Half. The problem with this particular ‘dilemma’ is that the amount is enough to split.

RESPONSE
The question is unclear that the beneficial idea would somehow be hidden. For those of us who work in this field, we know that it is impossible to promote than intentionally hide such an idea.

Like most moral dilemma questions, the structure of the question is the problem, not human morality.  There are no moral dilemmas.

https://www.quora.com/How-would-you-respond-in-this-version-of-the-Ultimate-Game-a-famous-economic-experiment