This is an alternating play game for two players. The game starts at an integer, say xo > 1, and ends when one of the players moves to 0; this player wins. The first player may decrease xo to any positive integer, say 0 < x₁ < xo. The following removals must be no larger than twice the previous removal. For example, the second player's first move must satisfy: x2-1 ≤2(x1 - xo), and so on. If the starting position is xo = 13, would you want to start or play second? Explain the reasoning behind your answer.
This is an alternating play game for two players. The game starts at an integer, say xo > 1, and ends when one of the players moves to 0; this player wins. The first player may decrease xo to any positive integer, say 0 < x₁ < xo. The following removals must be no larger than twice the previous removal. For example, the second player's first move must satisfy: x2-1 ≤2(x1 - xo), and so on. If the starting position is xo = 13, would you want to start or play second? Explain the reasoning behind your answer.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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