. 2019 Sep 5;19(18):3835. doi: 10.3390/s19183835

Table 2.

List of Symbols.

S#	Symbol	Description
1.	CH	Cluster head
2.	Cluster_ID	Cluster with an identity number
3.	K^T	Total number of clusters at time T
4.	G	Game model
5.	N	Nodes/number of nodes
6.	S	Strategies
7.	U	Utility function
8.	CM	Cluster member
9.	$C o s t E_{i}$	Energy cost of node i
10.	$C o s t_{i} (S e n s e)$	Cost of sensing
11.	$C o s t_{i} (P r o c e s s)$	Cost of processing data
12.	$C o s t_{i} (a g g)$	Cost of aggregation of data
13.	$C o s t_{i} (P a c k e t - T r a n s)$	Cost of a single packet transmission
14.	$C o s t_{C H}$	Energy cost of cluster head
15.	$C o s t_{C M}$	Energy cost of cluster member
16.	$H p L_{i}$	Hop level of node i
17.	$H p L^{m a x}$	Maximum hop levels in the network
18.	$f b$	The ratio of forward nodes to backward nodes
19.	$d_{i, j}$	Distance between nodes i and j
20.	CN	Closed neighbors
21.	$C N D i s t^{T h r e s}$	Threshold distance to determine CNs set
22.	$P (d_{i, j})$	Propagation model for the distance between nodes i and j
23.	$C_{t}$	Transceiver characteristics
24.	$P_{t}$	Transmission power
25.	$λ_{i}$	Importance of node i
26.	$c n$	Number of CNs
27.	$P a r t^{T h r e s}$	The threshold value for participation
28.	$p_{C M}$	The participation level of cluster member
29.	$T S S_{C M}$	Total Session Sent by the cluster member
30.	A	Set of nodes suitable for CH
31.	Β	Set of nodes not suitable for CH
32.	PCH	Set of nodes prohibited for CH
33.	TE	Threshold value for eligibility of being CH
34.	$Π_{i}$	Profit value assigned to the node by BS
35.	$π_{i}$	Penalty value assigned to the node by BS
36.	${\bar{U}}_{α}$	Average profit earning of a node
37.	${\bar{U}}_{β}$	The average penalty for a node
38.	$x^{*}$	Stable strategy set
39.	$E V A L$	Parameters set for evaluation