Assignment:
Three people play a game in which one person loses and two people win each game. The one who loses must double the amount of money that each of the other players has at that time. The three players agree to play three games. At the end of the three games, each player has lost one game and each has $8. What was the original stake of each player?
Provide complete and step by step solution for the question and show calculations and use formulas.