Tag Archives: game numbers

Combinatorial Game Theory Quiz 3

The quiz lasts 75 minutes and covers everything from lessons 1-12. For each of the following Nim games, find one good move for the first player, if any. (10 points) [ Note : exactly one of the games is a … Continue reading

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Combinatorial Game Theory Quiz 2

This quiz lasts 70 minutes and covers materials from lessons 1-9. Use the simplicity rule to compute the values of the following games. (10 points) {1/2 | } {-1/4 | } {1/8 | 3/8} {0 | 7/8} {1/8 | 9/16} … Continue reading

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Combinatorial Game Theory IX

Lesson 9 Typically, at the end of a Domineering game, the board is divided into disjoint components, so the overall game is the (game) sum of the individual components. Suppose we have the following 6 components: How should the next … Continue reading

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Combinatorial Game Theory VII

Lesson 7 [¬†Warning: another long post ahead. One of the proofs will also require mathematical induction. ] In this lesson, we will see how some games can be represented by numbers (which can be integers or fractions). We will also … Continue reading

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