An extensive-form game is a type of game used in game theory to model situations where players make decisions sequentially over time. It represents the structure of a game in a tree-like format, illustrating the various possible moves, strategies, and outcomes that can arise in the game. Each node of the tree represents a decision point for a player, and branches represent the possible actions that can be taken from that point.
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A game described by a game tree, with the acting player and available actions specified at each decision node, payoffs at terminal nodes, and information sets indicating which decision nodes a player can distinguish. A pure strategy specifies an action at every information set belonging to that player, including ones not reached during realized play.