All considered to have Reaction 4 and Intuition 4 (values used due to being higher than Human average, but not vastly so).
Average is the only thing accounted for, lower number is assuming 3 average and higher is assuming 4 average (different people in my experience count it differently).
Non-Wired: 11 or 12 average Initiative
Non-Wired with Blitz: 23 to 28 Initiative
Wired 1: 15 to 17 Initiative
Wired 2: 19 to 22 Initiative
Wired 3: 23 to 27 Initiative
Wired 1 + Reaction Enhancer 1: 17 to 18
Wired 1 + Reaction Enhancer 2: 18 to 19
Wired 1 + Reaction Enhancer 3: 19 to 20
Wired 2 + Reaction Enhancer 1: 20 to 23
Wired 2 + Reaction Enhancer 2: 21 to 24
Wired 3 + Reaction Enhancer 1: 24 to 28
For Blitz with the Wired individuals:
Wired 1 – Add 9 to lower or 12 to higher
Wired 2 – Add 6 to lower or 8 to higher
Wired 3 – Add 3 to lower or 4 to higher
On the low-end average it takes Wired level 3 to, on average, go before the Non-Wired individual multiple times, and on high-end average it takes Wired level 2 + Reaction Enhancer level 1 to do so. With both, the Wired individual has paid so much in nuyen and Essence that he should be going before the Non-Wired.