The flying Barcelona full-back was in a candid mood as he spoke to reporters after the game and he owned up to a major defensive slip, which cost his side a goal
The defending champions had been leading 1-0 thanks to a goal from Jadson, who had been included at Robinho's expense. Paraguay equalised through Roque Santa Cruz before a critical error from Alves led to the defending champions falling behind.
"I think we were playing well but after their equaliser, they began to get better. Then, I made a bad error, which resulted in their second goal at a time when we were controlling the game," Alves told reporters in the mixed zone, which was attended by Goal.com.
"Lucio told me to get rid of the ball. I let the ball slip a little and then it got stuck in the grass and the Paraguayan player was very clever in being able to see this and take the ball away from my grasp.
"I take my share of the blame and apologise to my team-mates because until that point, we were in control of the game."
The Barcelona man was equally forthcoming with his opinions on the general state of the Brazil team, who have performed below expectations thus far: "We have to get better. We know the responsibility that comes with playing for the Selecao. We know what we did wrong and what we did right.
"I think that everyone has to be aware of their own responsibility within the squad and try to get better as time goes on. The competition should bring us more rhythm and understanding.
"People demand immediate results but we can't despair. We must learn to accept the criticism and get better."
Brazil will take on Ecuador in the final group game on Wednesday.