@Jolene_Laughlin brought up this question in another thread and I thought it ought to be addressed in a thread of its own.
Ezekiel 14:9 - And if the prophet is enticed to utter a prophecy, I the LORD have enticed that prophet, and I will stretch out my hand against him and destroy him from among my people Israel.
An Initial Response
God permits people to believe a lie whenever they commit idolatry. Romans 1 says God gives people over to degrading passions and a depraved mind when they reject the knowledge of God. In this case God clearly says that he is answering them in keeping with their idolatry.
Consider this Psalm - it is not one you hear preached often, but it is part of the character of God. God is not lying - He is dealing justly with those who have surrendered themselves to idolatry.
Psalms 18:26 - to the pure you show yourself pure, but to the devious you show yourself shrewd
Ezekiel 14:4-5 - Therefore speak to them and tell them, ‘This is what the Sovereign Lord says: When any of the Israelites set up idols in their hearts and put a wicked stumbling block before their faces and then go to a prophet, I the Lord will answer them myself in keeping with their great idolatry. I will do this to recapture the hearts of the people of Israel, who have all deserted me for their idols.
Here are some further resources to consider. Please let’s take this discussion deeper. The Lord Jesus grant us wisdom in this matter.
“God does ordain that lying happen as part of his judgment on the guilty”
“God permits deceptive forces to enter someone’s life if they are COMMITTED to deception already, and if they have demonstrated a culpable history of that destructive dishonesty (and so deserving censure–hopefully corrective…cf. 2 Tim 2.25-26). But even with that permission, God often sends a counter-balancing message of truth–alerting the recipient of the danger of deception. What is important for ALL OF US to realize is that–Christian or non-Christian–our basic attitude of openness and honesty to the ‘data’ around us has HUGE consequences for our future access to truth.”