STAT 155 Spring 2015 Midterm Solutions - Midterm Solution for Game Theory Sren Reinhold u o SPRING 2015Knzel 1 Consider the take-away(subtraction game

STAT 155 Spring 2015 Midterm Solutions - Midterm Solution...

This preview shows page 1 - 3 out of 5 pages.

Midterm Solution for Game Theory 1. Consider the take-away (subtraction) game with subtraction setS={1,3,9}. That is, this is atwo player game, withnpiles ofxnchips each. At any player’s turn, they may take away 1, 3, or9 chips from exactly one of the piles.(a) Find thePpositions for a pile ofxchips.Justifyyour answer.(7 points) (b) Consider the 3-pile game at position (100, 99, 97). Is this positionPorN? How do you know? Ifit isNwhat would be a winning move?(3 points) 1 SPRING 2015
Midterm Solution 155: Game Theory Spring 2015

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture