All In!
We study a simple betting game involving 3 players, who start with amounts (or stack sizes) of money x,y,z>0, respectively.
At each step of the game, two of the players are selected at random and bet on the outcome of a coin toss.
The value of the bet is the minimum of their two stack sizes at that time (i.e. the player with less money is betting all their money).
We can continue this game until a player reaches 0, and that player is declared the loser. The other two may continue until one of them ("the winner") has all the money.
We will discuss some remarkable features of this very simple model. (Joint work in progress/limbo with Omer Angel)