KUHNPOKER: We play with a 8 cards deck, four "1"s and four "2"s.
Every player gets one card and looks at it secretly.
The start bet is $2.
Ann moves first by either checking or raising.
- If Ann checks, then Beth can check or raise.
- If Beth checks, both cards are revealed and the player with the higher card wins the pot of $4.
splitting it again equally in case of a draw.
- If Beth raises, she increases the bet to $3. Then Ann has two options,
she can either fold or call.
- If Ann folds, Beth gets the pot money of $5, i.e. wins $2.
Ann's card is not revealed in that case.
- If Ann calls, she also increases her bet to $3. Then both cards are revealed again,
and the player with the higher card gets the money of $6, i.e. wins $3. Again, in case of a draw
the money is split equally.
- If Ann raises, she increases the bet to $3. Then Beth has two options,
she can either fold or call.
- If Beth folds, Ann gets the pot money of $5, i.e. wins $2.
Beth's card is not revealed in that case.
- If Beth calls, she also increases her bet to $6. Then both cards are revealed again,
and the player with the higher card gets the money of $6, i.e. wins $3. Again, in case of a draw
the money is split evenly.
Draw the extensive form of the game. How many pure strategies does Ann have,
and how many pure strategies does Beth have?