The article deals with the negotiation process from a game theory perspective. It demonstrates on a negotiation model based on Nash bargaining problem. The graphical form of the model helps to understand the way negotiations takes place and some aspects of it. The problem of subjective assessment of reality can be largely addressed by the negotiation process. Understanding the role of subjectivity in bargaining allows to improve your own bargaining skills and gain more in dividing the results achieved together. A proper set-up of the so called point of disagreement is the key to the advantage of good preparation.