Proof of work or proof of stake, whats the difference?

The following algorithms depicted below are major consensus algorithms used in the blockspace today.
The POW(Proof-of-work) algorithm is what bitcoin is famous for, does the following; it rewards miners that are racing to add a set a set of transactions in a chain by solving a extremely difficult cryptographic puzzle. The first to solve the cryptographic puzzle wins the lottery and receives 12.5 newly minted bitcoins, and a reduced transaction fee. The POW algorithm ensures that the next block in a blockchain being mined is the one and only version of the truth and it keeps powerful entities from derailing the system and successfully forking the chain.
The POS(Proof-of-stake algorithm) is when a validator invests in the coins of the system. In a POS algorithm your chance of being picked to create the next block depends on the fraction of coins in the system you own. A validator with 300 coins will be three times more likely to be chosen as someone with 100 coins.
The DPOS(Delegated-Proof-of-Stake) is seen as a technological democracy in short, consisting of a cryptocurrency, a blockchain, community of people, computers and rules, it is an improvement to the Proof of work algorithm as It uses less electricity, is way faster and less centralized.
The algorithim uses witnesses and only the top 100 witnesses are paid for their service. The more coins or stake a witness has, the more vote power the witness has.
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