The Majoritarian Compromise in Large Societies

Arkadii Slinko

Abstract

First, we dwell on the definition of the Majoritarian Compromise in the case of an odd number of alternatives. Then, assuming the Impartial Culture hypothesis we calculate the average maximum welfare achievable by the Majoritarian Compromise procedure and show that this social choice rule is asymptotically stable with
the proportion of the number of unstable profiles to the total number of profiles being in the order of $Oleft(1/sqrt{n}right)$, where $n$ is the total number of agents.

Keywords
majoritarian compromise, maximum majority welfare, asymptotic stability, asymptotic strategy-proofness

Math Review Classification
Primary 91B14 ; Secondary 91B!2

Last Updated
21 June 2002

Length
10 pages

Availability
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