Zeus

Zeus show some favoritism in book 11 when he makes the heaven rain blood on Achaean lines. Zeus weakness is that he always have trouble over love affair, like when Zeus sees Hera he is instantly overpowered with lust.He then tell Hera to stay with him and it he said that where she was going it can wait and they can do it there Zeus is just going to put a mist of clouds, when there are done Sleep (the brother of death) knocks Zeus out, and Sleep tells Poseidon to kill some trojan. When Zeus wakes and sees the havoc that Hera and Poseidon have wreaked while he dozed in his enchanted sleep. Hera tries to blame it all on Poseidon, Zeus tries to calm her down.

That is his only weakness that Zeus can be easily tricked when it comes to Goddesses he always have a lust over Goddesses, he can never control himself that is why Hera tricked her easily so that she and Poseidon can kill some trojans. Zeus also believes stories easily even if its not true.