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Problem #3: MSNE Using Graphs (12 pts) For each of the following game tables, first simplify the game as far as possible by eliminating strictly
Problem #3: MSNE Using Graphs (12 pts) For each of the following game tables, first simplify the game as far as possible by eliminating strictly dominated and non-rationalizable strategies. Assume a mixed-strategy context when dcturmining if a strategy is non-rationalizable. If this reduces the game to a 2x2 table, then find all of the game's Nash equilibria. To earn full points for this question, your answers must be accompanied by the appropriate graphs, if any are necessary. a) Player 2 S 7,3 2,4 5,2 6,1 6,1 5,4 F G H Player 1 b) Player 2 Y 2,3 6,1 4,2 1,3 3,1 2, 4 A B Player 1 c) Top Player 1 Middle Bottom Left 3,1 1,2 0,2 Player 2 Center 3,1 2,1 3,0 Right 0,2 1, 2 3,1 Problem #3: MSNE Using Graphs (12 pts) For each of the following game tables, first simplify the game as far as possible by eliminating strictly dominated and non-rationalizable strategies. Assume a mixed-strategy context when dcturmining if a strategy is non-rationalizable. If this reduces the game to a 2x2 table, then find all of the game's Nash equilibria. To earn full points for this question, your answers must be accompanied by the appropriate graphs, if any are necessary. a) Player 2 S 7,3 2,4 5,2 6,1 6,1 5,4 F G H Player 1 b) Player 2 Y 2,3 6,1 4,2 1,3 3,1 2, 4 A B Player 1 c) Top Player 1 Middle Bottom Left 3,1 1,2 0,2 Player 2 Center 3,1 2,1 3,0 Right 0,2 1, 2 3,1
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