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Consider a Stackelberg duopoly game of quantity competition. Firm #1 is the "Leader" and firm #2 is the "Follower." Market demand is given by the inverse demand function p=1000-4Q.where Q=q1+q2 is the total output of the two firms. The firms have constant unit cost of productionc1 and c2, respectively. That is, the cost function of firm #1 isC(q1)=c1q1 and that of firm #2 is C(q2)=c2q2.
(a) Initially suppose that c1=c2=20. Use backward induction to solve for the subgame perfect Nash equilibrium (SPNE) of this game.(b) Now suppose that firm #1 still has unit cost c1=20, but firm #2 has a lower production cost, that is c2<20. What value wouldc2 have to be so that, in the SPNE, the two firms have the same market share?
Simple linear regression predicting the change in performance (in seconds taken to run a race) for 800m runners by the average hours of training undertaken per week during the pre-season.
If theTrust did agree to fund all costs except the $3 million bond proceeds now available, determine the equivalent annual amount that must be raised in years 4 through 6 to supply all remaining project funds. Assume the Trust will not charge any ..
Derive the rm's marginal product of labor curve. Derive the rm's average product of labor curve. If the rm has an output quota of 5,120 widgets, how many laborers must it employ in the short-run to achieve this level of production?
If the newer equipment is purchased, it will have end-of-year O&M costs of $8,000 and a salvage value of $20,000 at that time. If the old equipment is retained, it will have to be supplemented in years 3, 4, and 5 by leasing a hi-def add-on unit c..
If two people have cardinal utility functions, person1 is Utility = XY and person2 is Utility = (XY)^1/3 which bundle would they find to be best Bundle 1: Has an indifference curve of Y = 1/X
How much does the economy have to grow (potential output is, 3.5% and the unemployment rate is 7.3%) in 2014 to bring the unemployment rate down to 5%? How much does it have to grow each year to bring the unemployment rate down to 5% by 2017.
A depository institution holds $150 million in Required Reserve and $10 million in Excess Reserves. Its remaining assets include $440 million in Loans and $150 million in Securities. If the institution's only liabilities are transaction deposits, ..
Suppose that Saudi Arabia lets other members of OPEC sell all the oil they want at the existing price which the Saudis set and other members accept. The daily world demand for OPEC oil is given by:P = 88 2Q
What is the expected value and variance of R b. You are considering investing $150 in this asset. After 1 year, the value will be $150(1+R). What is the expected value and standard deviation of the value of your asset in 1 year
Compute the discount factor 1/(1+r)^t for r=1, 5, or 10 perent interest rates and t=30 and 50 years. remember that 1 percent is .01. based on your computation, is teh choice of discount factor important for deciding whether to do somehtinga bout..
Imagine you are a consultant hired to give advice to a fast food restaurant which is faced with employees asking for a 25% increase in pay. In order to give good advice, you need more information. Create three to four (3-4) questions that you woul..
Choose two firms from different industrial sectors, e.g. high tech computers, health, customer non durables, cyclical etc.
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