Extraordinary joint meeting of the all-Moscow scientific seminars "Mathematical Methods for Analysis of Decisions in Economics, Business and Politics" (HSE) and "Expert Assessments and Data Analysis" (IPU RAS)
On March 27 (Wednesday), 2024, a extraordinary joint meeting of the all-Moscow scientific seminars "MATHEMATICAL METHODS FOR ANALYSIS OF DECISIONS IN ECONOMICS, BUSINESS AND POLITICS" (HSE) and "EXPERT ASSESSMENTS AND DATA ANALYSIS" (IPU RAS)
Doctor of Technical Sciences, prof. Fuad Tagievich Aleskerov,
Doctor of Technical Sciences, prof. Podinovsky Vladislav Vladimirovich,
Doctor of Technical Sciences, prof. Mirkin Boris Grigorievich.
Theme: Multi-Dimensional Social Choice under Frugal Information: The Tukey Median as Condorcet Winner Ex Ante
Speaker: Clemens Puppe (Karlsruhe Institute of Technology, Germany)
Abstract
We study a voting model with partial information in which the evaluation of social welfare must be based on information about agents’ top choices plus qualitative background conditions on preferences. The former is elicited individually, while the latter is not. The social evaluator is modeled as an imprecise Bayesian characterized by a set of priors over voters’ complete ordinal preference profiles. We apply this ‘frugal aggregation’ model to multi-dimensional budget allocation problems and propose a solution concept of ‘ex-ante’ Condorcet winners. We show that if the social evaluator has symmetrically ignorant beliefs over profiles of quadratic preferences, the ex-ante Condorcet winners refine the set of Tukey medians.
Language: English
Date
27 March