Hal and Nick are racing to develop a new brand of coconut milk that they both believe will be the next big soft drink. The payoff matrix shows the economic profit in millions of dollars for the game that Hal and Nick play.
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- Question 3: Two cars roar at each other down the middle of a country road. Each driver has two possible actions: to Swerve or Not Swerve. Consider the possible outcomes and assign payoffs accordingly. Explain your reasoning. Then produce a game matrix, as we did in class. Identify any pure strategy Nash equilibrium points.aepioymentld=598281800483229979995799&elSBN=9780357133606&id%3D1061548135&snapshotld%32200166& 6. Using a payoff matrix to determine the equilibrium outcome Suppose there are only two firms that sell smartphones: Flashfone and Pictech. The following payoff matrix shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its phones. Pictech Pricing High Low High 11, 11 2, 15 Flashfone Pricing Low 15, 2 8, 8 For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $15 million, and Pictech will earn a profit of $2 million. Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms. If Flashfone prices high, Pictech will make more profit if it chooses a price, and if Flashfone prices low, Pictech will make more profit if it chooses ▼ price. a If Pictech prices high, Flashfone will make more profit if it chooses a price, and…Megan and Martha own competing hair salons that are in the same neighborhood. They are both considering offering their clients discounts in order to increase business. The payoff matrix shows their yearly incomes in thousands of dollars if they offer and do not offer discounts to their customers. Martha Megan Discount No Discount Discount $50, $75 $75, $60 No Discount $35, $90 $70, $85 If both Megan and Martha did not discount, what would each earn in yearly income? Megan would earn $50,000; Martha would earn $75,000. Megan would earn $75,000; Martha would earn $60,000. Megan would earn $35,000; Martha would earn $90,000. Megan would earn $70,000; Martha would earn $85,000. Megan would earn $35,000; Martha would earn $85,000.
- O Cell A O Cell C O Cell E O Cell I None of the aboveTwo discount stores (Megastore and Superstore) are interested in expanding their market share through advertising. The table below depicts the strategic outcomes (profits) of both stores with and without advertising. Superstore - Advertise Superstore - Don't Advertise Megastore - Advertise $95, $80 $305, $55 Megastore - Don't Advertise $65, $285 $165, $115 When the game does reach Nash Equilibrium, the payoffs for both stores will be a) Megastore $95 and Superstore $80 b) Megastore $305 and Superstore $55 c) Megastore $65 and Superstore $285 d) Megastore $165 and Superstore $115Brian and Matt own the only two bicycle repair shops in town. Each must choose between a low price for repair work and a high price. The yearly economic profits from each strategy are indicated in Figure bellow. The upper right side of each rectangle shows Brian's profits; the lower left side shows Matt's profits. Matt's Actions Low Price High Price Low Price Brian's Actions $1,500 $1,500 $200 $3,000 High Price $5,000 $200 $4,000 $4,000 Which of the following statements is correct for a one-trial game? The market equilibrium price is the low price. A market equilibrium price cannot be established unless Brian and Matt collude. A market equilibrium price cannot be established unless Brian or Matt engages in tit-for-tat strategy. A market equilibrium price cannot be established without repeated trials. The market equilibrium price is the high price.
- On a duopolistic market, two tobacco firms are considering separately whether or not to engage in a marketing campaign. The market share gained from advertising will depend on whether the other competitor also advertises. The payoffs in millions of pounds for the firms are displayed in the following payoffs table where the first figure in the bracket denotes the payoff to A, and the second figure the payoff to B. Firm B\Firm A Firm A advertises Firm A no advertising Firm B advertises (60,75) (20,150) Firm B no advertising (120, 25) (100,120) a. Is there a dominant strategy? If so, what is the dominant strategy? Explain the meaning of a dominant strategy. b. Is there a Nash equilibrium? If so, what is it? Explain briefly what this implies. Explain the concept of Nash equilibrium. c. Does this advertising game pose a prisoners' dilemma? Justify your answer and explain what this means for the case of making advertising in cigarettes illegal.A secluded off-ramp on a highway through the Prairie of Prax has two gas stations, the only gas stations for miles, Northgoings and Southgoings. Suppose Northgoings and Southgoings must simultaneously display their prices, choosing between a high price and low price gas. The payoff matrix for this game, showing potential daily profit, is displayed below. Assume both stations know all of the information in the matrix, and that this is a one-time payoff. Northgoings Decisions High Price Low Price N: $500 N: $800 High Price S: $400 S: $50 Southgoings Decisions N: $100 N: $250 Low Price S: $700 S: $200 (a) According to our model of game theory, Northgoings has a dominant strategy to [Select] (b) According to our model of game theory, Southlgoings has a dominant strategy to [ Select] V (c) According to our model of game theory, the competitive outcome, or Nash Equilibrium, Northgoings will earn [ Select] and Southgoings will earn [ Select] (d) On the other hand, if these two companies…Suppose two players play the prisoners' dilemma game a finite number of times, both players are rational, and the game is played with complete information, is a tit-for-tat strategy optimal in this case? Explain using your own words.
- To advertise or not to advertise Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Dairy King Advertise Doesn't Advertise Creamland Advertise 10, 10 18, 2 Doesn't Advertise 2, 18 11, 11 For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $18 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms. If Creamland decides to advertise, it will earn a profit of _________ million if Dairy King advertises and a profit of ________ million if Dairy King does not advertise. If Creamland decides not to advertise, it will earn a profit of __________ million if Dairy King advertises and a profit of _________…Team 2 plays A Team 2 plays B Team 1 plays A 0, 24 10, 10 Team 1 plays B 4, 4 24, 0 Consider the infinitely repeated version of the game above. Which of the following is the smallest discount factor such that the grim trigger strategy under which team 1 plays A and team 2 plays B until a team deviates, after which team 1 plays B forever and team 2 plays A forever is a Nash Equilibrium? 1/100 1/2 3/4Consider the 2-player, zero-sum game "Rock, Paper, Scissors". Each player chooses one of 3 strategies: rock, paper, or scissors. Then, both players reveal their choices. The outcome is determined as follows. If both players choose the same strategy, neither player wins or loses anything. Otherwise: • "paper covers rock": if one player chooses paper and the other chooses rock, the player who chose paper wins and is paid 1 by the other player. "scissors cut paper": if one player chooses scissors and the other chooses paper, the player who chose scissors wins and is paid 1 by the other player. "rock breaks scissors": if one player chooses rock and the other player chooses scissors, the player who chose rock wins and is paid 1 by the other player. We can write the payoff matrix for this game as follows: rock paper scissors rock 0 -1 1 paper 1 0 scissors -1 1 -1 0 2. Suppose now we alter the game so that whenever Colin chooses "paper" the loser pays the winner 3 instead of 1: rock paper…