Have a thousand people throw in a thousand bucks, each one selects an option play to purchase. Randomly select the purchase. If the play is profitable, keep the money. if it's a loss get the trade reverted because 'a lot of people were involved in the process.' I can make the process as convoluted an necessary to meet your 'no one person you can lay blame on' rule.
I think that's a stupid rule, because it's so easy to hack.
The more money staked on a trade, the higher the threshold should be to roll it back. More people mean more chances to catch the error, not the other way around.
edit
also, the corporation itself is the person that takes the blame. if it can't manage itself, it shouldn't manage your money.