Payoff Structure Information

Paper 148: Improving Resource Allocation Strategy Against Human Behavior in Security Games

 Payoff Structure Information

Payoff Structure 1:  

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 2 6 9
defender lose -8 -10 -3 -1 -10 -5 -2 -5
 attacker win 10 8 3 7 6 7 8 2
 attacker lose -7 -4 -6 -8 -4 -2 -9 -3

  

Payoff Structure 2:   

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 38 4 1
 defender lose -10 -2-5 -1 -7 -6 -2 -1
 attacker win 9 8 2 9 10 1 10 1
 attacker lose -10 -1 -10 -8 -4 -10 -5 -3

   

Payoff Structure 3:   

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 53 3 6
 defender lose -2 -5-4 -6 -3 -10 -7 -2
 attacker win 8 6 1 3 1 7 3 5
 attacker lose -6 -9 -3 -7 -7 -2 -5 -2

  

Payoff Structure 4:   

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 5910 10  8 8
 defender lose -10 -4-9 -3 -10 -10 -2 -5
 attacker win 3 7 3 9 2 9 7 8
 attacker lose -4 -8 -5 -8 -9 -4 -1 -6

 

Payoff Structure 5:   

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 1 4 2   3  4 1 5 2
 defender lose -5 -8-1 -6 -5 -1 -7 -7
 attacker win 1 9 5 6 7 1 10 3
 attacker lose -2 -4 -3 -3 -3 -2 -4 -3

  

Payoff Structure 6:   

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 4 3 1  5  1  2  5 2
 defender lose -8 -10-1 -8 -1 -3 -11 -5
 attacker win 8 5 3 10 1 3 9 4
 attacker lose -3 -2 -3 -2 -3 -3 -2 -3

  

Payoff Structure 7:   

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 defender win 43 1  5  1  2  5 2
 defender lose -8 -5-1 -10 -5 -3 -9 -6
 attacker win 8 5 2 10 1 3 9 4
 attacker lose -3 -3 -3 -3 -3 -3 -3 -3

  

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 Defender's Mixed Strategy from different algorithms

Mixed Strategies for payoff structure 1: 

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.39 0.51 0.17  0.26  0.43 0.70 0.26 0.28 
 RPT 0.43 0.57 0.24 0.170.51 0.41 0.29 0.38
 BRQR
 0.57 0.58 0.18 0.210.51 0.47
 0.30 0.18
 COBRA 0.57 0.62 0.18 0.220.51 0.44 0.34 0.11
 DOBSS 0.49 0.53 0.150.360.44 0.59 0.37 0.07

 

Mixed Strategies for payoff structure 2: 

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.280.930.07 0.34 0.590.050.520.23 
 RPT 0.320.540.100.390.650.070.570.37
 BRQR
 0.54
0.52
0.21
0.36
0.64
0.16
0.58
0.00
 COBRA 0.480.530.090.43 0.740.000.700.02
 DOBSS 0.420.780.080.470.640.000.600.00

 

Mixed Strategies for payoff structure 3:  

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.420.240.29 0.19 0.090.780.280.72 
 RPT 0.460.270.380.230.120.800.340.40
 BRQR
 0.36
0.43
0.20
0.360.13
0.72
0.43
0.37
 COBRA 0.480.420.160.29 0.070.810.360.42
 DOBSS 0.530.370.120.250.060.720.310.64

 

Mixed Strategies for payoff structure 4:  

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.280.270.220.33 0.080.540.900.38 
 RPT 0.370.320.300.370.100.610.490.44
 BRQR 0.350.33
0.30
0.44
0.20
0.62
0.36
0.42
 COBRA 0.240.420.210.50 0.040.660.390.53
 DOBSS 0.220.370.190.440.050.580.690.47

 

Mixed Strategies for payoff structure 5:  

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.160.490.410.46 0.510.160.520.28 
 RPT 0.230.520.170.500.500.230.540.32
 BRQR 0.120.61
0.16
0.55
0.52
0.00
0.57
0.46
 COBRA 0.000.640.230.63 0.520.000.550.40
 DOBSS 0.000.590.450.510.560.000.620.27

 Mixed Strategies for payoff structure 6:  

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.490.460.210.67 0.050.210.640.29 
 RPT 0.540.530.070.550.070.270.630.35
 BRQR
 0.58
0.59
0.00
0.60
0.00
0.19
0.66
0.38
 COBRA 0.580.550.000.53 0.000.310.620.41
 DOBSS 0.560.450.190.680.000.190.650.30

 Mixed Strategies for payoff structure 7:  

  door 1door 2 door 3 door 4 door 5 door 6 door 7 door 8 
 BRPT 0.540.410.190.60 0.090.270.570.35 
 RPT 0.560.430.030.600.120.310.580.38
 BRQR
 0.590.440.00
0.63
0.08
0.22
0.60
0.45
 COBRA 0.570.480.000.59 0.000.330.560.47
 DOBSS 0.590.440.100.650.000.250.620.36

 

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 Subjects' choices Statistic

The bar displays the percentages of subjects that choses each door when playing against different mixed-strategies.