Please help with #3 Q1. A and B are the only two sandwich shops serving in a small town. Each shop can choose to set a highprice or a low price for sandwiches. The payoff matrix below shows the daily profit for each combinationof prices that the two shops could choose. The first entry shows A's profits, and the second entry showsB's profits. Assuming that both shops know the information shown in the matrix.AHigh PriceLow PriceAnnaa. Does each shop have a dominant strategy to set a high price, a dominant strategy to set a low price, ordoes it have no dominant strategy?b. If the two shops do not cooperate on setting prices, what will be the profit for each shop?Q2. Anna and Ben are deciding what do at weekend. The matrix below shows the payoff in units of utilityfrom each possible outcome. The first entry is Anna's utility, and the second entry is Ben's utility.SportsMovieBHigh Price($105, $110)($120, $80)HeadTailFind the Nash equilibrium (Show Calculation).BenSports(10, 20)(3,7)Low Price($40, $130)($75, $75)a. How many pure Nash equilibria are there in this game? List all of them.b. How many pure Nash equilibria are there in this game? List all of them (show your calculation steps).Q3. Suppose two players (A and B) are playing the "matching penny" game. The payoff matrix isdepicted below. Player A's payoff is the first entry and Player B's payoff is the second entry.BHead(1,-1)(-1, 1)Movie(3, 10)(4,9)Tail(-1, 1)(1,-1)

In game theory , each player take action which provides him higher payoff, here Nash equilibrium is…

Q3. Suppose two players (A and B) are playing the "matching penny" game. The payoff matrix is depicted below. Player A's payoff is the first entry and Player B's payoff is the second entry. A Head Tail Find the Nash equilibrium (Show Calculation). B Head (1,-1) (-1, 1) Tail (-1, 1) (1,-1)

Q3. Suppose two players (A and B) are playing the "matching penny" game. The payoff matrix is depicted below. Player A's payoff is the first entry and Player B's payoff is the second entry. A Head Tail Find the Nash equilibrium (Show Calculation). B Head (1,-1) (-1, 1) Tail (-1, 1) (1,-1)

