Counting game where the first to reach 50 wins
Question
Two players take turns calling out whole numbers. The opening call must be from to , and every later call must be larger than the previous one by between and . The player who calls wins. Would you choose to go first, and how would you play?
Short answer
Go first and say 6. Winning positions are (stepping down by ). After the opponent adds any , you add to land on the next of these, so you eventually call .
Adapted from Crack, Heard on the Street, Q1.16, p.12; question and answer rewritten by SelfMadeQuant.com.
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