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Questions tagged [voting]

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2
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1answer
41 views

Uncovered set versus top cycle set (voting theory)

I am struggling to see when, given a policy set $X = {x_{1}, … , x_{m}} $ , with $m > 1$, its uncovered set and top cycle set may not coincide (i.e. when the top cycle set has policies that are ...
1
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0answers
14 views

Feasible approaches to allocate n unique indivisable items among n individuals

Suppose I have n individuals and n unique, indivisible objects of potential value. I want to allocate those objects so as to make total welfare as great as possible, subject to the constraint that no ...
1
vote
1answer
76 views

Majority Rule and Single Peakedness

Majority Rule will induce non empty choice set if individual preferences are single peaked Is this statement true? I have some trouble in understanding the meaning of 'single peakedness' in context ...
2
votes
1answer
66 views

Question about the “No Dictator” Criterion in Arrow's Impossibility Theorem

I have a question about Arrow's impossibility theorem. I'm not sure I understand exactly what is meant by the "no dictator" criterion. Does the presence of a "dictator" mean that across all possible ...
5
votes
2answers
98 views

Weighted voting: Vote of representative weighted by number of election votes

I was wondering if there is any literature on voting systems where voters elect representatives, and in the representatives' assembly the vote of each representative is weighted by the number of votes ...
1
vote
0answers
39 views

Is quadratic voting efficient in multiple winner elections?

Quadratic voting approximates efficiency for a large collective making a sequence of binary decisions. What if a group can take multiple actions? Say, for example, a series of decisions where 2 out of ...
2
votes
0answers
136 views

Isn't it trivial that preferences are single-peaked over two alternatives?

I'm studying Down's Median Voter Theorem which states that if voters have single-peaked preferences over two alternatives arranged along a one-dimensional political spectrum, a majority rule voting ...
1
vote
1answer
86 views

gibbard-satterthwaite theorem and median voting

The gibbard-saterthwatie theorem states that a social choice function where truthfullness is a dominant strategy must be dictatorial. However, in a median voting system, with single peaked preferences ...
5
votes
0answers
78 views

How do you strategically vote to put someone in last place?

I watch a dumb reality TV show which has a certain number of contestants to start with, and every week one contestant is eliminated. Here's how the elimination process works. Every week a certain ...
3
votes
0answers
104 views

Analyses of the paradox of voting — given that close elections are usually disputed?

In the standard analysis of the paradox of voting, votes are pivotal only in two scenarios (exact tie or win by 1). But in reality, vote counting is difficult and messy. And in reality, close ...