All of the retirement literature I see for people in that position seems to use the following general approach:
Find your total annuitized income (Social Security, any defined-benefit pension annuity, etc)
Take a specific percentage of your total savings (generally near 4%) as the income per year you can draw from your savings (and increase this by inflation in each successive year)
Adjust your spending to that total amount/year (and spend that same amount in real $ for all your retirement)
The underlying assumption is that with the right asset allocation and constant spending (in real $) you won't run out of money for your entire retirement, right up to your mid 90's (or whatever other age you choose).
The economics and finance approach to retirement planning is to determine a reasonable level of aspirational spending in retirement and a floor level of spending in retirement and attempt to have enough retirement income to reach the aspirational goal and definitely have enough retirement income to achieve the floor spending goal. In other words, the retirement income goals drive the plan - It is not simply whatever, when you get to retirement.
Now moving on to your question of constant income and spending throughout retirement. There is a substantial body of work close to that in academia, but it rarely gets discussed at Bogleheads etc. I think there are two reasons it doesn't get discussed much. It is somewhat morbid, and there is no easy rule of thumb solution.
It's perhaps easiest to see by stylized example. Consider a single 65 year old male retiring on his birthday. Unless he is particularly unhealthy on his 65th birthday, there is over a 99% probability he will be around to celebrate his 66th birthday one year later. However, there is a less than 50% probability he will live to celebrate his 86th birthday. His chances of celebrating his 90th birthday are much lower than 50%, and his chances of living to 100 are less than 2%. So the question becomes, do you want to plan on spending
the same amount in a year where you have a 99% chance of being alive as a year when you have a 40% chance or less of being alive?
There is no neat solution to this. It depends on your preferences (your utility function). If you are very averse to longevity risk you will plan to have the same income from your initial retirement year to age 100 & beyond. If you are not very risk averse to longevity risk you will plan to spend considerably more in early retirement, but every year you survive you will taper down your current and future income & spending plans as you continue to survive. How much, however, is up to you. It depends on your longevity risk preference.