Thursday, July 19, 2012


The thirty cards needed to play The Nash Card Game. Number, not suit, is all that matters in the game.












Cards dealt, ready for the game to start. The players each have a hand of five cards. On the left of the table are the three draw stacks, on the right the three face down cards, which players will attempt to guess the values of throughout the game.









The first draw stack has been exhausted and the players are about to guess the value of the first of the face down cards. Looking at our hand we can see it will not be a 9 and is unlikely to be a 6 or 5.










It was an ace!














All the draw stacks have been exhausted and the players are about to guess the value of the last card. Looking at our hand we can see it will not be a 10, 7, 6, 4 or ace. We also know from the cards we have previously seen that it will not be a 9. What do you think the last card is?









It was a 5!














The three face down cards have been revealed - an ace, a 2 and a 5.













The three face down cards and both players hands at the end of the game.

Monday, July 2, 2012

The Nash card game

Object of the game

The object of the Nash card game is to guess the value of one of three face-down cards. The Nash card game is played with a single, regular pack of playing cards and can be played with two or three players.

The Nash card game is a test of genius. To win the game requires sound judgement of probability, good memory and only a small amount of luck.

How to play the game with two players

1. Take a pack of cards. Remove all jokers, remove all face cards (jacks, queens and kings), remove one entire suit. You should now have three suits containing ace to ten. In the Nash card game, aces are low and suit is unimportant: cards are judged on their value (1-10) only.

2. After thoroughly shuffling the remaining cards, place the top three cards face-down in the centre of the table. Be very careful that neither player sees any of these three cards – the object of the game will be to guess these cards’ value.

3. Deal five cards to each player.

4. Deal the remaining cards into three stacks of five cards; once this is done there will be two cards remaining, which are then added to the first of these three stacks. You will now have three stacks of cards, these are the draw stacks. The first draw stack has seven cards, the second and third draw stacks each have five cards.

5. You are now ready to start playing. Select one player to start on the basis of attractiveness.

6. To begin the game, the starting player (Player A) takes one card from the top of the first draw stack and adds it to their hand.

Player A then asks the other player (Player B) if they have any cards of a value of their choice (for example, A might ask B: “Do you have any fours?”). If B has any cards of this value, they must immediately place ALL the cards they hold of this value face-up on the table in front of them. A then picks the face-up cards up and adds them to their hand.

However, if B does not have any cards of the value requested by A, B then takes ONE of A’s cards. Cards taken this way are chosen at random (no player is ever able to see the other player’s hand) and added to the player’s hand without first being placed face-up on the table.

A’s turn is now over and B can start their turn.

7. B’s turn is exactly the same as A’s – they start by taking one card from the top of the first draw stack and adding it to their hand. They then ask A if they have any cards of a value of their choice (e.g.: “do you have any nines?”) and either collect face-up cards, or, if A does not have any cards of this value, surrender one of their cards, chosen at random, to A.

8. The players continue taking turns in this way, until all the cards in the first draw stack have been taken into their hands.

When the final card is taken, the player who has taken it still completes their turn by asking the other player if they have any cards of a value of their choice.

9. At this point the player whose turn is next does not take a card from a new draw stack. Instead, after considering the cards they have in their hand and the cards they remember passing to the other player, they guess the value of one of the three face-down cards in the centre of the table. After they have declared their guess, the other player then guesses the value of the same card – and may not guess the same value.

10. The face down card that the players have attempted to guess the value of is then turned over. If one player has correctly guessed its value, they win the game instantly.

However, if neither player has correctly guessed the value of the card, the player who has made the closest guess (e.g. if the card is an eight, a guess of seven is closer than a guess of five) takes THREE cards from the top of the second draw stack, before continuing the game, as before, by asking the other player if they have any cards of a value of their choice.

If the players’ guesses are equally close to the value of the card (for example, if A guesses four and B guesses six, then the card is revealed to be a five), then the player who started the game (A) takes TWO cards from the top of the second draw stack and the other player (B) takes ONE, then continues their turn by asking A for a card of a value of their choice.

12. Once all the cards in the second draw stack have been picked up, the players will again attempt to guess the value of one of the remaining cards, following the same rules as before, with the game either being won or the player who made the closest guess taking three cards from the third draw stack.

13. Once all the cards in the third and final draw stack have been taken the players will guess the value of the final face-down card. The player whose turn it is guesses first.

At the end of the game the players are allowed to guess the same value. Thus the game can end with both players winning, both players losing, or one player winning.

How to play the game with three players

The Nash card game is played in almost exactly the same way with three players as with two. The only differences are:

1. All four suits are used, instead of only three (the deck therefore comprises of four suits containing ace to ten). The draw stacks will be slightly different sizes – the first draw stack should have eight cards, the second and third draw stacks should have seven cards each.

2. When a player asks for cards from the other players, they ask both players simultaneously (for example, they might ask: “Do either of you have any fives?”). Both the other players must surrender all of their cards of the value asked for, laying them face up on the table – so all the players can see them – before the player who asked takes the cards into their hand.

If neither player has any of cards of the value asked for, BOTH other players take one card each from the asking player’s hand.

If one player has cards of the value asked for, but the other does not, the asking player takes the face up cards and does not have to surrender any cards to the player who had no cards of that value.

If the Nash card game is too easy for you…

The Nash card game is fun to play but most players will struggle to win more than 50 percent of their games.

If, however, you are fortunate enough to be blessed with significant mathematical ability and have mastered the basic Nash card game, play can be made more difficult by the addition of the face cards (jack, queen and king). The game will become progressively more difficult as more cards are added.

Feedback

I would be very interested to hear your opinions of the Nash card game, to answer queries, to receive suggestions and to have faults pointed out. Please email me at edtobynash (at) yahoo (dot) co (dot) uk.

Design

The Nash card game was invented by Ed Nash and perfected with the assistance of Gemma Donovan.