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You are here: Home Seminars 07.11. BGSE Micro Workshop: Benny Moldovanu

07.11. BGSE Micro Workshop: Benny Moldovanu

BGSE Micro Workshop with Benny Moldovanu (University Bonn)

Event details
What
  • BGSE Workshop
When Nov 07, 2018
from 12:00 to 13:00
Where room 0.017
Contact Name Stephan Lauermann
Contact Email
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Topic

 Monotonic Norms, Orthogonality and Incentive  Compatibility in Multidimensional Voting


Abstract

 We study issue-by-issue voting and robust mechanism design in multi-dimensional frameworks where privately informed agents have preferences induced by general norms (distances). We uncover the deep connections between dominant strategy incentive compatibility (DIC) on the one hand, and several geometric/functional analytic concepts on the other. Our main results are: 1) Marginal medians are DIC if and only if they are calculated with respect to a basis such that the norm is orthant-monotonic in the associated coordinate system. 2) Equivalently, marginal medians are DIC if and only if they are computed with respect to coordinates determined by an Auerbach basis such that, for any vector in the basis, any linear combination of the other vectors is Birkhoff-James orthogonal to it. 3) We show how semi-inner products and normality provide an analytic method that can be used to compute all DIC marginal medians. 4) As an application, we derive all DIC marginal medians for lp spaces of any finite dimension, and show that they do not depend on p (unless p = 2)
 

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