You've probably been directed here because your dispute resolution ("DR") request was removed or closed because there was insufficient talk page discussion. As noted in the Dispute Resolution policy, all content dispute resolution procedures — Third Opinion, Dispute Resolution Noticeboard, Request for Comments (though the requirement is very weak there), and Formal Mediation — require thorough talk page discussion at the article talk page before a request for DR can be properly filed.
But what is an editor supposed to do when the other editor simply won't respond, or won't engage in the back-and-forth discussion that DR requires? There is no sure answer, but there are administrators who consider continuing to revert without discussing to be disruptive behavior and who will put pressure on the other editor to respond to you. This guide is intended to help editors put themselves in the best position to obtain such assistance.
To put yourself in that position:
Here's the recommended process:
There are too many variables and moving parts in this to be sure that this is always going to work, so good luck. If the other user does respond with anything other than, "I'm not going to discuss this with you," then let the discussion begin. You know all those "don'ts" in step 3, above? Keep them going, even if the other user does not. Incivility and trollishness only complicate matters. Stick to your content-only guns and you'll have the moral high ground going into dispute resolution if you have to go there.