Toygar Kerman (Corvinus University) will “Nested Self-Selectivity” (with Semih Koray, Bilkent University) on October 4th, 2024, at 10:30 AM, in room QA406.
Abstract:
A society that will make a choice from a set of alternatives might also need to choose the choice rule that will be employed to make the choice. In such a situation, the notion of self-selectivity requires a social choice function (SCF) to choose itself among a set of rival SCFs. However, verifying self-selectivity might be difficult as the set of rival SCFs may be very large. We show that self- selectivity of an SCF (that satisfies independence of irrelevant alternatives) relative to some very large sets of SCFs can be verified by checking self-selectivity relative to a much smaller set of SCFs that is nested in the large set. Moreover, we show that if an SCF is self-selective relative to two different sets of rival functions, then it is self-selective relative to the intersection and union of these sets.