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Economics EXERCISE 8.3 MAXIMIZING THE SURPLUS

Consider a market for the tickets to a football match. Six supporters of the Blue team would like to buy tickets; their valuations of a ticket (their WTPwillingness to pay (WTP) An indicator of how much a person values a good, measured by the maximum amount he or she would pay to acquire a unit of the good. See also: willingness to accept.closewillingness to pay (WTP) An indicator of how much a person values a good, measured by the maximum amount he or she would pay to acquire a unit of the good. See also: willingness to accept.close) are 8, 7, 6, 5, 4, and 3. The diagram below shows the demand ‘curve’. Six supporters of the Red team already have tickets, for which their reservation prices (WTAwillingness to accept (WTA) The reservation price of a potential seller, who will be willing to sell a unit only for a price at least this high. See also: willingness to pay.closewillingness to accept (WTA) The reservation price of a potential seller, who will be willing to sell a unit only for a price at least this high. See also: willingness to pay.close) are 2, 3, 4, 5, 6, and 7. 


  1. Draw the supply and demand ‘curves’ on a single diagram (Hint: the supply curve is also a step function, like the demand curve). Suppose all trades are to take place at a single price as in a competitive market where buyers and sellers are price takers.

  2. Show that four trades take place in equilibrium.

  3. What is the equilibrium price? 


4. Calculate the consumer (buyer) surplus by adding up the surpluses of the four buyers who trade. 

. Similarly calculate the producer (or seller) surplus. 

6. Hence, find the total surplus in equilibrium. 

7. Now suppose that the market operates through bargaining between individual buyers and sellers. Find a way of matching the buyers and sellers so that more than four trades occur. (Hint: suppose the highest WTP buyer buys from the highest WTA seller.) 

8. In this case, work out the surplus from each trade. 

9.How does the total surplus in this case compare with the equilibrium surplus?

 10.Starting from the allocation of tickets you obtained through bargaining, in which at least five tickets are owned by Blue supporters, is there a way through further trade to make one of the supporters better off without making anyone worse off?

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