  In a previous paper, we considered several models of the parlor game baccara
chemin de fer, including Model B2 (a $2\times2^{484}$ matrix game) and Model B3
(a $2^5\times2^{484}$ matrix game), both of which depend on a positive-integer
parameter $d$, the number of decks. The key to solving the game under Model B2
was what we called Foster's algorithm, which applies to additive $2\times2^n$
matrix games. Here "additive" means that the payoffs are additive in the $n$
binary choices that comprise a player II pure strategy.
  In the present paper, we consider analogous models of the casino game baccara
chemin de fer that take into account the $100\,\alpha$ percent commission on
Banker (player II) wins, where $0\le\alpha\le1/10$. Thus, the game now depends
not just on the discrete parameter $d$ but also on a continuous parameter
$\alpha$. Moreover, the game is no longer zero sum. To find all Nash equilibria
under Model B2, we generalize Foster's algorithm to additive $2\times2^n$
bimatrix games. We find that, with rare exceptions, the Nash equilibrium is
unique. We also obtain a Nash equilibrium under Model B3, based on Model B2
results, but here we are unable to prove uniqueness.
