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You must completely answer the following questions as well as supply proof of your assertion that your chosen locations are Nash equilibriums as well as the Socially Optimal location. So a statement that a point is Nash equilibrium (NE) without proof will be considered wrong. Note: There can situations where 1 NE exists or no NE exists, so be careful. When you answer the question, the diagram I used in class will be Very helpful in getting your point across to me.
Consumers are located uniformly along a straight 1 mile road that leads from the one end of town to the other (no cross roads exists). Each consumer wants to buy one unit of a good from an existing store. The transportation cost or the cost of walking to an individual firm is proportional to the distance the consumer must travel to the store (i.e. If the consumer is located at the point .4 and the store is located at 1, the cost of transportation is 0.6). The law prohibits competition between the stores through price so that the same good must be sold at the each store for the same price. The only way to compete within the model is through the choice of location along the 1 mile stretch of road. The profits received by any store are only determined by the number of customers each store receives due to its location. This implies that if multiple stores locate at the same location, they split the profits (or customers) evenly.
Definitions:1) Nash equilibrium-any combination of strategies in which each player's strategy is his or her best choice, given the other players' choices.2) Socially optimal-a combination (choice of placement of store) that minimizes the cost to the individual consumers located on the road.
The cross-tabulation below classifies US states by median household income and by household Gini coefficient (a measure of income inequality). Use the cross-tabulation to answer the questions that follow.
They want to deposit the sum in an account that earns 8% compounded continuously. Beginning when she turns 6 and ending when she turns 21, how much should they deposit on each birthday if she is to get $28,000 on each birthday from her 21st to her..
A new chemical remediation tank is needed. Current technology tanks, which costs $150,000, MUST BE DRAINED AND TREATED EVERY TWO YEARS AT A COST OF $30,000; THE TANKS WILL LAST TEN YEARS, AND EACH WILL HAVE A SALVAGE VALUE OF 5%. OF FIRST COST.
Design a simple econometric research project
The Manchester Athlete's Club (MAC) is a private, not-for-profit athletic club located in St. Petersburg, Florida. MAC currently has 3,500 members but is planning on a membership drive to increase this number significantly. An important issue faci..
Suppose that the most popular car dealer in your area sells 10 percent of all vehicles. If all other car dealers sell either the same number of vehicles or fewer, what is the largest value that the Herfindahl index could possibly take for car deal..
Suppose the firms play this game for five years in a row, and they know that at the end of five years, both firms plan to go out of business. What is the sub game-perfect equilibrium for this five-period game.
Determine the present worth of the project, including both costs and incomes. 3. Determine the annual worth of the project, including both costs and incomes. (using present worth and mulitply it by the appropriate A/P) 4. Is the project worth while..
Each society in the nation is suddenly responsible for designing its own local commodity based financial system, and you have been assigned the task of selecting what commodity your society will use and how it will be implemented.
A purchasing agent for a trucking company is shopping for replacement tires for their trucks from two suppliers. The suppliers' prices are the same. However, Supplier A's tires have an average life of 60,000 miles with a standard deviation of 10,0..
The cost of extending a certain road is $850,000. Resurfacing and other maintenance are expected to cost $175,000 every 3 years and lasts for 96 years. What is the present worth of the road at an interest rate of 6% per year (over that period)
If the government imposed a minimum wage of w=70, what would be the resulting quantity of labor employed, the wage, and the welfare loss. Also, calculate the change in welfare compared to the free market outcome (i.e., in the absence of minimum w..
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