difficulty value vs. computational power

Question

Assume a miner has a computational power q while the rest of the network has a computational power p = q-1.

Based on Relationship between Hash-Rate and Difficulty: difficulty = hashrate / 7158388.055.

How are p and q related to that?

What I am trying to figure out is, assuming we have a miner that has 50% of computational power, will the difficulty value change so that miner still finds a block in 10 minutes?

If that is the case, won't that difficulty value be too high for the miners that have much smaller computational power?

Answer 1

What I am trying to figure out is, assuming we have a miner that has 50% of computational power, will the difficulty value change so that miner still finds a block in 10 minutes?

The difficulty value will change so that a block is found, on average, every ten minutes.

If that is the case, won't that difficulty value be too high for the miners that have much smaller computational power?

Each miner will still have a probability of finding a block proportional to their hashing power.

Say you're a miner who finds a block every 30 minutes -- you'll be finding roughly one out of three blocks. If the difficulty doubles, you will now find a block every 60 minutes -- you'll be finding roughly one out of every six blocks.