Consider the following two-player game: In the first round, Kamal picks an integer x between 1 and 10. In the next round, Sana picks another integer y such that x < y < x + 11. Then, Kamal picks integer z such that y < z < y + 11, etc. In short: Kamal and Sana must add to the previous number at least one but no more than 10. The first player who picks 100 or more is the

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Chapter1: Making Economics Decisions
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Consider the following two-player game: In the first round, Kamal picks an
integer x between 1 and 10. In the next round, Sana picks another integer y
such that x < y < x + 11. Then, Kamal picks integer z such that y < z < y +
11, etc. In short: Kamal and Sana must add to the previous number at least
one but no more than 10. The first player who picks 100 or more is the
loser. Fill out the blanks with no spaces or commas:
can win if she/he plays optimally (write in the blank
either Sana or Kamal)
The player described above can choose the following sequence of moves
and win regardless of the moves of the opponent
Example: in the variant of this game played in class, the corresponding
sequence was 1, 12, 23, 34, 45, 56, 67, 78, 89, 100. You would write such
a sequence as 11223344556677889100
Transcribed Image Text:Consider the following two-player game: In the first round, Kamal picks an integer x between 1 and 10. In the next round, Sana picks another integer y such that x < y < x + 11. Then, Kamal picks integer z such that y < z < y + 11, etc. In short: Kamal and Sana must add to the previous number at least one but no more than 10. The first player who picks 100 or more is the loser. Fill out the blanks with no spaces or commas: can win if she/he plays optimally (write in the blank either Sana or Kamal) The player described above can choose the following sequence of moves and win regardless of the moves of the opponent Example: in the variant of this game played in class, the corresponding sequence was 1, 12, 23, 34, 45, 56, 67, 78, 89, 100. You would write such a sequence as 11223344556677889100
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