# Optimal strategy: Two Player Gambling Die Game

This is a simple 2 player game on which each player has an individual "pool" of finite money or points, and every round they must decide how many points they want to risk for a chance to get a directly proportional reward. I've been trying to solve this problem for a while, but I still know very little about game theory and I can't seem to even find the proper place to start. I'd be thankful if anyone could help me.

The Game: