Consider the tic-tac-toe game problem in the below 4*4 game board and answer the following questions:...

Transcribed Image Text:

Consider the tic-tac-toe game problem in the below 4*4 game board and answer the following questions: 0261 2023/01/22 XO a. Construct game tree with utility up to level 3 or one round per player and one more round by the MAX player with below utility. Utility of board = Max Chance of Win - 2*(Min Chance of Win) Player's Chance of Win = No.of.Matches possible is this player alone is allowed to fill all the empty cells with its game piece. c. b. Implement a MIN-MAX algorithm for the game tree constructed under part a. Show each step in the algorithm with updating of alpha and beta at every relevant node. Can the MAX always win if each player is allowed to play two consecutive moves or chances in this tic-tac-toe game for any arbitrary board configuration? Justify your answers with analysis. X O O X OXO XO Consider the tic-tac-toe game problem in the below 4*4 game board and answer the following questions: 0261 2023/01/22 XO a. Construct game tree with utility up to level 3 or one round per player and one more round by the MAX player with below utility. Utility of board = Max Chance of Win - 2*(Min Chance of Win) Player's Chance of Win = No.of.Matches possible is this player alone is allowed to fill all the empty cells with its game piece. c. b. Implement a MIN-MAX algorithm for the game tree constructed under part a. Show each step in the algorithm with updating of alpha and beta at every relevant node. Can the MAX always win if each player is allowed to play two consecutive moves or chances in this tic-tac-toe game for any arbitrary board configuration? Justify your answers with analysis. X O O X OXO XO

Answer rating: 100% (QA)

Heres a breakdown of the tasks and key concepts involved Problem Understanding Game Board 4x4 grid Initial State Single X in the topleft corner Goal Construct a game tree implement the Minimax algorit... View the full answer