The Active Scientist will eventually reach a point where they feel that the Current Hypothesis is invalid, or that increasing the Hypothesis would be ludicrous. When this happens, they call the last scientist’s hypothesis UNFOUNDED and say “PROVE IT!”
The Scientist whose science prevails (either because they debunked another Scientist or were confirmed to be correct) becomes the new First Scientist in the next experiment, wins the deal, and bids in the first round.