Table 4 Summary of the dice game Pig.

From: Optimal strategy of the simultaneous dice game Pig for multiplayers: when reinforcement learning meets game theory

Category

Two players

Three players

Infinite players

Subcategory

Independent strategy

Optimal strategy

Independent strategy

Optimal strategy

Sequential

Y

Y

 

X

Simultaneous

Y

Not convergent for pure strategy

Y

Y

  1. Here character “Y” indicates the case is solved and the optimal strategy is found, while character “X” indicates that the case is unlikely. The independent strategy sequential game case is left blank as no related work was found. We believe this scenario is also solvable using value iteration.
Back to article page