How can hubris cause a person's demise?

So an important aspect of this question is not the fact that an arrogant person fails, but that the hubris itself leads to their demise. 

Many writers and philosophers have examined this subject at length; one of the most iconic examples is Odysseus' interactions with the Cyclops in The Odyssey by Homer. When Odysseus and his men have blinded the Cyclops and managed to escape from his cave, where he had been eating them alive,...

So an important aspect of this question is not the fact that an arrogant person fails, but that the hubris itself leads to their demise. 

Many writers and philosophers have examined this subject at length; one of the most iconic examples is Odysseus' interactions with the Cyclops in The Odyssey by Homer. When Odysseus and his men have blinded the Cyclops and managed to escape from his cave, where he had been eating them alive, Odysseys recklessly reveals his identity to the monster, shouting back to shore that the Cyclops should tell the world that he has been defeated by the great warrior Odysseus. Nothing other than hubris leads to this declaration, which in turn directly leads to the demise of Odysseus' crew. As it turns out, the Cyclops' father is Poseidon, god of the sea, who sends horrific storms to plague Odysseus, destroying his ship and delaying his return home. In this example, it is clear that Odysseus' hubris leads to his crew's demise, and nearly to his own. 

Essentially, Homer's lesson is that all actions have consequences; an act of hubris, with no purpose other than self-aggrandizement, tends to have a negative effect, for the speaker has thought of no effect beyond pride.