MA-351 Homework 5
Due Tuesday, Dec 5, 2023, 23:59pm

All solutions must be submitted on the Moodle web site for the class at wolfware.ncsu.edu. You may upload a photo of your handwritten solution or a file of your typed solution.
Note my office hours on my schedule.

Please give an example of a group profile such that Jean-Charles de Borda's count group consensus function violates Kenneth Arrow's Property 2 (Axiom 2) [Irrelevant Alternative]. As weights, please use $\frac{1}{N}$ for first place, $\frac{1}{N–1}$ for second place, $\frac{1}{N–2}$ for the third place, ..., $\frac{1}{1}=1$ for the last place, in the presence of $N$ candidates, where the smaller weighted Borda number ranks higher. Note that after eliminating the irrelevant alternative, the first place has weight $\frac{1}{N–1}$, the second place $\frac{1}{N–2}$ ..., the last place 1.