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High-low poker

Deck is consisting of 48 cards:

  • 40 number cards, 4 for each 0-9
  • 8 operations cards, 4 for root, 4 for multiplication

Before: every Player has a set consisting of:

  • Addition card
  • Subtraction card
  • Division card

Forced betting: eks (1) chip per game FOR EACH Player

A Game is consistent of:

Round 1:

  1. Pass out one number card FOR EACH Player
    • Card is hidden from other players
  2. Pass out 2 cards from Deck FOR EACH Player
    • IF Card == root: get one additional Number card
    • IF Card == multi: throw away Addition, Subtraction or Multiplication card and receive an Number card

Round 2, first betting:

Action - Description Pass - ONLY for first player. Do not bet anything Fold - Throw away card and exit the Game Raise - Bet more than what is the highest amount on the table Call - Bet as much as the highest amount on the table

The betting Round lasts until everyone has bet alike Chips A Player cannot bet more than the lowest amount to a given Player!

At the end of round 2 - every Player receives a Number card

Round 3, create equation:

60 secounds to arrange the Cards to an Equation which is either close to 1 or 20.

Each Player selects a 1 / 20 Card

Round 4, second betting:

Alike as round 2, except no giving out Number cards.

Round 5, showoff:

Each player shows their equation and betting 1/20

  • IF every Player bets the same 1/20: winner takes all
  • IF both 1/20 are in play: split pot in two, give to winner
    • If Pot == not even, throw away 1 Chip
  • If 2 or more Players win - divide the Pot equally to the Winners.

State representation in High-low Poker

Key - Description - Example Value deck - 48 cards (40 Number and 8 Operational). - 000011119999RRRRMMMM hand - The current hand of current player - 184ASDM chip1 - Chips of player 1 - 14 chip2 - Chips of player 2 - 32 bet - The bet of the current hand - 0 (low) or 1 (high)

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Reinforcement learning for High-Low poker (Devils Den)

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