user15173: 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?

user4241: 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. 

15173: <p>Is it possible to build a system on top of bitcoin, where:</p>

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

<p>Is it possible on top of bitcoin, or would it need the design of a new system?</p>
 4241: <p>Yes, it's called a <a href="https://en.bitcoin.it/wiki/Contracts" rel="nofollow">Distributed Contract</a> or a <a href="https://en.wikipedia.org/wiki/Smart_contract" rel="nofollow">Smart Contract</a>. </p>

<p>Projects like <a href="https://www.ethereum.org/" rel="nofollow">Ethereum</a> are aiming to make this much more of a reality. Currently they're a bit of a pain to write. </p>
