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Mini Course on the Theory of Aggregation (1/2)
Intervenant(s) : Dr. Ulle ENDRISS (ILLC, University of Amsterdam)This mini course will provide an introduction to the theory of aggregation, ranging from the presentation of classical results in social choice theory to the discussion of some recent research conducted in Amsterdam. No specific technical background will be required to follow these lectures.
Lecture 1: Preference and Graph Aggregation. This lecture will be an introduction to voting theory and preference aggregation using the axiomatic method. We will cover a number of basic aggregation rules, the Condorcet paradox, May's Theorem, and Arrow's Theorem. In the final part of the lecture we will discuss recent work on generalising the framework of preference aggregation to graph aggregation, which besides modelling elections also has applications in fields such a clustering and abstract argumentation.
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