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- Consider a coastal economy served by two (2) fishing firms. There is only one type of fish that is harvested. All firms send their boats out at the same time and they compete on quantity. Demand given by P = 200 – Q and each firm has a constant marginal cost of $20. There are no fixed costs. a. Using the appropriate model, what will be an individual firm’s quantities and profits? b. Suppose that Firm 1 adopts a new production technology that reduces his marginal cost of production from $20 to $10. Firm 2 does not adopt the technology and continues to have a marginal cost of $20. What will be the new quantity and profit outcomes? How has the technology affected the relative position of Firm 1 and Firm 2 in the market?COURSE: MICROECONOMICS - Cournot Model:In the market for a given good there are only 2 firms satisfying the demand, and their respective total cost functions respond to the form: CTi = 10Qi + 5 and the demand is estimated to be: P = 31 - QIf the decision variable for both firms is that the quantity they will produce and realize will be decided simultaneously it is asked to:(a) calculate the profit and reaction function of each firmb) graph market equilibriumc) calculate the profits that both companies will obtain in equilibrium6.What best describes the example/instance for building a model to identify cross-sell opportunities (trying to convince people to adopt a new product category - say jewelry - that they have not bought in before)? A. Any current customer. B. Any new customer who might be interested in jewelry. C. All current customers who up to a certain point in time have NOT bought in the jewelry category. D. All current customers who up to a certain point in time have NOT bought in the jewelry category but did buy jewelry in the next time frame.
- a) Derive a bid-rent function for a "typical" firm. Draw a graph of the bid-rent function that is clearly labeled, including any intercepts or slopes.b) For a typical city, discuss what types of firms you are likely to see closest to downtown, and what types of firms you are likely to see further away. Do these firm locationsfit the model? Why or why not?c) Are these firms likely to change locations after covid? Why or why not?.Suppose you are the economic adviser ofa company producing three brands of mobile pnones;Nokia 10, Samsung X and iPhone 7. Suppose further that, your company currently sells 120units of iPhone Z at e800 per unit, 150 units of Samsung X at e800 per unit and 200 units ofNokia 10 at e100 per unit, but in a bid to maximize profit, the company's managing directorproposes an increase in price of Samsung X from e800 to e1000 per unit for which quantitydemanded is anticipated to fall from 150 to 100 units; iPhone Z from e800 to e 1200 per unitfor which quantity demanded is anticipated to fall from 120 to 100 units; and Nokia 10 from100 to 200 per unit for which quantity demanded is expected to fall from 200 to 100 unitsUsing the mid-polint formula. compute the price elasticity of demand for each brand.From your answer in i, what is the type and economic interpretatiom of each brand'sii.value of elasticity.1) What are the Nash equilibria? Which one is unreasonable/non-credible threat? 2) What are the subgame perfect Nash equilibria? Does SPNE concept eliminate the unreasonable Nash equilibrium?
- Firms J and K produce compact-disc players and compete againstone another. Each firm can develop either an economy player (E)or a deluxe player (D). According to the best available marketresearch, the firms’ resulting profits are given by the accompanyingpayoff table.a. The firms make their decision independently, and each is seeking itsown maximum profit. Is it possible to make a confident predictionconcerning their actions and the outcome? Explain.Firm KE DE 30, 55 50, 60 Firm JD 40, 75 25, 50b. Suppose that firm J has a lead in development and so can move first.What action should J take, and what will be K’s response?c. What will be the outcome if firm K can move first?You and your rival must simultaneously decide what price to advertise in the weekly newspaper. If you each charge a low price, you each earn zero profits. If you each charge a high price, you each earn profits of GH¢3. If you charge different prices, the one charging the higher price loses GH¢5 and the one charging the lower price makes GH¢5.i. Find the equilibrium when there are no repeated transactions.ii. Now suppose there are repeated transactions. How would that change the results?In a typical product mix model, where a companymust decide how much of each product to produceto maximize profit, there are sometimes customerdemands for the products. We used upper-boundconstraints for these: Don’t produce more than youcan sell. Would it be realistic to have lower-boundconstraints instead: Produce at least as much as isdemanded? Would it be realistic to have both (wherethe upper bounds are greater than the lower bounds)?Would it be realistic to have equality constraints:Produce exactly what is demanded?
- Suppose we have a Hotelling model with N = 150 people who consider the good very valuable at V = $1000 so all consumers will buy from one store or the other, transport costs are t = $25 a mile. We have two competing firms at opposite ends of the road. Firm 2 is located at 0 and firm 2 at 1. Let marginal cost of production be $3. show that: D1= 150(p2 - p1 + $25)/50 Profit1= 3(p1 - 3)(p2 - p1 + 25)Subject: Manegerial economic & policy Q#1) In your answer to each part below, include references to specific games discussed in thechapter as appropriate.a. If a game has a dominant strategy equilibrium, does it have a Nash equilibrium?b. If a game has a Nash equilibrium, does it have a dominant strategy equilibrium?c. If one firm has a dominant strategy, can another firm take advantage of that fact in decidingon its optimal strategy?d. Can a game have more than one dominant strategy equilibrium? Can a game havemore than one Nash equilibrium?While grading a final exam, an economics professordiscovers that two students have virtually identical answers.She is convinced the two cheated but cannot prove it. The professorspeaks with each student separately and offers the followingdeal: Sign a statement admitting to cheating. If both studentssign the statement, each will receive an “F” for the course. Ifonly one signs, he is allowed to withdraw from the course whilethe other student is expelled. If neither signs, both receive a “C”because the professor does not have sufficient evidence to provecheating.a. Draw the payoff matrix.b. Which outcome do you expect? Why?