This problem is designed to give you practice in reading a game matrix and to ch

Question

This problem is designed to give you practice in reading a game matrix and to check that you understand the definition of a dominant strategy. Consider the game represented in the following table. (The following is a description of the table: Rows are labeled by player A's actions and columns are labeled with player B's actions. From top to bottom, A's actions are "Top" and Bottom. From left to right, B's actions are "Left" and "Right". Payoffs are as follows: The first row is (a,b) and (c,d); the second row is (e,f) and (g,h).) botopantolowing lthe second row a eand Player B Left Right Top a,bi Player A Fill the blank: (a) if (top,left) is an equilibrium in strictly dominant strategies, then we know that: a (b) if (top,left) is a Nash equilibrium, then how many of the above strict inequalities must be satisfied (numeric answer, i.e., 0, 1, 2, 3, or 4)? c) If top left) is an equilibrium in strictly dominant strategies then it must be a Nash equilibrium write "T" if true, or F if false). Bottom gh g, and

Explanation / Answer

(a) a>c and b>d , a>g and e

(b)2

(c)TRUE

(a)c>=a and d>=b

(b)FALSE

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