Could someone give me a list of real use cases of Paxos. That is real problems that require consensus as part of a bigger problem.
Is the following a use case of Paxos?
Suppose there are two clients playing poker against each other on a poker server. The poker server is replicated. My understanding of Paxos is that it could be used to maintain consistency of the inmemory data structures that represent the current hand of poker. That is, ensure that all replicas have the exact same inmemory state of the hand.
But why is Paxos necessary? Suppose a new card needs to be dealt. Each replica running the same code will generate the same card if everything went correct. Why can't the clients just request the latest state from all the replicated servers and choose the card that appears the most. So if one server had an error the client will still get the correct state from just choosing the majority.
You assume all the servers are in sync with each other (i.e., have the same state), so when a server needs to select the next card, each of the servers will select the exact same card (assuming your code is deterministic).
However, your servers' state also depends on the the user's actions. For example, if a user decided to raise by 50$ - your server needs to store that info somewhere. Now, suppose that your server replied "ok" to the web-client (I'm assuming a web-based poker game), and then the server crashed. Your other servers might not have the information regarding the 50$ raise, and your system will be inconsistent (in the sense that the client thinks that the 50$ raise was made, while the surviving servers are oblivious of it).
Notice that majority won't help here, since the data is lost. Moreover, suppose that instead of the main server crashing, the main server plus another one got the 50$ raise data. In this case, using majority could even be worse: if you get a response from the two servers with the data, you'll think the 50$ raise was performed. But if one of them fails, then you won't have majority, and you'll think that the raise wasn't performed.
In general, Paxos can be used to replicate a state machine, in a fault tolerant manner. Where "state machine" can be thought of as an algorithm that has some initial state, and it advances the state deterministically according to messages received from the outside (i.e., the web-client).
More properly, Paxos should be considered as a distributed log, you can read more about it here: Understanding Paxos – Part 1