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→The Value Function
where the distribution is known to both parties.
Actually, given how we built <math>f</math> and <math>V</math>, <math>V</math> is concave, so it should have a natural maximum (where the marginal increase in value will be equal the marginal cost which is <math>k</math>), so I don't think we need to go that far with the exit value.
However, I wanted to start much simpler - assume there is a fixed number of rounds and investments, how does the optimal policy compare to the current way of calculating shares and values?
====Old Ideas====
