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