# Question: Two companies each own property and mineral rights in an

Two companies each own property (and mineral rights) in an oil field. Each firm therefore has the legal right to drill for oil on its land and take out as much oil as it can. The problem, of course, is that one company’s actions affect how much oil the other can produce. The following matrix represents how each of these companies views the situation. The terms outside the matrix represent oil output by each firm (low, medium or high), while the numbers in each cell show the present value of all oil to be extracted by each company, given the two extraction policies. The first number represents the value to Company A, and the second number represents the value to Company B. As an example, if Company A pumps at a “low” rate and Company B pumps at a “low” rate, then the value to Company A of all the oil it expects to take over the life of the field is $ 100 while the value to Company B of its oil is $ 8.

a. What extraction rates maximize the total value of the oil field?

b. Do the extraction rates maximizing the value of the field represent a stable situation? Explain.

c. Is there a dominant strategy (extraction rate) for either or both players? Explain.

d. Is there a Nash equilibrium set of extraction rates? If so, does it maximize the total value of the oil field?

e. Is there a mutually beneficial exchange inherent in this matrix—one that could solve the problem these two companies face? If Company A were to purchase Company B’s oil rights, how much would it have to pay? Is this a feasibletransaction?

a. What extraction rates maximize the total value of the oil field?

b. Do the extraction rates maximizing the value of the field represent a stable situation? Explain.

c. Is there a dominant strategy (extraction rate) for either or both players? Explain.

d. Is there a Nash equilibrium set of extraction rates? If so, does it maximize the total value of the oil field?

e. Is there a mutually beneficial exchange inherent in this matrix—one that could solve the problem these two companies face? If Company A were to purchase Company B’s oil rights, how much would it have to pay? Is this a feasibletransaction?

## Answer to relevant Questions

Economist Bill Samuelson suggests a problem centering around three air carriers competing for passengers on a given city-pair route. Namely, the fare that can be charged on the route is fixed at $ 225, while the size of the ...What factors (other than the wage rate) affect the amount of labor a firm that operates in perfectly competitive output markets will hire? How will a change in each of these factors affect the firm’s demand curve for labor?Rank the following labor supply curves in terms of their elasticities. How does your answer depend on whether you consider short-run or long-run supply curves? Explain your answer.a. The supply of economists to the federal ...Edie chooses to work 90 hours per week when the wage rate is $ 16 per hour. If she is offered time-and-a-half ($ 24 per hour) for “overtime work” (i. e., hours in excess of 90 per week), will she choose to work longer ...“Proponents of minimum wage laws stress society’s obligation to act through its elected representatives to ensure an adequate standard of living for all working citizens.” Evaluate the extent to which minimum wage laws ...Post your question