![(b) [6] Find all parameter values of a, b, and c for which the strategy profile (T, L) is a pure strategy Nash equilibrium.](http://img.homeworklib.com/questions/db510060-789c-11ea-87e4-bd41f7921355.png?x-oss-process=image/resize,w_560)
Homework Answers
A weakly dominant strategy refers to that strategy that gives at least same utility for all agents and strictly greater for a particular strategy.
(a)
Following restrictions are put on a, b, c that makes (T, L) a weakly dominant strategy.
a >= 3
b <= 1
and c <=0
(b)
After using Hit and Trial, following values of a, b, c makes the (T, L) as Nash Equilibrium
a= 4
b = 0
c = -1
| L | R | |
|---|---|---|
| T | (4, 1) *# | (2, 0)# |
| B | (3, 0)* | (2, -1)# |
(T,L) is the Pure Strategy Nash Equilibrium in above game
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