Someone can violate the Gricean maxims to avoid an uncomfortable conversation at Thanksgiving dinner.
Guest A may mention their support for an unpopular candidate in the next election.
Guest B will try to steer the conversation away from politics by refusing to provide information about who they intend to vote for, intentionally flouting the Maxim of Quantity. By not supplying this information, the message is sent that Guest B does not want to talk about the election.
Another way is to change the subject, asking who cooked a certain dish and complimenting them on it, violating the Relevance maxim. This signals that Guest B would rather talk about something else.
In these ways, Guest B shows that they are unwilling to ‘cooperate’ in further conversation on the topic, because the expected responses are intentionally withheld.