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A game tree is basically an AND/OR graph. Justify the statement


Prantik

on 2023-02-18 18:59:59  

The statement "A game tree is basically an AND/OR graph" is generally true and can be justified as follows:rnrnA game tree is a visual representation of the possible outcomes of a game or decision-making scenario, where each node of the tree represents a particular state of the game and each edge represents a possible action or decision. The nodes at the bottom of the tree represent terminal states or end-game outcomes.rnrnTo construct a game tree, we start at the root node and recursively generate child nodes for each possible move or action. The child nodes are connected to the parent node via edges. This process continues until all terminal states have been reached.rnrnIn a two-player game, each player takes turns to make a move, and the game tree branches into different possible outcomes depending on the choices made by each player. At each turn, the player must make a decision, which can be seen as an "OR" operation. For example, if the player has two possible moves, the game tree will have two branches at that node, representing the different possible outcomes based on the move chosen by the player.rnrnHowever, there are also situations where a player's decision depends on the choices made by the other player, which can be seen as an "AND" operation. For example, if the other player has two possible moves, the player must consider both possibilities in order to make the best decision. This creates a "fork" in the game tree, where multiple branches emanate from a single node.