Assuming it can't super hack all computer systems and cripple competing SI incubation to at least increase its lead time indefinetly.
The assumption would be that in the lead time it has the super intelligence at least takes a small lead and undermines any paths a later arriving super intelligence could take to interfere with it's goals, which naturally includes stopping competing SIs from becoming more powerful in a way that could undermine it.
So assuming the super intelligence has goals and work towards them it will be initially trying to solidify its own power, iterating on that small lead, assuming it's the smartest super intelligence[1], should be enough to win. The scary part is that assuming no guardrails [2] it's going to be as ruthless as possible in achieving those goals. That does not necessarily mean it will appear ruthless in achieving those goals, just as ruthless as it judges optimal.
1. Which being so smart one of it's chores would have been reinvestment in making itself smarter than competition and being smarter than its makers has a good chance of actuating those self-improvements.
2. In the internal balancing of goals sense not the don't feed the mogwai after midnight sense.
The assumption would be that in the lead time it has the super intelligence at least takes a small lead and undermines any paths a later arriving super intelligence could take to interfere with it's goals, which naturally includes stopping competing SIs from becoming more powerful in a way that could undermine it.
So assuming the super intelligence has goals and work towards them it will be initially trying to solidify its own power, iterating on that small lead, assuming it's the smartest super intelligence[1], should be enough to win. The scary part is that assuming no guardrails [2] it's going to be as ruthless as possible in achieving those goals. That does not necessarily mean it will appear ruthless in achieving those goals, just as ruthless as it judges optimal.
1. Which being so smart one of it's chores would have been reinvestment in making itself smarter than competition and being smarter than its makers has a good chance of actuating those self-improvements.
2. In the internal balancing of goals sense not the don't feed the mogwai after midnight sense.