Rubber bridge they must play a card of the suit led if they have one. A player who has no cards of the suit led may play any card either discarding or trumping. A trick is won by the highest card of the suit led unless trumps are played, when the highest trump wins. The winner of the trick leads to the next trick. The main article includes a detailed description of rubber bridge scoring with examples. Essentially, each winning bid's value is scored "below the line" (e.g., 3 Spades nets 90 points below the line) and overtricks, bonuses, etc. are scored
Vickrey auction payment in the sealed second-price auction. Vickrey considered the case of two buyers and assumed that each buyer's value was an independent draw from a uniform distribution with support formula_15. With buyers bidding according to their dominant strategies, a buyer with valuation formula_12 wins if his opponent's value formula_17. Suppose that formula_12 is the high value. Then the winning payment is uniformly distributed on the interval formula_19 and so the expected payment of the winner is We now argue that in the sealed first price auction the equilibrium bid of a buyer with valuation formula_12 is That is, the payment