Answer: Pseudomutuality
Explanation:
Pseudomutuality strategy for conflict between two people is defined as the mechanism in which person tends to avoid the conflict or dispute based on his/her opinions and thoughts by neglecting it . Ignoring the views makes it easy for the person for having no issue and conflict in relationship.
According to the question, Ellis is using the conflict technique of pseudo-mutuality by ignoring that he does not want to stay at home and his anger by displaying as being happy and pleased . In this way he would eliminate the chances of conflict with family members by ignoring his thoughts.