Questions tagged [social-choice]

The study of how groups of people should make collective decisions. This can involve voting, bargaining, the application of some protocol (e.g. to fairly divide goods), or maximizing some measure of social welfare.

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Minimalist example of voter profiles yielding different outcomes

Let the set of alternatives be $\left\{a,b,c,d\right\}$. Let there be $n$ types of voter profiles, each type with a different strict ordering over the set of alternatives. The number of voters belonging to the profile types need not be the same, let…
Giskard
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Which of Arrow's four desirable properties' is violated in this scenario?

So the scenario is as follows: there are 3 agents and 4 alternatives, $a,b,c,$ and $d$. Society's ranking of the 4 alternatives is such that the highest-ranked alternative is agent 1's highest-ranked alternative, The alternative that agent 2…
tsp216
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Social choice theory

Is it possible for a social choice rule to simultaneously violate the condition of non dictatorship and weak pareto property? Non dictatorship is when there is no individual such that if he prefers x over y, then so does the society irrespective of…
LUCIFER
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Who is a personal computer buyer in 80s?

There are many materials devoted to the rise of the personal computer industry. Some of them focus on technic aspects. Like "IBM PC was cheap and has open arcitecture. So it won Atari, Commodore and so on". Some of them focus on specific…
Arseniy
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What does social/public-choice theory have to say about plural v. unitary executive?

There are many state-level offices in the US that are elected by the people other than the legislature and the Governor, in the executive (Treasurer, Controller, Attorney General, Secretary, oil & gas regulators, Land Commissioner, Insurance…
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Is single-peaked preferences necessary for majority rule to be transitive and yield non-empty choice set?

I understand that when individuals have single-peaked preferences, majority rule will be transitive and the choice set will be non-empty. So single peaked preferences is a sufficient condition. Is it also necessary? If not, what other domain…
Lol
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Example of social choice rule that does not satisly the unrestricted domain condition

Can any social choice rule that is not complete said to be violating the unrestricted domain condition? Could you provide an example of SCR other than Pareto dominance that is not complete or violates unrestricted domain property?
Lol
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Is a social choice aggregation rule defined for a set of weightings over the set of voters (N)?

In Christian List's Stanford Encyclopaedia entry Social Choice Theory (2013, https://plato.stanford.edu/entries/social-choice) he says that: "an aggregation rule is defined for a fixed set of individuals N and a fixed decision problem, so that…
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Arrow's impossibility theorem

In social choice theory, Arrow's impossibility theorem, the general possibility theorem or Arrow's paradox is an impossibility theorem stating that when voters have three or more distinct alternatives (options), no ranked voting electoral system can…
LUCIFER
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Meltzer-Richard Model and Single Peaked Preferences

How does the Meltzer-Richard model provide a valid justification for single peaked preferences? It has something to do with the Envelope Theorem and showing that the middle class' preferences over tax is the median voter's preference over tax.