What is the concept of game tree?

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What is the concept of game tree?

The concept of a game tree is a graphical representation of the possible outcomes and decisions in a sequential game. It is used in game theory to analyze and strategize in games with multiple players and multiple rounds. The tree starts with a single node representing the initial state of the game, and each subsequent node represents a possible decision or action that a player can take. The branches of the tree represent the different possible outcomes resulting from each decision, and the tree continues to expand until all possible outcomes are accounted for. By analyzing the game tree, players can determine the optimal strategies and make informed decisions based on the potential outcomes.