EURASIP Journal on Advances in Signal Processing

Table 5 Payoff function value for Lena image under JPEG2000 attack and the best selection of (N, M) is (7, 7) under acceptable image quality constraint

From: A game-theoretic architecture for visible watermarking system of ACOCOA (adaptive content and contrast aware) technique

Image: Lena
M
Attacker
	1		2		3		4		5		6		7		8		9		10		11
N
Encoders
1	0.40	1.00*	0.40	0.60	0.40	0.58	0.40	0.55	0.40	0.52	0.40	0.50	0.40	0.46	0.40	0.39	0.40	0.33	0.40	0.21	0.39	0.00
2	0.83*	1.00	0.54	0.80	0.53	0.76	0.52	0.72	0.52	0.67	0.51	0.64*	0.51	0.59	0.50	0.50	0.49	0.43	0.46	0.25	0.47	0.00
3	0.81	0.95	0.63	0.91	0.62	0.87	0.60	0.83	0.60	0.78	0.59	0.74	0.58	0.68*	0.57	0.58	0.55	0.49	0.52	0.31	0.49	0.00
4	0.79	0.83	0.68	0.94	0.67	0.87	0.66	0.84	0.65	0.79	0.64	0.76	0.64	0.69*	0.61	0.59	0.59	0.49	0.56	0.30	0.57	0.00
5	0.76	0.74	0.70	0.96	0.70	0.91	0.69*	0.86	0.69*	0.83	0.68*	0.79	0.68	0.71*	0.65	0.61	0.64	0.51	0.62	0.33	0.59	0.00
6	0.73	0.65	0.70*	0.98	0.70*	0.91	0.68	0.87	0.69	0.83	0.68	0.78	0.68	0.71*	0.68	0.61	0.66	0.52	0.62	0.33	0.61	0.00
7	0.71	0.57	0.70	1.00	0.69	0.93	0.68	0.89	0.68	0.86	0.68	0.78	0.69*	0.72*	0.68*	0.62	0.68	0.52	0.64	0.34	0.62	0.00
8	0.68	0.49	0.68	1.00	0.67	0.95	0.66	0.91	0.66	0.85	0.67	0.79	0.67	0.70*	0.66	0.59	0.68*	0.52	0.62	0.32	0.63*	0.00
9	0.65	0.41	0.66	1.00	0.64	0.94	0.64	0.93	0.65	0.88	0.66	0.79	0.66	0.67*	0.64	0.59	0.68	0.53	0.64	0.33	0.62	0.01
10	0.63	0.37	0.63	1.00	0.63	0.97	0.63	0.95	0.63	0.91	0.64	0.80	0.62	0.67*	0.62	0.60	0.64	0.50	0.65*	0.36	0.57	0.02
11	0.60	0.30	0.60	1.00	0.60	0.98	0.60	0.95	0.60	0.88	0.60	0.76	0.60	0.66*	0.60	0.60	0.60	0.47	0.60	0.34	0.61	0.04

Note:
(1) The constraint for attacker of acceptable image quality μ = 0.626.
(2) * means the best selection from encoder's or attacker's payoffs.
(3) The underlined numbers (0.69*, 0.72*) represent the best selection of Nash Equilibrium after encoder's and attacker's payoff evaluation.

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