Currently, the project duration reduction is a key demand of project managers and all the construction team. There are many advantages and cost savings for projects. Various techniques are adopted for reducing project duration, but the methodology of overlapping of critical activity is a modern technique, which leads to reduction in schedule and cost. The overlapping in construction projects is to be done effectively as every pair of activities cannot be overlapped since some prior activity may not allow overlapping because of maximum rework. The objective of the paper is to emphasize the technique of overlapping pairs of critical activities by forming decision matrices between criteria and variants and solving the matrix using Game Theory. It also normalizes all pay-off functions by transforming them into dimension less numbers with vector normalization and obtaining the optimal variant, i.e. the pair of activities with maximum overlapped duration leading to maximum benefit for corresponding duration.