Say we have two miners, Alice (an honest miner), and Eve (an evil miner).

My understanding is that when Alice mines a block she advertises it to the network, and once it's part of the longest block chain Alice earns mining reward + eventual transactions fees.

But could Eve steal this block (and the associated reward + fees)? When Alice publishes the block to the network, what happens if Eve republishes it as its own block? What if Eve is able to propagate the news that she mined the block herself in the network than Alice can?

I'm pretty sure bitcoin has some mechanism around this issue and I'm curious to see how it works.

Say we have two miners, Alice (an honest miner), and Eve (an evil miner).

My understanding is that when Alice mines a block she advertises it to the network, and once it's part of the longest block chain Alice earns mining reward + eventual transactions fees.

But could Eve steal this block (and the associated reward + fees)? When Alice publishes the block to the network, what happens if Eve republishes it as its own block? What if Eve is able to propagate the news that she mined the block herself in the network than Alice can?

I'm pretty sure Bitcoin has some mechanism around this issue and I'm curious to see how it works.