Electoral David vs Goliath: How does the Spatial Concentration of
Electors affect District-based Elections?
- URL: http://arxiv.org/abs/2006.11865v1
- Date: Sun, 21 Jun 2020 18:17:57 GMT
- Title: Electoral David vs Goliath: How does the Spatial Concentration of
Electors affect District-based Elections?
- Authors: Adway Mitra
- Abstract summary: district-based elections where there is a "seat" for each district in the governing body.
In each district, the party whose candidate gets the maximum number of votes wins the corresponding seat.
locations of the electors and boundaries of the districts may severely affect the election result even if the proportion of popular support of different parties remains unchanged.
This has led to significant amount of research on whether the districts may be redrawn or electors may be moved to maximize seats for a particular party.
- Score: 0.5076419064097732
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Many democratic countries use district-based elections where there is a
"seat" for each district in the governing body. In each district, the party
whose candidate gets the maximum number of votes wins the corresponding seat.
The result of the election is decided based on the number of seats won by the
different parties. The electors (voters) can cast their votes only in the
district of their residence. Thus, locations of the electors and boundaries of
the districts may severely affect the election result even if the proportion of
popular support (number of electors) of different parties remains unchanged.
This has led to significant amount of research on whether the districts may be
redrawn or electors may be moved to maximize seats for a particular party. In
this paper, we frame the spatial distribution of electors in a probabilistic
setting, and explore different models to capture the intra-district
polarization of electors in favour of a party, or the spatial concentration of
supporters of different parties. Our models are inspired by elections in India,
where supporters of different parties tend to be concentrated in certain
districts. We show with extensive simulations that our model can capture
different statistical properties of real elections held in India. We frame
parameter estimation problems to fit our models to the observed election
results. Since analytical calculation of the likelihood functions are
infeasible for our complex models, we use Likelihood-free Inference methods
under the Approximate Bayesian Computation framework. Since this approach is
highly time-consuming, we explore how supervised regression using Logistic
Regression or Deep Neural Networks can be used to speed it up. We also explore
how the election results can change by varying the spatial distributions of the
voters, even when the proportions of popular support of the parties remain
constant.
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