How about if we use Proof by public ip? this is something which can be proved and the node can't change it. The node with the closest public ip address to the ip address of the node which created the last block, will create the next block. For example node A which created the last block has ip 10.0.0.1 and we have node B with ip 10.0.0.9 and node C with ip 10.0.0.3 then node C will be chosen as its ip is closer in value to node A
Doesn't work. Nodes do not hold a database for the IPs which runs a Bitcoin node. If this were to happen, all of the nodes on the network would have to be actively pinging each other to find out which of the nodes have the closest IP to the last block creator. This would effectively just be a DOS on everyone in the world.
Needless to say, its not incredibly expensive to obtain IPs in the same block. Most of the IPs are dynamic IP so it would change periodically and its hard to keep up.
Or even easier than that, we can choose according to the node bitcoins balance, i.e. the node with the closes balance of bitcoins to the node which win last. So if node A was the last to commit to chain and has balance of 3.0 bitcoins, and we have node B with balance 4.0 and node C with balance 3.5, then node C wins. or to even make it more random to avoid group of users from tempering with their balances in order to win in order, we can hash the balance with their public key, then compare to last committer hashed balance. And this is something which can easily be proved from the ledger that everybody have.
Nodes do not have a balance to it, addresses do. Nodes would have to prove that they own a specific amount of Bitcoin and with that, you'll have to get the signed message broadcasted to everyone. That's very inefficient to do with the number of nodes in the network. By telling everyone which node owns which addresses, you will be compromising privacy.
It's easy to manipulate if I setup thousands of nodes with a satoshi difference with each other.
