A selection rule takes three inputs i the number of reserved

Last updated: 3/14/2023

A selection rule takes three inputs i the number of reserved seats R and unreserved seats U ii the set of applicants and a list of which are eligible for reserved seats and iii a priority ordering of applicants From this it must output a set of applicants to select Say that two selection rules are equivalent if for every possible inputs they produce the same output Say that two selection rules are equivalent under condition C if for every inputs satisfying C they produce the same output Consider the selection rule defined by the following procedure similar to that used in Chile 1 Tentatively accept the R U highest ranked applicants 2 If the set of tentatively accepted applicants includes fewer than R reserve eligible applicants replace the lowest priority tentatively selected applicant who i NOT reserve eligible with the highest priority reserve eligible applicant who is NOT tentatively selected 3 Repeat step 2 until at least R reserve eligible applicants are tentatively selected Call this the minimum guarantee rule as it ensures that at least R reserve eligible candidates will be selected while having no effect if more than R reserve eligible candidates would have been selected naturally Let condition C be the condition that i there are more total applicants than total seats and ii there are more reserve eligible applicants than reserved seats Which of the following is correct The minimum guarantee rule is equivalent under condition C to the over and above rule The minimum guarantee rule is equivalent under condition C to the exemptions first rule The minimum guarantee rule is equivalent under condition C to both the over and above rule and the exemptions first rule The minimum guarantee rule is equivalent under condition C to neither the over and above rule nor the exemptions first rule