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Table 6 Nash equilibrium and players’ utility in the military network

From: Security and quality of service (QoS) co-design in cooperative mobile ad hoc networks

Nash equilibrium

Players’ utility

p 1 ∗ =0.23256, q 1 ∗ =0.4

u A ( p 1 ∗ , q 1 ∗ )=0.062792, u D ( p 1 ∗ , q 1 ∗ )=-0.069271

p 2 ∗ =0.30814, q 2 ∗ =0.35

u A ( p 2 ∗ , q 2 ∗ )=0.083198, u D ( p 2 ∗ , q 2 ∗ )=-0.088225

p 3 ∗ =0.4593, q 3 ∗ =0.25

u A ( p 3 ∗ , q 1 ∗ )=0.12401, u D ( p 1 ∗ , q 1 ∗ )=-0.12759

p 4 ∗ =0 q 4 ∗ =0

u A ( p 4 ∗ , q 4 ∗ )=0, u D ( p 4 ∗ , q 4 ∗ )=0