In a two good two trader model, there are 1000 units of commodity-1 and 800 units of commodity-2. Explain what additional information is required to determine the contract curve and the competitive equilibrium (if any). Explain with the help of diagram.
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- 4. )In a pure exchange economy with two goods, G and H, the two traders have Cobb- Douglas utility functions. Suppose that Tony's utility function is U, = G.H; and Margaret's utility function is Um= Gm(Hm)³. Between them, they own 100 units of G and 50 units of H. Solve for their contract curve. Continuing with question 4, determine p, the competitive price of G, where the price of H is normalized to equal one.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?.Using the Surplus Approach, describe how tendencies for concentration emerge from the regular functioning of competition between capitalist firms.
- = Two firms sell substitutable products; the market price is: P = 90-Q, where Q Q₁ + Q₂ is the total market quantity, which consists of Q₁ (the quantity produced by Firm 1) and Q₂ (the quantity produced by Firm 2). The firms choose their quantities simultaneously. Firm 1's costs are C₁ = 10- 6Q₁ +Q². Firm 2's costs are C₂ = Q². Which is the best response function for Firm 2? O O O O Q₂ = 15. 1 Q₂ = 30 - ²0₁₁ 3 Q₂ = 42 + ²³² Q₁₁ 2 = 1. 3 Q₂ = 45. What is the equilibrium market quantity Q? O Q = 15.25. O Q = 30. Q = 46.5. O Q = 50. What is the equilibrium market price P? O P = 90. O P = 60. O P = 43.5. O P = 10.Decide what market structure best represents each of the scenarios listed in the table.Scenario: In the town of Isoville there are two grocery stores: Alfonso’s Ammenities and Bernice’s Bargains. The grocery stores are located at either end of the town, 1km apart. Recently, the manager of Alfonso’s Ammenities has proposed installing new self-service checkout technology, which promises to reduce the cost of each transaction at the grocery store by reducing staffing costs. The new technology is expected to reduce the marginal cost of selling a typical basket of groceries by $3. However, experience in other locations has shown that in about 25% of installations the self-service technology results in a significant increase in shop-lifting. In these cases, the need to hire extra security staff means that the marginal cost of a typical basket only falls by $1.50. Unfortunately, there is no way to know whether extra security will be required until after the new checkouts are installed.The Market: Isoville has 12,000 households, each of which purchases 1 basket of groceries per…
- 5. Given that excess demands are continuous and satisfy Walras' law, use Brouwer's Fixed Point Theorem to establish the existence of competitive equilibrium in a simple exchange economy. Suppose that an apple orchard is located next to a bee keeper. If the orchard produces x apples and the bee keeper produces y honey and the cost functions of the two are as follows: C(x) = x² + 10x +9 C(y) = y² - 8x What will be the socially optimal amount of apples that can be produced? How does this compare to privately optimal amount?Table: Two Rival Gas Stations Speedy Gas High Price. Low Price $100, $100 $150, $25 High Price $25, $150 Swifty Gas Low Price $50, $50 Look at the table Two Rival Gas Stations, which shows a payoff matrix for two gas stations in a small town. Each firm can set either a high price or a low price, and customers view these two firms as nearly perfect substitutes. Profits in each cell of the payoff matrix are given as (Swifty, Speedy). If both firm know that they will play the same game repeatedly for many time, both of them will choose tit-for-tat strategy. After they play the game for 10 times, what will be the Speedy Gas's total payoff for the 10 times: O $100 O $500 O $1500 O $150 O None of these options is correct.Recall the price matching game we discussed in class video. The main conclusion we can draw from this analysis was a. price matching acts like excess capacity because it deters entry into the market b. price matching can result in consumers paying higher than competitive prices c. price matching re-enforces the Nash equilibrium of low competitive pricing d.firms will invest in productive capacity to obtain economies of scale
- Consider a single country and a single good. The demand curve for this good is given by QD = 144 - 4P. Thereare two firms serving the market: Firm A and Firm B, where Firm A has a marginal cost of $20 and Firm B hasa marginal cost of $16. There are no fixed costs incurred by either firm. Assume that these firms compete in Cournot fashion. Part I. How many units of output each firm produces? Show your work. Part II. What is the equilibrium price in the market? Show your work.Part III. How much profit each firm makes? Show your work. Part IV. What is the consumer surplus? Show your work.True/False For each of the following, you MUST indicate whether the statement is TRUE or FALSE and you MUST explain why. 1. 2. 3. 4. 5. A Nash Equilibrium is always Pareto Efficient. When there is production, a Competitive Equilibrium is not always Pareto Efficient due to possible increasing returns to scale. A Prisoner's Dilemma must involve prisoners. This is what makes the model interesting. A Pigouvian Tax to correct for the inefficiencies caused by a negative externality should be corrected by placing the tax between the Private Demand and the Social Demand at the intersection of Supply and Private Demand. To find the Social Welfare Function, simply add up the individual utility functions of each member of society.