Mike and Sophie are splitting up and need to decide who will get the car they purchased together. Using the method of sealed bids, Mike bids $5,000 and Sophie bids $4,500 for the car. Since Mike's bid is higher, he gets the car, and has to compensate Sophie with cash. How much will he have to pay Sophie in order to keep the division fair?

Jane is interested in buying a car from a used car dealer. Her maximum willingness to pay for thecar is 12 ($12,000). Bo, the dealer, is willing to sell the car as long as he receives at least 9($9,000). What is the Nash bargaining solution to this game?

There are two adjacent coal fields A and B. Under the fields is a common pool of coal worth $12 million. Drilling to extract the coal costs $1 million. If each company drills, each will get half the coal and each will earn a $5 million profit. Either company could drill a second time. If one company has two of the three wells drilled, that company gets two-thirds of the coal, yielding a profit of $6 million, and the other company gets one-third of the coal, for a profit of $3 million. If both companies drill a second well, the companies again split the coal, and each earn a profit of $4 million. What is company A's dominant strategy? Should it drill one well, two wells, or is there no dominant strategy? What is company B's dominant strategy? Should it drill one well, two wells, or is there no dominant strategy? What is the Nash equilibrium?

Suppose you were playing the Split or Steal game for a jackpot of $100,000. Which would you choose: Split or Steal? Explain why