game with a strategic form representation, what would the strategy sets for the three players be? Player 1={a, b, c} ; Player 2={x, y}; Player 3={r, s} Player 1={a, b, c} ; Player 2={xx, xy, yx, yy}; Player 3={r, s}Consider the following dynamic game. There are two players (P1, P2). Player 2 tries to rob Player 1. If Player 1 pays $100, the game is over with Player 1 (victim) paying $100 to Player 2 (robber) (P1: -$100, P2: +$100). If Player 1 refuses to pay $100, then Player 2 has two choices: one is to hurt Player 1 (P1: -$5,000, P2: -$1,000) and the other is to walk away (P1: 0, P2: 0). Explain how to find an equilibrium in this game.two players, a and b are playing an asymmetrical game. there are n points on the game board. each turn player a targets a pair of points and player b says whether those two points are connected or unconnected. a can target each pair only once and the game ends when all pairs have been targeted. player b wins if a point is connected with all other points on the very last turn, while player a wins if any point is connected with all other points on any turn but the very last one or if no point is connected to all other points after the last turn. for what values of n does either player have a winning strategy?