battle of wits

The two very different men engage in a battle of wits.

After that the whole adventure became a battle of wits between him and me.

You are not challenging her to a battle of wits.

This is no longer a battle of software or even human wits.

In that case, I challenge you to a battle of wits.

It was going to be a battle of wits from this point forward.

But in a battle of wits, he was far from unarmed.

To take too long would lose him face in this battle of wits.

He would spend time after the play in a battle of wits with the audience.

Up to now it was a simple battle of wits.