Multiple access techniques in wireless sensor networks enable various nodes where the accessible channel sets can be segmented for data transmission. The nodes can collaborate or compete to access the channel(s) so that it is possible to obtain a group goal or an individual. The Game Theory is a mathematical instrument created to understand the relationship between rational entities, it can also be used to analyze and model the group or individual node conduct in wireless sensor networks for multiple access. Within this study, we give an extensive overview of the game theory models (e.g., dynamic/static, cooperative / non-co-operative and incomplete/complete data) that is created within wireless sensor networks for multiple multi-access schemes (e.g., contention-based and contention-free random-access channels). The significant result is identified through the game theory model highlighted within the different access.