Shepsle, K. (1979), Institutional Arrangements and Equilibrium in Multidimensional Voting Models

From edegan.com
Revision as of 19:15, 29 September 2020 by Ed (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Article
Has bibtex key
Has article title Institutional Arrangements and Equilibrium in Multidimensional Voting Models
Has author Shepsle, K.
Has year 1979
In journal
In volume
In number
Has pages
Has publisher
© edegan.com, 2016

Back to BPP Field Exam Papers 2012

Paper's Motivation

McKelvey's Chaos Thm: In a multidimensional spacial settings, unless points are distributed in a rare way (like radially symmetric), there is no Condorcet winner, and whoever controls the order of voting can make any point the final outcome.

In response, the author considers voting on one 'attribute' or dimension at a time.

Model

Consider a two-dimensional case. Any policy [math]z_{i}[/math] is characterized by coordinates [math](x_i, y_i)[/math].

Result

In first stage we vote on [math]x_{i}[/math]. and obtain policy equal to median voters bliss point [math]x_{m}[/math]. In second stage we vote on [math]y_i[/math] and obtain policy equal to median voters bliss point [math]y_m[/math], so we obtain unique outcome [math]z=(x_m, y_m)[/math]. Notice, that with this sequential voting, we do not get the median policy, but the median policy by dimension.