ECN 200C Midterm: ECN 200C Midterm Version 1 Spring 2011

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9 Jan 2019
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University of california, davis - department of economics. Answer all questions (total 100 points: [35 points] consider the following two-person game. A coin is placed in the cell marked. Player 1 moves first and can move the coin one cell up (to a2) or one cell to the left (to b1) or one cell diagonally in the left-up direction (to b2). Then player 2 moves, according to the same rules (e. g. if the coin is in cell b2 then the admissible moves are shown by the arrows). Black cells are not accessible (so that, for example, from a3 the coin can only be moved to a4 or b3 and from f3 it can only be moved to. The player who manages to place the coin in the cell marked. Show that player 1 has a strategy that allows her to win the game starting from cell g4. The coin is in cell a1 and player 1 has the first move.