Essentials Of Economics, Loose-leaf Version
8th Edition
ISBN: 9781337096898
Author: N. Gregory Mankiw
Publisher: South-Western College Pub
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Chapter 12, Problem 5PA
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3. Consider a course allocation problem with strict and non-responsive preferences. Isthere a mechanism that is efficient and strategy-proof? If so, state the mechanismand show that it satisfies efficiency and strategyproofness. {hint serial dictatorship and show using example}4. Consider a course allocation problem with responsive preferences and at least 3students. Is there a mechanism that is efficient and strategy-proof that is not theSerial Dictatorship? If so, state the mechanism and show that it satisfies efficiencyand strategyproofness.5. Suggest a mechanism for allocating students to courses in a situation where preferences are non-responsive, and study its properties (efficiency and strategyproofness). Please be creative
3. Consider a course allocation problem with strict and non-responsive preferences. Isthere a mechanism that is efficient and strategy-proof? If so, state the mechanismand show that it satisfies efficiency and strategyproofness. {hint serial dictatorship}4. Consider a course allocation problem with responsive preferences and at least 3students. Is there a mechanism that is efficient and strategy-proof that is not theSerial Dictatorship? If so, state the mechanism and show that it satisfies efficiencyand strategyproofness.5. Suggest a mechanism for allocating students to courses in a situation where preferences are non-responsive, and study its properties (efficiency and strategyproofness). Please be creative
2. a) Consider a market where one firm (firm 1) currently produces, but a second firm (firm 2) is intending to enter and sell an identical product. The market has inverse demand given by p = 40 – Q, where Q is the total output sold in the market. Firm 1 has a marginal cost of 16 and firm 2 has a marginal cost of c < 16, with no fixed cost for either firm. Firm 2 has a choice of competing on price or quantity, with firms making their choices simultaneously (i.e. the market will be either a Bertrand or Cournot duopoly). If you were advising firm 2 on entering this market, how would you advise it to compete? To what extent would the size of firm 2’s cost advantage affect your advice?
b) Now assume that firm 2 is aware that other firms are considering entering the market, so the market may over time change from a duopoly to an oligopoly with more than two firms. This would not change the nature of competition (i.e. any additional firms would set price or quantity in line with the first…
Chapter 12 Solutions
Essentials Of Economics, Loose-leaf Version
Ch. 12.1 - Prob. 1QQCh. 12.2 - Prob. 2QQCh. 12.3 - Prob. 3QQCh. 12.4 - Prob. 4QQCh. 12 - Prob. 1CQQCh. 12 - Prob. 2CQQCh. 12 - Prob. 3CQQCh. 12 - Prob. 4CQQCh. 12 - Prob. 5CQQCh. 12 - Prob. 6CQQ
Ch. 12 - Prob. 1QRCh. 12 - Prob. 2QRCh. 12 - Prob. 3QRCh. 12 - Prob. 4QRCh. 12 - Prob. 5QRCh. 12 - Prob. 6QRCh. 12 - Prob. 7QRCh. 12 - Prob. 8QRCh. 12 - Prob. 1PACh. 12 - Prob. 2PACh. 12 - Prob. 3PACh. 12 - Prob. 4PACh. 12 - Prob. 5PACh. 12 - Prob. 6PACh. 12 - Prob. 7PACh. 12 - Prob. 8PACh. 12 - Prob. 9PACh. 12 - Prob. 10PA
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- 1. Consider two firms (i=1,2) interacting in the market. Assume that firms compete in quantities and therefore they choose either to cooperate or not in each round. If a firm deviates it earns monopoly profit for a round and a punishment phase will follow from next round onwards (for ever) where both firms choose the Cournot quantity. Assume a discounting factor & and that firms meet in the market in every period. The demand facing the industry is p = 1 92. Let Q = q1 + 92 denote the aggregate industry output - 91 - level. Assume further that production is costless.arrow_forwardQ4 (30 points) Subsidy in Auctions Consider a sealed-bid second-price auction with two bidders. Valuation of bidder 1 is drawn from the uniform distribution on [0, 100], and valuation of bidder 2 is independently drawn from the uniform distribution on [0, 300].arrow_forward$ A C ° Output Refer to the diagram, which pertains to a purely competitive firm. Which of the following statements is most accurate?arrow_forward
- not use ai please don'tarrow_forwardnot use ai pleasearrow_forwardFigure: Demand 3 If the two-firm oligopoly facing the market in this diagram is currently producing at the competitive output level and one of the firm reduces output by 4 units, the firms' profits would increase from 564596. O50524 50 to $48 O532 548arrow_forward
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- not use ai pleasearrow_forward1. Lisa has $48 per week set aside for coffees (x) and lunches (z). The price of coffee is $4 and lunches are $6. What is Lisa's budget line equation (with z on the left-hand side)? Graph the budget line, and show how it changes when the price of lunches rise to $8 (including intercepts). What is the new budget line equation? 2. Suppose utility for a consumer of movies (x) and golf (z) is U = 20x0.420.5. The consumer has set aside $1000 to consumer movies and golf for a year. a. If the price of movies is $20 and the price of golf is $40, what is the utility-maximizing consumption of movies and golf? b. Show the optimal consumption bundle on a graph, showing a budget line (with intercepts), a tangent indifference curve, and the optimal choice. 3. Sam has set aside $480 for entertainment this month, which is golf (x) and/or bowling (z). A round of golf is $40 and a night of bowling is $30. His utility function is U = 3x + 2z. a. What is his MRS? b. Solve for the optimal choice of golf…arrow_forwardQuestion Seven There are specific applications of the hidden-action or moral hazard model. Consider employment contracts signed between a firm's owners and a manager who runs the firm on behalf of the owners. The manager is offered an employment contract which they can accept and decide how much effort, e ≥ 0, to exert. Suppose that an increase in effort, e, increases the firm's gross profit, not including payments to the manager, but is personally costly to the manager and the firm's gross profit, Пg, takes the following form: Пg = e +ε, ε~N(0,2). Let s denote the salary, which may depend on effort and/or gross profit, depending on what the owner can observe, offered as part of the contract between the owner and manager. Suppose that the manager is risk averse and has a utility function with respect to salary of the form: Aσ² U(W)=μ- 2 a) Derive the optimal result of the owner's expected net profit where there is full information and state what it implies. b) Suppose now that the…arrow_forward
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