The action that  motivates Odysseus to tell a lie to the Cyclops is that Odysseus does not want to reveal their only means of escape.
Odysseus is motivated a lot  by a number of things such as by his nostos, or the zeal to return home.
Note that in the above case, he had to lie so that his plans will not be exposed and as such, The action that  motivates Odysseus to tell a lie to the Cyclops is that Odysseus does not want to reveal their only means of escape.
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