Optimal Doubling Thresholds in Backgammon-like Stochastic Games
Optimal Doubling Thresholds in Backgammon-like Stochastic Games
We study variants of a stochastic game inspired by backgammon where players may propose to double the stake, with the game state dictated by a one-dimensional random walk. Our variants allow for different numbers of proposals and different multipliers to the stake. We determine the optimal game state for proposing …