Skat

Skat is a sophisticated trick-taking card game played with a piquet pack or an equivalent 32-card pack with German suits. It is reputedly one of the best 3-player games. Skat was invented in Altenburg, Germany in the early 19th century. By the end of World War I it had become Germany's national game.

The official standard rules for all countries are defined in the International Skat Order, after the Deutscher Skatverband and the International Skat Players' Association harmonized their regulations in 1998. Locally played rules often reflect an earlier stage in the game's development or add further features.

Cards, players, and overall structure

Point-values of cards

Rank	A	10	K	Q	J	9	8	7
Value	11	10	4	3	2	0	0	0
	high cards		court cards			low cards

The game is played with a pack of 32 cards consisting of Ace, Ten, King, Queen, Jack, 9, 8 and 7 in four suits. The game is most commonly played with French-suited cards, although in some regions in Germany and Austria German-suited cards are preferred. The cards carry values as shown in the table, for a total of 120 card points. It can be observed that the 12 low cards have no point value at all, while 84 of the game's 120 card points are concentrated in the 8 high cards. Only the 12 court cards have point values close to the average.

Skat is generally played clockwise and for a full number of rounds. A round consists of 3 plays; it finishes after each player has dealt once. For each play, the dealer deals 10 cards to each player and deposits 2 cards face down in the middle as the skat. The dealer must follow the scheme 3–skat–4–3.

The players now bid for the privilege of choosing a contract and playing as a soloist against the party consisting of the other two. At the end of the play either the soloist or the opposition players will win, and the play will have a certain value that depends on the contract, the card points won by the respective parties, and several other factors. To keep the contract, the soloist must win the play and the value of the play must be at least as indicated by the bid. In this case the soloist scores the value of the play. A soloist who loses the play or who wins a game whose value is below the bidding value loses twice the value of the play or twice (an approximation to) the bidding value, whichever is higher.

The main purpose of the complicated bidding and scoring rules is to encourage the choice of a moderately risky contract. Among skilled skat players, all but the most extreme card distributions lead to interesting plays. Moreover, the alternation between playing alone and playing in various teams gives the game variety beyond that of most other auction games.

Suit contracts

Card ranks

Trump suit
J♣	J♠	J♥	J♦	A	10	K	Q	9	8	7
Plain suits
				A	10	K	Q	9	8	7
				A	10	K	Q	9	8	7
				A	10	K	Q	9	8	7

The soloist may announce a suit contract in any of the four suits. All four Jacks are trumps and full members of the trump suit. The card ranks within the trump suit are as shown in the table. Thus the highest trumps are always the Jack of clubs, Jack of spades, Jack of hearts and Jack of diamonds (in this order), followed by the Ace of trumps etc. As a result, one third of the cards (11 out of 32) are trumps, and the trump suit has considerably more cards than any of the three plain suits (11 vs. 7).

The soloist has the privilege of picking up the skat and discarding any two of the resulting 12 cards. The two discarded cards count towards the soloist's total card point score. This is a good opportunity to discard a single Ten in a suit in which the soloist does not hold any other cards. Two discarded Aces or Tens contribute one sixth of the total card points towards winning the play, a substantial contribution.

Regardless of who won the auction and announced the contract, forehand (the player to the dealer's left) leads to the first trick. Players must follow suit whenever possible. A player who cannot follow suit may play any other card. The trick is won by the party that played the highest trump. If the trick does not contain a trump, it is won by the party that played the highest card of the suit led.

Generally it is an advantage for the opposing players if the player to the soloist's right leads. In this case the first opposing player can try to lead with a plain suit which their partner does not hold. The partner can then react very flexibly after seeing the card played by the soloist. It is much more tricky if the player to the soloist's left leads. A rule of thumb at the beginning of the game is "long path – short suit". Long path" refers to the path from the leading player to the soloist, the partner being in the way. "Short suit" is the recommendation that the leading player lead with a suit of which they hold only few cards.

After the last trick the parties count their card points and check that the total is 120. The soloist must win more than half of the card points, i.e. at least 61 points, to win the play. Otherwise the opposing players win the play. If one of the two parties scored 30 card points or less, the play is called schneider. If one of the parties won all tricks and the other none, the play is called schwarz. Since the two cards discarded by the soloist at the beginning have a maximal card value of 22 points, schneider implies schwarz.

Base values

♣ 12

♠ 11

♥ 10

♦ 9

The value of the play is determined by the formula

value = base value × (tops + multiplier).

The base value (see table) depends on the chosen trump suit. The tops are the top trumps. A play is said to be with n tops if the soloist's 12 initial cards included the highest n trumps, starting with the Jack of clubs, but not the next one. It is said to be without n tops if the soloist's 12 initial cards included none of the highest n trumps. The multiplier is 1 for a game that is not schneider, 2 for a play that is schneider but not schwarz, and 3 for a play that is schwarz.

Example

The player who won the auction holds Ten, King, Queen, 9, 8, 7 of hearts but no Jacks, and for some reason wants to play hearts. Ignoring schneider and schwarz, the player expects the play's value to be 10 × (1 + 5) = 60. The player now picks up the skat and finds the Jack of clubs. What was planned as a play without 5 tops becomes a play with 1 top. Again ignoring schneider and schwarz, we can expect a value of 10 × (1 + 1) = 20.

Hand contracts

The soloist may decide not to pick up the skat, thereby increasing the game value. In this case the player has less information about total card distribution and the expected value of the play. Except for the higher play value, the skat is treated as if the soloist had picked up and discarded the two cards.

Skat for more than 3 players

An individual game is always played by exactly 3 players. In the case of more than 3 players the dealer does not participate in the game itself; only the 3 players to the dealer's left do.