Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Distortion Value of the Elections with Abstention   In Spatial Voting Theory, distortion is a measure of how good the winner is.
It is proved that no deterministic voting mechanism can guarantee a distortion
better than $3$, even for simple metrics such as a line. In this study, we wish
to answer the following question: how does the distortion value change if we
allow less motivated agents to abstain from the election?
  We consider an election with two candidates and suggest an abstention model,
which is a more general form of the abstention model proposed by Kirchgassner.
We define the concepts of the expected winner and the expected distortion to
evaluate the distortion of an election in our model. Our results fully
characterize the distortion value and provide a rather complete picture of the
model.

35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat