I am a PhD student in the field of wireless communications and networking engineering. There is a bible figure paper in the field, on which I am primarily relying on for my current part of dissertation research.
In the paper, there is a set of simultaneous equations given below $$ \begin{equation} \tau\left(p\right) = \frac{2(1-2p)}{(1-2p)(W+1)+pW(1-(2p)^m)} \end{equation} $$ and $$ \begin{equation} p = 1 - (1-\tau)^{n-1} \end{equation} $$ where $W$, $m$, and $n$ are constant natural numbers.
I am expecting that with a set of $(W,m,n)$, there can be something like a table of values of $\tau$ and $p$. The author stated in the paper, "It is easy to prove that this system has a unique solution," but didn't specify the solution and the numerical method of solving the equations.
I tried Wolfram Alpha on the Web and "solve" function in MATLAB to see neither worked.
Could you guys kindly help me solve this?