Game playing in class-2 players take turns choosing a number, Game Theory

Problem:-Two players take turns choosing a number between 1 and 10 (inclusive), and a cumulative total of their choices is kept. The player to take the total exactly to 100 is the winner

1. (a) One initial node (I), three decision nodes (D) including the initial node, and six terminal nodes.

503_GAME PLAYING IN CLASS-2 players take turns choosing a number.jpg

 

(b) One initial node, four decision nodes including the initial node, and nine terminal nodes.

1762_GAME PLAYING IN CLASS-2 players take turns choosing a number 2.jpg

 

(c) One initial node, five decision nodes including the initial node, and eight terminal nodes.

2487_GAME PLAYING IN CLASS-2 players take turns choosing a number 3.jpg

Posted Date: 9/27/2012 1:58:45 AM | Location : United States







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