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter15: Strategic Games

Section: Chapter Questions

Problem 5MC

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Consider the payoff matrix of Hulu and Netflix. Why don't both firms just raise prices? NETFLIX HULU 15, 15 8, 20 20, 8 10, 10 O It is in each firm's profitable interest to lower prices, no matter what the other competitor does. O Raising prices is illegal in this case. O Firms are concerned about a third competitor entering at higher prices. O Higher prices will increase the number of customers beyond what the firms can handle.
Suppose Tasty Cakes is deciding its pricing strategy: it is debating whether to offer a single linear price for its sheet cakes or to offer non-linear pricing. Suppose on any day, it gets 2 customers–who are of Type A and TypeB with the following maximum willingness-to-pay for the cakes: Units Type A Type B 1 $100 $90 2 $75 $40 Suppose it costs $10 to bake each of the cakes. (a) If Tasty Cakes decides to pick a linear pricing strategy, what will be the profit-maximizing price it should choose? How many cakes will it end up selling and what will be its total profit? (b) If Tasty Cakes decides to pick a non-linear pricing strategy where it may offer a different price depending on the number of cakes purchased, what should be the profit-maximizing set of prices? How many cakes will it sell and what will be its total profit? (c)Comparing Tasty Cakes’profits in (a) and (b), explain IN WORDS why we see this difference in profits
2.19. Standard setting. Suppose Apple and Samsung are in the process of negotiating a common standard for a new 3D camera tech- nology they plan to introduce in the next generation of smartphones. Apple has a preference for standard A, whereas Samsung has a pref- erence for standard S. However, both recognize that multiple stan- dards are a worse outcome for all. Specifically, Apple gets 240 if it selects A and Samsung does so too, but only 20 if Samsung does not adopt A. If Apple adopts standard S and Samsung does so too, then Apple gets a payoff of 190. If, however, Samsung chooses A then Ap- ple gets zero. For Samsung, the situation looks similar: If Samsung chooses standard S and Apple does the same then Samsung gets 210, but if Apple chooses A the Samsung's payoff is only 30. If Samsung opts for standard A and Apple does so too then Samsung gets a pay- off of 110, whereas if Apple chooses standard S then Samsung gets a payoff of zero. (a) Suppose that both Apple and Samsung…
Save Answer Consider two cigarette companies, PM Inc. and Brown Inc. If neither company advertises, the two companies spit the market and earn $60 million each. If they both advertise, they again split the market, but profits are lower by $20 million since each company must bear the cost of advertisirlg. Yet if one company advertises while the other does not, the one that advertises attracts customers from the other. In this case, the company that advertises earns $70 million while the company that does not advertise earns only $30 million. What will these two companies do if they behave as individual profit maximizers? Neither company will advertise, and PM Inc. earns $60. One company will advertise, the other will not. Brown Inc. earns $70. Both companies will advertise, and PM Inc. earns $40. Both companies will advertise, and PM Inc. earns $60.
Game Theory. 1. Yuppie town has two food stores, LA Boulangerie, which sells bread, and La Fromagerie, whichsells cheese. It costs $1 to make a loaf of bread and $2 to make a pound of cheese. If LaBoulangerie's price is P 1 dollars per loaf of bread and La Fromagerie's price is P 2 dollars per pound ofcheese, their respective weekly sales, Q 1 thousand loaves of bread and Q 2 thousand pounds ofcheese, are given by the following equations: a) For each store, write its profits as a function of P 1 and P 2 , and find the Nash equilibriumprices in this game. b) Suppose that the two stores collude and set prices jointly to maximize the sum of theirprofits. Find the joint profit-maximizing prices for the stores.c) Provide an explanation for the differences between the Nash equilibrium prices and thosethat maximize joint profits.
Jagtar and Ravi both grow mangoes, which they sell in the same local market. They are deciding whether to pick 5 baskets worth of mangoes or 10 baskets, and have the following profit matrix: Jagtar 5 1 17 5 1 22 16 14 Ravi 1 24 14 a. What is the Nash equilibrium if both individuals make their decisions simultaneously? b. Does your analysis change if the local market charges a lump-sum fee of 12 to set up a stall and sell the mangoes in the space it provides? c. What would happen if the local market were instead to charge a lump-sum fee of 18?
The Tampa Tribune and the St. Petersburg Times compete for readers in the Tampa Bay market for newspapers. Recently, both newspapers considered changing the prices they charge for their Sunday editions. Suppose they considered the following payoff table for making a simultaneous decision to charge either a low price of $0.50 or a high price of $1.00. Tampa’s profits are shown in regular type. St. Petersburg’s profits are shown in bold. 5. This newspaper pricing decision ________ (is, is not) a Prisoners' Dilemma.
The payoff matrix below describes a one-shot game in which two farmers ("Player A" and "Player B") choose between planting corn or planting wheat. The payoffs in this matrix represent thousands of dollars of income, so more is better. Pla yer A Plant Corn Plant Wheat What kind of equilibrium is this? Plant Corn Dominant Strategy Equilibrium Nash equilibrium 3, 3 Player B 5,0 Both a Nash and a Dominant Strategy Equilibrium O No equilibrium Plant Wheat 0,5 1, 1
Consider a town in which only two residents, Eric and Ginny, own wells that produce water safe for drinking. Eric and Ginny can pump and sell as much water as they want at no cost. For them, total revenue equals profit. The following table shows the town's demand schedule for water. Note: the second picture of the last blank has 4 option A. nash equilibrium B tying c resale price maintenance D predatory pricing
A case study in the chapter describes a phoneconversation between the presidents of AmericanAirlines and Braniff Airways. Let’s analyze thegame between the two companies. Suppose thateach company can charge either a high price fortickets or a low price. If one company charges $300,it earns low profit if the other company also charges$300 and high profit if the other company charges$600. On the other hand, if the company charges $600,it earns very low profit if the other company charges$300 and medium profit if the other company alsocharges $600.a. Draw the payoff matrix for this game.b. What is the Nash equilibrium in this game?Explain.c. Is there an outcome that would be better than theNash equilibrium for both airlines? How could itbe achieved? Who would lose if it were achieved?
4. Consider the following Pricing game. Firms A and B each has two strategies: to charge Low or High price. The following table shows the payoffs for all possible outcomes: Firm B Pricing Strategy Low High Low Firm A 0,0 -200, 400 High 400, -200 100, 100 Suppose that Firms A and B are going to play this game over and over again, forever. Also, suppose both firms agree on the following collusive plan: "We will each charge the high price, provided neither of us has ever charged the low price in any previous period. If one of us cheats and charges the low price, the other player will charge the low price in every period thereafter." Answer the following questions about this infinitely repeated game:
Table A shows the pricing options for two drone operators, Andrew and Jasmine, as an oligopoly in a local market. Which of the following pricing strategy scenarios does Table 2 depict, when there are at least two pricing periods expected? Table A Drone Operator Jasmine LOW Price Drone Operator Jasmine HIGH Price Drone Operator Andrew LOW Price Andrew Low Jasmine Low Drone Operator Andrew Charges LOW Price: gets $1,000 profit Drone Operator Jasmine Charges LOW Price: gets $1,000 profit Drone Operator Andrew Charges LOW Price: gets $2,000 profit Drone Operator Jasmine Charges HIGH Price: gets $0 profit Table 2 Pricing Strategy Scenario TABLE 2 First Period First Price Choice Period (High or Profit Low) $1,000 $1,000 Drone Operator Andrew HIGH Price Drone Operator Andrew Charges HIGH Price: gets $0 profit Drone Operator Jasmine Charges LOW Price: gets $2,000 profit Drone Operator Andrew Charges HIGH Price: gets $1,500 profit Drone Operator Jasmine Charges HIGH Price: gets $1,500 profit…