Tag Archives: toppling dominoes

Combinatorial Game Theory XI

Posted on August 25, 2012 by limsup

Lesson 11 In this lesson, we will cover more on canonical forms. First recall that for m↑ + (*n) with m > 0, this game is positive except when (m, n) = (1, 1). Let’s consider the canonical forms of … Continue reading →

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Combinatorial Game Theory X

Posted on August 22, 2012 by limsup

Lesson 10 In lesson 7, we learnt that if A, B are Left’s options in a game with A ≥ B, then we can drop B from the list of options and the game remains equal. In this lesson, we will … Continue reading →

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Combinatorial Game Theory IX

Posted on August 20, 2012 by limsup

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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