Is it possible to create a system for 'shared wallets' on top of bitcoin?

Question

Is it possible to build a system on top of bitcoin, where:

• Random people will deposit money in a wallet X.
• Nobody has access to that wallet.
• After a few months, those users will vote in other wallets for the money in wallet X to go.
• The money in wallet X is distributed between those wallets.

Is it possible on top of bitcoin, or would it need the design of a new system?

Answer 1

Yes, it's called a Distributed Contract or a Smart Contract.

Projects like Ethereum are aiming to make this much more of a reality. Currently they're a bit of a pain to write.