The purpose of this study is to examine a current land development decision within a one-shot decision framework. The main contributions of this study are as follows. A private real estate investment decision model is proposed within a one-shot decision framework, which is an innovative study on analyzing real estate investment problems from an economic viewpoint by using tools from the possibility theory. The analysis in this paper demonstrates the relation between the amount of uncertainty and the investment scale for different types of personal investors. The proposed model provides insights into personal real estate investment decisions and important policy.