Emily and Brooklyn are competitors in a local market. Each is trying to decide if it is better to advertise on TV, on radio, or not at all. If they both advertise on TV, each will earn a profit of $5000. If they both advertise on radio, each will earn a profit of $7000. If neither advertises at all, each will earn a profit of $10,000. If one advertises on TV and the other advertises on radio, then the one advertising on TV will earn $8000 and the other will earn $3000. If one advertises on TV and the other does not advertise, then the one advertising on TV will earn $15,000 and the other will earn $2000. If one advertises on radio and the other does not advertise, then the one advertising on radio will earn $12,000 and the other will earn $4000. If both follow their dominant strategy, what will Emily do and what will she earn? advertise on radio and earn $7000 not advertise and earn $10,000 advertise on TV and earn $5000 advertise on TV and earn $15,000
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- Jones TV and Smith TV are the only two stores in your town that sell flat panel TV sets. First, Jones will choose whether to charge high prices or low prices. Smith will see Jones's decision and then choose high or low prices. If they both choose High, each earns $10,000. If they both choose Low, each earns $8,000. If one chooses High and the other chooses Low, the one that chose High earns $6,000 and the one that chose Low earns $14,000. a. Draw the game tree. Use backward induction to solve this game. b. Suppose Smith goes to Jones and promises to choose High if Jones chooses High. Is this a credible promise? c. Now suppose Jones starts a new policy that says it will always match or beat Smith's price. It advertises the new policy heavily and so must choose Low if Smith chooses Low. So the game now has the following structure. First, Jones chooses High or Low. Second, Smith chooses High or Low. Third, if Jones has chosen High and Smith has chosen Low, Jones meets Smith's price and…Suppose that two clothing manufacturers, Lands’ End and L.L. Bean, are deciding what price to charge for very similar field coats. The cost of producing these coats is $100. The coats are very close substitutes, so customers flock to the seller that offers the lowest price. If both firms offer identical prices, each receives half the customers. For simplicity, assume that the two firms have the choice of pricing at prices of $103, $102, or $101. The profit each firm would earn at various prices (Lands’ Ends Profit, LL Bean’s Profit) is attached in the payoff matrix below: a.) What is the Nash equilibrium and expected profits to LL Bean and Lands’ End of this game? b.) Suppose this is a mixed strategy game in which LL Bean has a 25% percent chance of choosing a priceof $101, a 25% chance of choosing price of $102, and a 50% chance of choosing $103, while Lands End has a1/3 chance of choosing each strategy. What’s the expected payoff to LL Bean? c.) Suppose that in hopes of raising…Suppose that Fizzo and Pop Hop are the only two firms that sell orange soda. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Рop Hop Advertise Doesn't Advertise Advertise 8, 8 15, 2 Fizzo Doesn't Advertise 2, 15 11, 11 For example, the upper right cell shows that if Fizzo advertises and Pop Hop doesn't advertise, Fizzo will make a profit of $15 million, and Pop Hop will make a profit of $2 million. Assume this is a simultaneous game and that Fizzo and Pop Hop are both profit-maximizing firms. If Fizzo decides to advertise, it will earn a profit of $ million if Pop Hop advertises and a profit of $ million if Pop Hop does not advertise. If Fizzo decides not to advertise, it will earn a profit of $ million if Pop Hop advertises and a profit of $ million if Pop Hop does not advertise. If Pop Hop advertises, Fizzo makes a higher profit if it chooses If Pop Hop doesn't advertise, Fizzo makes a higher…
- 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 _________…There is an oligopolistic market with three firms: A, B, and C. The market demand is Q=300-2P. Firm A's cost is TCA=75Q. Firm B's cost is TCB=65Q. Firm C's cost is TCC=60Q. Assume that the three firms compete by setting prices (Bertrand Game). a. If firm A's price is PA=100 and firm B's price is Pa=95, what is firm C's best response? Give your result with two decimal places. b. At Nash equilibrium, what is the price charged by each firm? c. At Nash equilibrium, what is the quantity sold by each firm? d. At Nash equilibrium, what is each firm's profit?Suppose that Fizzo and Pop Hop are the only two firms that sell orange soda. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: Fizzo Advertise Doesn't Advertise Advertise 10, 10 2, 18 Pop Hop Doesn't Advertise For example, the upper right cell shows that if Fizzo advertises and Pop Hop doesn't advertise, Fizzo will make a profit of $18 million, and Pop Hop will make a profit of $2 million. Assume this is a simultaneous game and that Fizzo and Pop Hop are both profit-maximizing firms. 18, 2 11, 11 If Fizzo decides to advertise, it will earn a profit of $ advertise. If Fizzo decides not to advertise, it will earn a profit of $ advertise. If Pop Hop advertises, Fizzo makes a higher profit if it chooses If Pop Hop doesn't advertise, Fizzo makes a higher profit if it chooses Both firms will choose to advertise. million if Pop Hop advertises and a profit of $ O Fizzo will choose to advertise and Pop Hop…
