the starting position of a simple game. Player A moves first. The two players take turns moving, and each player must move his token to an open adjacent space in either direction. if the opponent accupies an adjacent space, then a player may jump over the opponent to the next open space if any. (for example, if a is on 3 and b is on 2, then a may move back to 1.) the game ends when one player reaches the opposite end of the board. If player a reaches space 4 first, then the value of the game to a is +1; if player b reaches space 1 first, then the value of the game to a is -1 consider the two player game described in figure 5.17. a. draw the complete game tree, using the following conventions: 1. write each state as (sa,sb), where sa and sb denote token locations. 2. put each terminal state in a square box and write its game value in a circle. 3. put loop states (states that already appear on the path to the root) in double square boxes. since their value is unclear, annotate each with a "?" in a circle. b. now mark each node with its backed up minimax value (also in a circle). explain how you handled the "?" values and why.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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the starting position of a simple game. Player A moves first. The two players take turns moving, and each player must move his token to an open adjacent space in either direction. if the opponent accupies an adjacent space, then a player may jump over the opponent to the next open space if any. (for example, if a is on 3 and b is on 2, then a may move back to 1.) the game ends when one player reaches the opposite end of the board. If player a reaches space 4 first, then the value of the game to a is +1; if player b reaches space 1 first, then the value of the game to a is -1

consider the two player game described in figure 5.17. a. draw the complete game tree, using the following conventions: 1. write each state as (sa,sb), where sa and sb denote token locations. 2. put each terminal state in a square box and write its game value in a circle. 3. put loop states (states that already appear on the path to the root) in double square boxes. since their value is unclear, annotate each with a "?" in a circle. b. now mark each node with its backed up minimax value (also in a circle). explain how you handled the "?" values and why.

 

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