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A solved game is a game whose outcome (win, lose or draw) can be correctly predicted from any position, assuming that both players play perfectly.This concept is usually applied to abstract strategy games, and especially to games with full information and no element of chance; solving such a game may use combinatorial game theory or computer assistance.
The game can be represented by an undirected graph, the nodes representing distributions of disks and the edges representing moves. For one disk, the graph is a triangle: The graph for two disks is three triangles connected to form the corners of a larger triangle. A second letter is added to represent the larger disk.
The steps for solving this game with backward induction are as follows: Analysis starts from the final nodes. Player 2 will observe 8 subgames from the final nodes to choose "go to movie" or "stay home". Player 2 would make 8 possible comparisons in total, choosing the option with the highest payoff in each.
Equations is a mathematics game created in 1965 for 2–3 players. The game uses a playing mat with Forbidden, Permitted, and Required sections and 24 cubes, each labeled with numbers and mathematical operations. At the beginning of each "shake", one player uses up to six cubes to set a "goal."
The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2. The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's Make a Deal and named after its original host, Monty Hall.
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