Have you looked at the state of the world? "Let the money vote" works better than "let anyone just commandeer the finite resource, but only once", if nobody immoral enough to exploit it learns about vulnerabilities in your system.

If I can use my money to vote for "give me more money" at a profit, and I have no qualms about doing so, then I win – and if we play multiple such games with the same money, then we end up with a situation that's worse than "let anyone commandeer the resource".