During my Senior year, I engaged in a directed study under the guidance of Professor Lefteris Kirousis, which centered on the field of social choice theory, specifically voting and judgement theory. As part of my study, I prepared the slides below to analyze and present my understanding of the material covered, some of which has been used for external talks. A key reference used in the preparation of these slides was Professor Kirousis’ paper, “Aggregation of Votes with Multiple Positions on Each Issue” published in 2016.
- Borda Rule & Campbell-Kelly Theorem
- Proof of Rule Equivalence
- Judgement aggregation and List & Pettit
- Binary and Ternary Aggregator
- Monomorphic Aggregator
- Lemma 3.5 on Projections
- Examples and Generalization for Lemma 3.5
- Eric Maskin paper on MIIA
- Modified IIA and Borda Count
- Positional Scoring Rules and NMIIA