Equilibria of channel selection games in parallel multiple access channels

EURASIP Journal on Wireless Communications and Networking

Table 1 Potential function ϕ of the game $G_{(a)}$ , with K = 2 and S = 2

$T_{x_{1}} ∖ T_{x_{2}}$	p₂ = (p_max, 0)	p₂ = (0, p_max)
p₁ = (p_max, 0)	$\begin{matrix} \frac{1}{2} {log}_{2} (σ^{2} + p_{max} (g_{11} + g_{21})) \\ + \frac{1}{2} {log}_{2} (σ^{2}) \end{matrix}$	$\begin{matrix} \frac{1}{2} {log}_{2} (σ^{2} + p_{max} g_{11}) \\ + \frac{1}{2} {log}_{2} (σ^{2} + p_{max} g_{22}) \end{matrix}$
p₁ = (0, p_max)	$\begin{matrix} \frac{1}{2} {log}_{2} (σ^{2} + p_{max} g_{12}) \\ + \frac{1}{2} {log}_{2} (σ^{2} + p_{max} g_{21}) \end{matrix}$	$\begin{matrix} \frac{1}{2} {log}_{2} (σ^{2} + p_{max} (g_{12} + g_{22})) \\ + \frac{1}{2} {log}_{2} (σ^{2}) \end{matrix}$