The following payoff table lists the profits of a buyer and a seller. The seller acts first by choosing a sale price ($9, $8, or $6). The buyer then decides the quantity of the good to purchase (two units, four units, six units, or eight units).
a
. Suppose the buyer and seller transact only once. Does the buyer have a dominant strategy? Depending on the price quoted, what is his best response? What price should the seller set? Explain carefully.