Civilization 5 calculates the most reasonable number of cities

The number of cities and research efficiency! The most reasonable number of cities! (Dedicated to those who want to experience the game from ancient times to the future.)

Bored in the middle of the night == I suddenly thought of this question - - but how many cities are the most reasonable for research - -?

So no more nonsense - - on the topic = =

Suppose technology needs flasks is Y, a single city every turn to produce flasks X, then single city scientific research efficiency is Y/X

Set the increase in the number of cities is a, the scientific research efficiency of more than one city is [Y * (1.1 ^ a)]/(X + 0.7aX)

Explanation = = = 。。。。 . 0.7 is assuming that the flask production of the added cities is all 70% of the capital city

The final simplified form of the multi-city research efficiency is (Y/X)*[1.1^a/(1+0.7a)]

Because Y/X is a fixed value here, the multi-city research efficiency depends on the size of 1.1^a/(1+0.7a) Note !!!! The smaller the better !!!!!!!!!!

I'm too lazy to do the math, but 8 cities is basically the same as 10, and 9 cities is the best

But that's the ideal -- assuming that the flasks produced by the added cities are 70% of the capital city's production is the premise. I haven't bothered to actually do the math to see if it's 70% or 80% but I have a feeling it's basically at a slightly higher 70%, after all, capitals aren't the same concept as sub-cities, both in terms of infrastructure and population.

And a word of warning - don't underestimate the 10% increase in research consumption for each sub-city ==!!!! !!! at 9 cities the research consumption is 2x that of a single city, and at 15 cities the research consumption is a full 4x that of a single city !!!!!!!!

So one time when I was over-expanded - - my research was not mentioned - -