Question

Find two Nash equilibria in the following game s1 s2 s3 t1 3,4 4,5 6,4 t2...

Find two Nash equilibria in the following game

s1 s2 s3
t1 3,4 4,5 6,4
t2 2,2 6,4 4,3
t3 5,3 5,5 5,6

Homework Answers

Answer #1

For player T, maximum payoffs in 3 situations are:

s1 s2 s3
t1 3,4 4,5 6,4
t2 2,2 6,4 4,3
t3 5,3 5,5 5,6

For player S, maximum payoffs in 3 situations are:

s1 s2 s3
t1 3,4 4,5 6,4
t2 2,2 6,4 4,3
t3 5,3 5,5 5,6

A Nash equilibrium exists where Player T’s best response is the same as Player S’s best response

These points are:

s1 s2 s3
t1 3,4 4,5 6,4
t2 2,2 6,4 4,3
t3 5,3 5,5 5,6

Hence, two Nash equilibria are 5,5 and 5,6.

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