Solo 66 At the start of the game, the dealer shuffles the cards and offers them to be cut, he then deals six cards to each player. The remaining two cards are placed face-down in the middle of the table as the talon. The soloist is determined through a bidding process or auction. The player who bids the highest suit as trumps wins the auction. The suits rank, from highest to lowest, in the order: Clubs , Spades , Hearts and Diamonds . In the auction the player to the left of the dealer (forehand) is the first to bid or pass.
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