If I had taught that class I would have emphasized that Arrow’s theorem involves discrete choices. There are many ways around it using continuous choices. Thus, cake cutting should not be surprised.
Also, I would have emphasized n=2. Arrow’s theorem is obvious in that case. And everyone knows how to cut cake into two pieces.
Yeah, it seems as though that would have been a better approach. I never got that.
But the class was almost three years ago and it was just a one credit hour Credit/No Credit “freshman honors symposium”. It wasn’t exactly the most rigorous of introductions.
If I had taught that class I would have emphasized that Arrow’s theorem involves discrete choices. There are many ways around it using continuous choices. Thus, cake cutting should not be surprised.
Also, I would have emphasized n=2. Arrow’s theorem is obvious in that case. And everyone knows how to cut cake into two pieces.
Yeah, it seems as though that would have been a better approach. I never got that.
But the class was almost three years ago and it was just a one credit hour Credit/No Credit “freshman honors symposium”. It wasn’t exactly the most rigorous of introductions.