Logic doesn't dictate that everyone would want to circle A. Logic dictates that as soon as you are reasonably sure that someone is going to circle B, that you should circle B.Leaf wrote:The only way I could see someone picking "B" is if they were in some sort of competition with classmates, where your final term mark would give you some advantage, competetively. Otherwise, EVERYONE would pick A. Logic would state that everyone would want 100%.. and anyone that didn't would get a severe ass kicking later.
People like sticking it to other people who they think deserve it. If you have a class with all honor students, then probably they would all circle A. Similarly, if you have a class with all dishonor students, then they will probably all circle A. But have some sort of mixed class, and some dishonor student will be tempted to circle B, if only to make the honor students suffer.
Now, the trick is that he's losing a guaranteed 100% on his term paper. Which is very tempting. So the grade offer can't be too low, and 33% is probably too low. It means that even if he got full credit for the rest of his grade, that he'd still only get a 67% as a final score. That's a D, even if he does everything right. I don't think that many people would be willing to get a D just to see other people get Fs. There's not enough room between the grades to adequately laugh at the people who get Fs.
Now, if the score for circling a B was 80, I bet someone would do it. It would mean that the highest grade you could get was a 90. Basically, it drops you down a letter grade. Would it be worth it to someone in the class to sacrifice a letter grade in order to see lots of people in the class get Fs? Sure, there's enough room there to laugh at the person.
So the sweet spot is somewhere between 40 and 80. I don't think that most people who would want to see other people fail would crunch the numbers all that much though, instead relating the score to their own track record with regards to term papers in order to tell them when the score for circling B is high enough.
I think that around 70, I'd start to get nervous that some idiot would be willing to circle B, and I'd think long and hard about circling it too.
I had a teacher in 9th grade who gave us an option like this once, but just for a test (that was supposed to be superhard). Secret ballots were passed out. If everyone chose A, then we could skip the quiz, and everyone would get 90. If one person chose B, then that person would get 100, and everyone else would just take the quiz, and get their grade. If more than one person chose B, then we all took the quiz, and got our regular grades.
We all took the quiz and got our sad-ass grades, thanks to my idiot friend Marc (and one other genius who picked B).