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or once
:<math>V_t \ge \overline{V_t}\,</math>
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==A Basic Model==
===The players===
The players are an Entrepreneur and a VC, both are risk neutral.
===The Value Function===
should do us just fine. Having <math>k>0\,</math> will force a finite number of rounds as the optimal solution providing there is a stopping constraint on <math>V_t\,</math> (so players don't invest forever).
I think the best idea for a stopping constraint is to have the exit occur when :<math>V_t \ge \overline{V}\,</math> with :<math>\overline{V} \sim F(V)\,</math> where the distribution is known to both parties. ====Old Ideas==== There are some other methods that come to mind:
we could force an exit once
:<math>\sum_t (x_t) \ge \overline{x}\,</math>
or we could try to induce an optimum value
