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? 6. Define the concept of a (not-necessarily-constant) game.