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Table 3 Different metrics of the proposed methods in comparison with other methods

From: Selfish node detection based on hierarchical game theory in IoT

Presence of selfish node, algorithms

Metrics

10

15

20

25

30

35

40

Proposed algorithm

Detection accuracy (DA)

0.93

0.99

1

0.99

0.98

0.96

0.95

PPS [14]

0.75

0.72

0.78

0.79

0.77

0.76

0.74

Game theory-based [29]

0.81

0.79

0.71

0.69

0.56

0.51

0.48

Trust management [32]

1

0.95

0.88

0.85

0.8

0.74

0.62

Proposed algorithm

False-positive rate (FPR)

0

0

0

0.002

0.0127

0.0347

0.0549

PPS [14]

0.25

0.22

0.28

0.29

0.27

0.27

0.31

Game theory-based [29]

0.19

0.21

0.28

0.41

0.44

0.49

0.53

Trust management [32]

0

0

0

0.02

0.1

0.14

0.2

Proposed algorithm

Throughput

75.85

73.05

74.14

78.92

86.71

91.07

95

PPS [14]

48

41

43

38

35

32

19

Game theory-based [29]

50

42

41

36

33

30

15

Trust management [32]

85

78

81

84

82

71

73

Proposed algorithm

End-to-end delay (ms)

16.35

17.01

17

12

7.93

4.1

1.47

PPS [14]

48

41

43

38

35

32

19

Game theory-based [29]

50

42

41

36

33

30

15

Trust management [32]

85

78

81

84

82

71

73

Proposed Algorithm

Energy consumption (ÎĽJ), 2 CBR

3.14300

3.14302

3.14303

3.14299

3.14301

3.14301

3.14302

PPS [14]

3.1

3.25

4.2

4.8

4.9

5.01

5.2

Game theory-based [29]

2.8

2.9

3.5

3.6

3.66

3.78

3.9

Trust management [32]

2.9

3.1

3.4

3.9

4.12

4.52

4.6