EURASIP Journal on Wireless Communications and Networking

Table 7 Nash equilibrium and players’ utility in the commercial network

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

Nash equilibrium	Players’ utility
$p_{1}^{} = 0.26984$ , $q_{1}^{} = 0.46154$	$u_{A} (p_{1}^{}, q_{1}^{}) = 0.093407$ , $u_{D} (p_{1}^{}, q_{1}^{}) = - 0.18676$
$p_{2}^{} = 0.31746$ , $q_{2}^{} = 0.36583$	$u_{A} (p_{2}^{}, q_{2}^{}) = 0.10989$ , $u_{D} (p_{2}^{}, q_{2}^{}) = - 0.17233$
$p_{3}^{} = 0.4127$ , $q_{3}^{} = 0.17308$	$u_{A} (p_{3}^{}, q_{3}^{}) = 0.14286$ , $u_{D} (p_{3}^{}, q_{3}^{}) = - 0.1752$
$p_{4}^{} = 0$ , $q_{4}^{} = 0$	$u_{A} (p_{4}^{}, q_{4}^{}) = 0$ , $u_{D} (p_{4}^{}, q_{4}^{}) = 0$

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