Question

Describe tic-tac-toe as an extensive game with perfect information using the 5 parts of the definition of Extensive Games W/ Perfect Info:
(1) A Set of Players
(2) A set of terminal histories
(3) A player function
(4) Preferences for each player
(5) For each player, a set of actions available when it is his turn to play

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In an extensive form tic-tac-toe game with perfect information all player can see various parts of the payoff matrix. When the players take turns, each player get to see the others players strategy before selecting his own. It is like a sequential game with perfect information, the game which will be quadruple G = (N, H, P, (Ui)) such that
N is set of players, such that total number of players in the game for example, N = {1, 2,..., n}.
H is a set of terminal histories matching, Φ ε H, and if ha ε H then h ε H....

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