Consider the following Compromising Managers choice function

Last updated: 3/27/2023

Consider the following Compromising Managers choice function for choosing a team of k people There are two managers of a team and each has submitted their own preference ranking of applicants They decide to choose applicants as follows First they choose the top applicant according to the list of the first manager Then they choose the highest ranked remaining applicant according to the list of the second manager Then they choose the highest ranked remaining applicant according to the list of the first manager then back to the second and so on until a total of k applicants have been selected Is this choice function guaranteed to be substitutable no matter how managers rank applicants Explain your answer using examples if needed Your explanation should demonstrate a clear understanding of the meaning of substitutability in this context