Overlapping Coalition Game for Resource Allocation in Many-to-Many D2D Communication

Table 1

List of major symbols.

Symbol	Description
	The number of CUs
	The number of D2D pairs
	Gaussian white noise
	The transmission rate of the th D2D pair sharing
	The th resource block
	The transmission sum rate of the th CUs
	The SINR of the th D2D pair sharing the th
	Resource block
	The SINR of the th CU
	The transmit power of th CUs
	The transmit power of D2D pairs
	D2D pairs in the same coalition with the th pair
	A set of all the D2D pairs sharing the same resource
	The reusing indicator of CUs
	The transmission sum rate of the all CUs
	The transmission sum rate of the all D2D pairs
	The path gains from the transmitter of the th CUs to the th D2D pair receiver
	The path gains from the transmitter of the th D2D pair to D2D pair receiver
	The path gains from the transmitter of the th D2D pair to the th D2D pair receiver
	The link gain between the th D2D pair sharing the th channel resource block and the base station
	The rate thresholds of CUs
	The rate thresholds of D2D pairs
	The path gains of the th CUs to the base station
	The path gains of the th D2D pair to the base station
	The transmission rate of CUs
	The maximum transmit power of D2D pairs
	The players of all users in the system model
	The coalition structure
	The utility functions
	Historical information table
	The power interval
	The path loss constant
	The multipath fading parameter from the th CUs to receiver of the th D2D pair
	The shadow gain from the th CUs to receiver of the th D2D pair
	The distance from the th CUs to the receiver of the th D2D pair
	The path loss factor
	A set of the corresponding D2D pairs and the CU that share the th resource block
	The interference intensity of the th D2D pair that reuse the th cellular user