Two travelers buy identical handcrafted souvenirs and pack them in their respective suitcases for their return flight. Unfortunately, the airline manages to lose both suitcases. Because the airline doesn't know the value of the lost souvenirs, it asks each traveler to report independently a value. The airline agrees to pay each traveler an amount equal to the minimum of the two reports. If one report is higher than the other, the airline takes a penalty of $20 away from the traveler with the higher report and gives $20 to the traveler with the lower report. If the reports are equal to one another, there is no reward or penalty. Neither traveler remembers exactly how much the souvenir cost, so that value is irrelevant; each traveler simply reports the value that her type determines she should report.

There are two types of travelers. The High type (H) always reports $110, and the Low type (L) always reports $44, where L and H denote the fraction of travelers associated with their corresponding types.

Question: What is the fraction of low type travelers (L) required to achieve an unstable polymorphic equilibrium?

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