- Perrier and Apollinaris. Perrier and Apollinaris are two companies that sell mineral water in Tampa, FL. Each company has a fixed cost of $5,000 per period, regardless whether they sell anything or not. The two companies are competing for the same market and each firm must choose a high price ($2 per bottle) or a low price ($1 per bottle). Here are the rules of the game: At a price of $2, 5,000 bottles can be sold for total revenue of $10,000. At a price of $1, 10,000 bottles can be sold for total revenue of $10,000. If both companies charge the same price, they split the sales evenly between them. If one company charges a higher price, the company with the lower price sells the whole amount and the company with the higher price sells nothing. Payoffs are total profits. In this case, Apollinaris has: no dominant strategy. Perrier has a dominant strategy of P=$1. a dominant strategy of P=$1. Perrier also has a dominant strategy of P=$2. a dominant strategy…Three oligopolistic firms ("1", "2" and "3") conduct quantity competition in a certain market. The interactions between them take place as follows: firm 1 defines its production quantity, which is immediately observed by firms 2 and 3; then, firm 2 makes its decision on how much it will produce, and only after observing the decisions of firms 1 and 2 does firm 3 finally make its respective choice. Furthermore, the total costs of firms 1, 2 and 3 correspond respectively to c₁(q₁) = 10q₁, c₂(q₂) = 8q₂ and c₃(q₃) = 2q₃, and the firms face a (inverse) demand given by p(Q) = 110 - Q (where Q = q₁ + q₂ + q₃). Based on this information, determine what will be the total amount produced by the firms in the (single) ENPS for that game. (Note: the correct answer is an integer.)Perrier and Apollinaris. Perrier and Apollinaris are two companies that sell mineral water in Tampa, FL. Each company has a fixed cost of $5,000 per period, regardless whether they sell anything or not. The two companies are competing for the same market and each firm must choose a high price ($2 per bottle) or a low price ($1 per bottle). Here are the rules of the game: At a price of $2, 5,000 bottles can be sold for total revenue of $10,000. At a price of $1, 10,000 bottles can be sold for total revenue of $10,000. If both companies charge the same price, they split the sales evenly between them. If one company charges a higher price, the company with the lower price sells the whole amount and the company with the higher price sells nothing. Payoffs are total profits. In this case, the NE is(are): (P=$2, P=$1). (P=$1, P=$2). (P=$2, P=$2). (P=$1, P=$1).
- Imagine two competitor firms are deciding whether to advertise their products or not. Advertising costs the firms money, but it also increases sales. If only one of the two firms advertises, that firm will take almost all of the sales. If both firms advertise, or both firms do not advertise, then they will have about half the sales each. Here are their payoffs. Firm A Advertise Don't advertise Advertise 20 20 0 80 * Firm B Don't Advertise 80 0 50 50 a) Find any Nash equilibria in the game. b) Discuss and explain the Pareto-optimality of any equilibria you find. c) Discuss how you might achieve stable Pareto-optimality.Two hotels, Hotel Sandy and Hotel Magda, are competing for a limited number of tourists. The hotels have approval to either expand hotel operations, or add recreational water sports to their offerings. Noone hotel has approval do both of these changes. A research company has determined that the following outcomes are likely:If Hotel Sandy expands, and Hotel Magda adds water sports, Hotel Sandy will increase its market share by 1%, and Hotel Magda will increase its market share by 3%.If Hotel Sandy adds water sports, and Hotel Magda expands, Hotel Sandy will decrease its market share by 5%, and Hotel Magda will increase its market share by 2%.If both hotels add water sports, Hotel Sandy will increase its market share by 4%, and Hotel Magda will increase its market share by 5%.If both hotels expand, Hotel Sandy will increase its market share by 2%, and Hotel Magda will decrease its market share by 5%.Given that both hotels employ game theory, what course of action would each hotel take?If Bean Bruuer advertises, Hatte Latte makes a higher profit if it chooses If Bean Bruuer doesn't advertise, Hatte Latte makes a higher profit if it chooses Suppose that both firms start off by deciding not to advertise. If the firms act independently, what strategies will they end up choosing? Hatte Latte will choose not to advertise and Bean Bruuer will choose to advertise. Both firms will choose not to advertise. Both firms choose to advertise. Hatte Latte will choose to advertise and Bean Bruuer will choose not to advertise. Again, suppose that both firms start off not advertising. If the firms decide to collude, what strategies will they end up choosing? Hatte Latte will choose to advertise and Bean Bruuer will choose not to advertise. Hatte Latte will choose not to advertise and Bean Bruuer will choose to advertise. Both firms will choose to advertise. Both firms will choose not to advertise.