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Homework 2 (June 6) Material covered: Episodes 3 and 4
What is a constant game? (definition) Definition 3.6 implies that the empty position is a legal run of every game(structure). Explain why. When do we say that a constant game is elementary? How many elementary constant games are there? Complete the following definition: Let A be a constant game, and be a legal position of A (i.e., LrA). The game, A, called the -prefixation of A, is defined by: … Let A be the following game: Which player wins the run ,,? How about ,,,? How about ? Draw a tree for the game ,A. Then do the same for ,,A. How about A? Define the concept of a (not-necessarily-constant) game.
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