How to Play

Gops (Game of Pure Strategy, Goofspiel) is a two-player game with no luck and no hidden information after setup. One suit is the prize pile; each player holds another suit as bidding chips. Across 13 rounds, players simultaneously bid one card to win the revealed prize card; highest bid wins.

Gops (short for Game of Pure Strategy, also Goofspiel) is a two-player game with no luck and no hidden information after setup, a staple example in introductory game theory. The diamonds are the prize pile, and each player holds the 13 cards of one other suit as bidding chips. On each round a diamond is revealed and both players secretly bid one card from their hand; the higher bid wins the diamond's face value. After 13 rounds the player with the most diamond value wins. A game takes 5 to 10 minutes and is almost pure psychology: the optimal theoretical strategy involves randomised mixed strategies.

Players

2 players in the classic version; 3- and 4-player variants exist using extra decks (see Variations). Each player is opposed to every other player individually; there are no partnerships. A first mover is not needed because all plays happen simultaneously; a dealer is not needed either, but one player usually manages the prize deck.

Card Deck

One standard 52-card deck, no jokers. The four suits have specific roles: one suit (commonly diamonds) is the prize suit, shuffled face-down and used to reveal prizes one per round; two other suits (commonly clubs and spades) are the two players' hands. The fourth suit (hearts) is not used in a 2-player game. Within each hand, cards rank Ace (low, value 1) through King (high, value 13); the rank of a card you bid is compared numerically against your opponent's bid card.

Objective

Accumulate more diamond-value points than your opponent. The 13 diamonds together sum to 91 points (1 + 2 + ... + 13); each player bids their 13 hand-cards once each across 13 rounds, and whoever holds more than 45 points of diamonds at the end wins.

Setup and Deal

1. Separate the 52-card deck into its four suits.
2. Shuffle the prize suit (diamonds) thoroughly and place it face-down between the players as the prize deck.
3. Give one player all 13 cards of the clubs suit as their hand; give the other player all 13 cards of the spades suit as their hand. Hands are kept secret; each player arranges their own cards however they like.
4. Set aside the hearts suit; it is not used in the 2-player game.
5. No further dealing occurs; the game is fully set up and the 13-round bidding begins.

Gameplay

1. Prize reveal: Flip the top card of the prize deck face-up between the two players. This card's rank determines the value of the prize (Ace = 1 point, 2 = 2, ..., 10 = 10, Jack = 11, Queen = 12, King = 13).A♠K♠Q♠J♠
2. Simultaneous secret bid: Each player chooses one card from their hand, places it face-down in front of themselves, and when both are ready (on a three-count, or after both have declared 'ready'), both cards are flipped face-up at the same moment.
3. Resolving the bid: The player whose revealed card has the higher rank wins the prize card and collects it into their score pile. The other player does not win the prize; both revealed cards are discarded face-up at the side of the table.
4. Tie-breaking on bids: If both players reveal cards of the same rank, there is a tie. Standard rule: the prize card is discarded (no one wins it), and both bid cards are still spent. Alternative rule (agree before play): the tied prize card is carried over to the next round, making the next prize's effective value the sum of the carry-over and the new reveal. Choose one tie rule and stick with it throughout.
5. Next round: Flip the next prize card and repeat. After 13 rounds every card of the prize suit has been resolved and both players have used every card of their hand.
6. Illegal play: Playing a card that is not in your hand, playing two cards, or failing to play are all illegal; the game's integrity depends on strict simultaneous reveals with no information leakage.

Scoring

• Per round: The winner collects the revealed diamond card; its rank (1 through 13) is the point value. No partial credit for the losing bid.
• Per game: After all 13 rounds, add up each player's diamond totals. The larger total wins; values greater than 45 are winning (45.5 is the midpoint of 91).
• Ties (overall): If both players end on exactly 45 points (rare, possible when several ties discarded the prize), the game is a draw. Play another round or declare a shared victory by agreement.
• Match format: Play a best-of-three or best-of-five for a longer session; no running score is kept between games.

Winning

• Game winner: The player with more diamond points after all 13 rounds.
• Draw: A 45-45 split (with 1 point worth of diamonds discarded on a tie round) or equivalent is possible; replay or share victory.
• Tie-breakers (match format): In a tournament, multiple games settle matches; an overall draw after the agreed number of games can be resolved with a single extra game or by comparing total scores across the match.

Common Variations

• Three-player Gops: Add a third player holding the hearts suit; all three bid simultaneously; highest bid wins each diamond.
• Four-player Gops: Requires a second deck. One player holds hearts, another uses a suit from a second deck, and a different suit again as the prize.
• No-tie-discard: Ties carry the diamond value to the next prize; makes every bid matter more.
• Multi-card bid: Each round, players secretly commit two cards; sum of the two ranks determines bid strength. Changes the strategy toward reserve management.
• Open prizes: Reveal multiple prize cards at once; winners choose which to take in order of bid strength.
• Fixed prize order: Instead of shuffling, reveal prizes in a known order (e.g., Ace, 2, 3, ..., King). Transforms the game into a pure combinatorial puzzle.A♠K♠

Tips and Strategy

• The mathematically optimal strategy requires randomising bids; at the perfect mixed-strategy equilibrium the game is a draw in expectation. Humans rarely play optimally, so observation of patterns wins most games.
• Saving your highest cards for the biggest prizes (King, Queen, Jack) is the simplest heuristic, but predictable; varying it by occasionally burning a King on a low prize confuses a pattern-reader.
• Consider bidding one more or one less than your opponent's likely bid. If you predict they will bid their King on a revealed King prize, a mid-range bid loses cheaply and saves your high cards for the next round.
• The low cards are not worthless. An Ace costs you nothing beyond using up a hand slot; playing it as a 'throwaway' round lets you signal (or mislead) about your future intentions.
• After several rounds, track which high cards your opponent has already spent; the information asymmetry shrinks as the game progresses, and precise counting becomes decisive.
• Against a mathematically strong opponent, the only way to win is to randomise; use a mental trick (for example, let the last digit of the current time decide) to avoid revealing patterns.

Glossary

• Prize suit / prize deck: The face-down pile of cards (traditionally diamonds) whose top card is revealed each round as the contested prize.
• Hand suit: Each player's private collection of 13 cards (clubs and spades in the 2-player game); used to place bids.
• Bid: A card secretly played face-down and revealed simultaneously with the opponent's to contest the current prize.
• Round: One revealed prize plus the simultaneous bids that resolve it; a game is 13 rounds.
• Tie round: A round in which both players bid the same rank; the prize is discarded (or carried over in the alternative rule).
• Mixed strategy: A randomised play pattern that cannot be exploited by a pattern-reading opponent; the game-theoretic optimum for Gops.
• Goofspiel: An alternative name; the game is also called Game of Pure Strategy in academic writing.