Von Neumann poker is a simplified model of poker that is analytically solvable. The document proposes extending this model to include "community cards" by introducing a probability q that the lower hand wins after betting. For values of q below a critical value q0, there is an equilibrium where both players follow mixed strategies. For q above q0, the player with the weaker hand will always call bets. As q increases, the player with the stronger hand bets more aggressively. The value of the game, representing the expected payoff for the first player, increases with q but is discontinuous at q=1/2 due to an assumption of unlimited betting amounts. Limiting betting resolves this issue.