08/02/2023, h. 14:00 – 16:00
Politecnico di Milano, Campus Leonardo, Edificio 29, SALA Riunioni
From Borda and Condorcet to Arrow’s theorem. Trade-offs and power indices
Seminar Series “Decision Aiding for Policy Design and Evaluation”
In this talk we focus upon the preference aggregation problem: supposing having a set of preference relations applied upon a given set A, how these can be aggregated to a single overall binary relation? Which properties can be satisfied and which are the ones we want to be satisfied? Under which conditions such an aggregated preference relation has a numerical presentation? We introduce the archetypes of the Borda and Condorcet preference aggregation procedures and we show Arrow’s impossibility theorem. We then show why second order preference relations are not primitives and how can be constructed out of multi-attribute preference profiles.
Relatore: Alexis Tsoukiàs, CNRS-Lamsade, PSL University, Université Paris
Discussant: Maria Franca Norese, DIGEP Politecnico di Torino
Alexis Tsoukiàs (Greece, 1959) is a CNRS Research Director at LAMSADE, PSL University, Université Paris Dauphine. He holds (1989) a PhD in Computer Science and Systems Engineering from the Technical University of Torino (Italy) where he also graduated engineering studies. His research interests include subjects such as multiple criteria decision analysis, non-conventional preference modelling, policy analytics, applied non-classical logics, ordinal mathematical programming, artificial intelligence and decision theory https://www.lamsade.dauphine.fr/~tsoukias/.
Responsabile: Alessandra Oppio