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> If the subway costs $1 and 50% of the jump the turn-style 50% of the time the cost to ride the subway in aggregate is $0.75

No, you have jumpers whose aggregate cost is $0.50 and non-jumpers whose aggregate cost is $1.00. The revenues realized are $0.75 a ride, but the costs aren't distributed evenly. If the jumpers were caught, then the cost could decline to $0.75, the nonjumpers would pay less and the jumpers would pay more. That world is better for the half of the population that doesn't jump.




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