In the real world, a increases with N. If Carol has more admirers, she is probably more attractive, so the reward value of getting her number increases. So p_none = (b/a)^{N / (N - 1)} may actually decrease as Carol becomes more attractive.
This is why attractive people don't automatically have fewer suitors.
In the real world, a increases with N. If Carol has more admirers, she is probably more attractive, so the reward value of getting her number increases. So p_none = (b/a)^{N / (N - 1)} may actually decrease as Carol becomes more attractive.
This is why attractive people don't automatically have fewer suitors.