Use the Rogerian model when your audience is hostile and non-conciliatory. This method is also known as the non-adversarial or WIN-WIN argument model. This method is used in labor-management disagreements, international peace treaties, marriage counseling, and other highly contentious settings. Follow these steps:

I. Introduction

Discuss the issue, what's at stake and any context required for your readers to understand the argument.

II. Explain the Opposing View

Articulate this in objective language--your intent here is not to prejudice the reader but rather to educate and to verify that you as arguer understand the opposing view correctly.

III. Describe Your Views

While probably not done completely objectively, this is an important stage in the process: simply explain what reasons you have for choosing your stance.

IV. Find Common Ground

Whereas the "Proof" stage in the classical model is key for success, here the need to find common ground is essential for the success of the Rogerian method. On what can you and your opponent agree? 

V. Offer a Compromise

In light of step four, craft a resolution that borrows the best from both sides and offers a negotiated settlement somewhere in the middle.