EURASIP Journal on Advances in Signal Processing

Table 6 Payoff function value for Tiffany image under JPEG2000 attack and the best selection of (N, M) is (6, 8) under acceptable image quality constraint

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

Image: Tiffany
	M
	Attacker
	1		2		3		4		5		6		7		8		9		10		11
N
Encoders
1	0.40	1.00*	0.40	0.59	0.40	0.57	0.40	0.53	0.40	0.50	0.40	0.48	0.40	0.44	0.40	0.38	0.40	0.30	0.40	0.19	0.39	0.00
2	0.81	1.00	0.54	0.74	0.52	0.69	0.53	0.66	0.52	0.62*	0.52	0.60	0.51	0.55	0.49	0.46	0.49	0.36	0.48	0.23	0.45	0.00
3	0.84*	0.97	0.65	0.88	0.63	0.84	0.62	0.77	0.61	0.72	0.61	0.70	0.59	0.65*	0.58	0.56	0.55	0.43	0.52	0.26	0.50	0.00
4	0.81	0.86	0.69	0.93	0.69	0.89	0.68	0.83	0.67	0.78	0.66	0.75	0.64	0.68*	0.64	0.60	0.61	0.45	0.58	0.29	0.54	0.00
5	0.77	0.74	0.71*	0.96	0.70*	0.90	0.69*	0.83	0.69	0.79	0.69	0.77	0.68	0.71	0.68	0.61*	0.64	0.46	0.62	0.30	0.60	0.00
6	0.74	0.63	0.71	0.98	0.70	0.92	0.69	0.86	0.70*	0.83	0.69*	0.81	0.70*	0.72	0.70*	0.63*	0.67*	0.48	0.64	0.31	0.63*	0.00
7	0.71	0.54	0.69	1.00	0.69	0.92	0.68	0.89	0.68	0.86	0.68	0.81	0.68	0.71*	0.69	0.60	0.67	0.48	0.66	0.33	0.61	0.00
8	0.68	0.43	0.68	1.00	0.67	0.92	0.67	0.89	0.67	0.87	0.67	0.81	0.67	0.70*	0.68	0.56	0.66	0.46	0.67*	0.32	0.62	0.00
9	0.65	0.34	0.65	1.00	0.65	0.93	0.64	0.91	0.64	0.87	0.65	0.82	0.66	0.71*	0.67	0.57	0.65	0.47	0.66	0.32	0.61	0.01
10	0.63	0.27	0.62	1.00	0.62	0.93	0.62	0.92	0.62	0.89	0.62	0.80	0.63	0.67*	0.63	0.54	0.63	0.48	0.63	0.32	0.60	0.03
11	0.60	0.20	0.60	1.00	0.60	0.95	0.60	0.93	0.60	0.89	0.60	0.79	0.60	0.65*	0.60	0.54	0.60	0.49	0.60	0.31	0.60	0.04

Note:
(1) The constraint for attacker of acceptable image quality μ = 0.609.
(2) * means the best selection from encoder's or attacker's payoffs.
(3) The underlined numbers (0.70*, 0.63*) represent the best selection of Nash Equilibrium after encoder's and attacker's payoff evaluation.

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