p1

A B C

p2 X 4,5 7,6 11,3

Y 5,13 6,8 10,12

Z 8,8 3,7 9,1

Suppose & is 0.4. Consider a strategy profile where

1. P2 plays Y in the first period, in every period after p2 played Y and p1 played C, after p2 played Z and p1 Played B, and after p2 played Z and p1 played C. Otherwise, p2 plays Z
2. P1 plays C in the first period, in every period after p2 plays Y and p1 played C, after p2 played Z and p1 played B, and after p2 plays Z and p1 plays C. Otherwise,p1 plays B

check if this is an SPNE