Starting Bankroll for Kill Games

[jason1990]

I am going to also post this in the Poker Theory forum. For those who do not know what a kill game is, let me explain by example. I have played in a $2/$4 kill game in my local B&M casino. It plays like a standard $2/$4 limit holdem game with one exception. If a player wins two pots in a row, then the game becomes a $4/$8 game until a different player wins the pot. During this time, the blinds remain $1/$2, but the player who has won the consecutive pots must post a blind of $4. He will post this blind every hand until someone else wins the pot, at which point the game reverts to a normal $2/$4 game.

Using the recommended starting bankroll of 300 BBs, I should have $1200 to play in an ordinary $2/$4 game and $2400 to play in an ordinary $4/$8 game. So my starting bankroll to play in this kill game should be somewhere between the two. How much should it be?

As a related question, what is the long term ratio of kill pots to all pots? Or put another way, if I walk up to a 10-handed kill game at some random time, what is the probability that I will find a kill pot in progress?

And finally, how much should I buy in for when I sit down at a kill game?