Admitting you are wrong to someone is tough. Admitting it in a group is even more tough.
When we are conversing, we are expressing our view points. We want to prove the correctness of our view point. It's an intellectual battle. A battle of minds. But behind this obvious battle of minds, another hidden battle is going on. This is a battle of hearts. You may win the battle of minds but still lose the battle of hearts. And you may lose the battle of minds but still win the battle of hearts. Humility wins every battle. Accept defeat in a conversation.